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Survey about the physics of z’ gauge boson. Qisheng zhu 11-03-31. outline. Introductions Models Model independent approach Current constraints Summary and conclusions. Introductions. Motivations : Implications :. models. Divide into two types : 1: Perturbative (E6,GLR,GSM models) - PowerPoint PPT Presentation
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Survey about the physics of z’ gauge boson Qisheng zhu 11-03-31
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Page 1: Survey about the physics of z’ gauge boson

Survey about the physics of zrsquo gauge boson

Qisheng zhu

11-03-31

outline

bull Introductions

bull Models

bull Model independent approach

bull Current constraints

bull Summary and conclusions

Introductions

Motivations

Implications

models

bull Divide into two types

1 Perturbative (E6GLRGSM models)

2 strongly coupled gauge theories

E6 models

bull

bull

bull

bull bull the surviving E6 generator

bull

bull

Generalised left-right symmetry models (GLR)

bull

bull

bull

bull

bull

bull

Generalised sequential models (GSM)

bull

bull

bull

bull

bull

bull

table model parameters and couplings

Strong coupled model

bull Four site higgsless model

Zrsquo mass and z-zrsquo mixing

bull bull bull bull bull bull bull bull

bull

bull

bull

bull

Zrsquo couplings

bull

bull

bull

bull

bull

bull bull weak angle

bull new gauge coupling

bull

bull New chiral coupling

bull bull vector and axial couplings bull bull

Zrsquo production and decay in the narrow width approximation

bull

bull In the narrow width approximation (NWA)

bull bull The peak cross-section

bull

bull

bull assuming only sm particles in the final states

bull

bull

bull

bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe

d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings

Finite width effect

bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width

bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width

bull

bull

bull Di-lepton invariant mass distribution for the Zprime boson production in various m

odels at the Tevatron (left panel) andLHC7TeV (right panel)

bull

bull

Current constraints

bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre

nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics

bull From collider

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
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  • Slide 28
Page 2: Survey about the physics of z’ gauge boson

outline

bull Introductions

bull Models

bull Model independent approach

bull Current constraints

bull Summary and conclusions

Introductions

Motivations

Implications

models

bull Divide into two types

1 Perturbative (E6GLRGSM models)

2 strongly coupled gauge theories

E6 models

bull

bull

bull

bull bull the surviving E6 generator

bull

bull

Generalised left-right symmetry models (GLR)

bull

bull

bull

bull

bull

bull

Generalised sequential models (GSM)

bull

bull

bull

bull

bull

bull

table model parameters and couplings

Strong coupled model

bull Four site higgsless model

Zrsquo mass and z-zrsquo mixing

bull bull bull bull bull bull bull bull

bull

bull

bull

bull

Zrsquo couplings

bull

bull

bull

bull

bull

bull bull weak angle

bull new gauge coupling

bull

bull New chiral coupling

bull bull vector and axial couplings bull bull

Zrsquo production and decay in the narrow width approximation

bull

bull In the narrow width approximation (NWA)

bull bull The peak cross-section

bull

bull

bull assuming only sm particles in the final states

bull

bull

bull

bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe

d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings

Finite width effect

bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width

bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width

bull

bull

bull Di-lepton invariant mass distribution for the Zprime boson production in various m

odels at the Tevatron (left panel) andLHC7TeV (right panel)

bull

bull

Current constraints

bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre

nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics

bull From collider

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
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  • Slide 22
  • Slide 23
  • Slide 24
  • Slide 25
  • Slide 26
  • Slide 27
  • Slide 28
Page 3: Survey about the physics of z’ gauge boson

Introductions

Motivations

Implications

models

bull Divide into two types

1 Perturbative (E6GLRGSM models)

2 strongly coupled gauge theories

E6 models

bull

bull

bull

bull bull the surviving E6 generator

bull

bull

Generalised left-right symmetry models (GLR)

bull

bull

bull

bull

bull

bull

Generalised sequential models (GSM)

bull

bull

bull

bull

bull

bull

table model parameters and couplings

Strong coupled model

bull Four site higgsless model

Zrsquo mass and z-zrsquo mixing

bull bull bull bull bull bull bull bull

bull

bull

bull

bull

Zrsquo couplings

bull

bull

bull

bull

bull

bull bull weak angle

bull new gauge coupling

bull

bull New chiral coupling

bull bull vector and axial couplings bull bull

Zrsquo production and decay in the narrow width approximation

bull

bull In the narrow width approximation (NWA)

bull bull The peak cross-section

bull

bull

bull assuming only sm particles in the final states

bull

bull

bull

bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe

d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings

Finite width effect

bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width

bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width

bull

bull

bull Di-lepton invariant mass distribution for the Zprime boson production in various m

odels at the Tevatron (left panel) andLHC7TeV (right panel)

bull

bull

Current constraints

bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre

nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics

bull From collider

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
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  • Slide 27
  • Slide 28
Page 4: Survey about the physics of z’ gauge boson

models

bull Divide into two types

1 Perturbative (E6GLRGSM models)

2 strongly coupled gauge theories

E6 models

bull

bull

bull

bull bull the surviving E6 generator

bull

bull

Generalised left-right symmetry models (GLR)

bull

bull

bull

bull

bull

bull

Generalised sequential models (GSM)

bull

bull

bull

bull

bull

bull

table model parameters and couplings

Strong coupled model

bull Four site higgsless model

Zrsquo mass and z-zrsquo mixing

bull bull bull bull bull bull bull bull

bull

bull

bull

bull

Zrsquo couplings

bull

bull

bull

bull

bull

bull bull weak angle

bull new gauge coupling

bull

bull New chiral coupling

bull bull vector and axial couplings bull bull

Zrsquo production and decay in the narrow width approximation

bull

bull In the narrow width approximation (NWA)

bull bull The peak cross-section

bull

bull

bull assuming only sm particles in the final states

bull

bull

bull

bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe

d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings

Finite width effect

bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width

bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width

bull

bull

bull Di-lepton invariant mass distribution for the Zprime boson production in various m

odels at the Tevatron (left panel) andLHC7TeV (right panel)

bull

bull

Current constraints

bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre

nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics

bull From collider

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
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  • Slide 28
Page 5: Survey about the physics of z’ gauge boson

E6 models

bull

bull

bull

bull bull the surviving E6 generator

bull

bull

Generalised left-right symmetry models (GLR)

bull

bull

bull

bull

bull

bull

Generalised sequential models (GSM)

bull

bull

bull

bull

bull

bull

table model parameters and couplings

Strong coupled model

bull Four site higgsless model

Zrsquo mass and z-zrsquo mixing

bull bull bull bull bull bull bull bull

bull

bull

bull

bull

Zrsquo couplings

bull

bull

bull

bull

bull

bull bull weak angle

bull new gauge coupling

bull

bull New chiral coupling

bull bull vector and axial couplings bull bull

Zrsquo production and decay in the narrow width approximation

bull

bull In the narrow width approximation (NWA)

bull bull The peak cross-section

bull

bull

bull assuming only sm particles in the final states

bull

bull

bull

bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe

d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings

Finite width effect

bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width

bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width

bull

bull

bull Di-lepton invariant mass distribution for the Zprime boson production in various m

odels at the Tevatron (left panel) andLHC7TeV (right panel)

bull

bull

Current constraints

bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre

nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics

bull From collider

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
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  • Slide 28
Page 6: Survey about the physics of z’ gauge boson

Generalised left-right symmetry models (GLR)

bull

bull

bull

bull

bull

bull

Generalised sequential models (GSM)

bull

bull

bull

bull

bull

bull

table model parameters and couplings

Strong coupled model

bull Four site higgsless model

Zrsquo mass and z-zrsquo mixing

bull bull bull bull bull bull bull bull

bull

bull

bull

bull

Zrsquo couplings

bull

bull

bull

bull

bull

bull bull weak angle

bull new gauge coupling

bull

bull New chiral coupling

bull bull vector and axial couplings bull bull

Zrsquo production and decay in the narrow width approximation

bull

bull In the narrow width approximation (NWA)

bull bull The peak cross-section

bull

bull

bull assuming only sm particles in the final states

bull

bull

bull

bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe

d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings

Finite width effect

bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width

bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width

bull

bull

bull Di-lepton invariant mass distribution for the Zprime boson production in various m

odels at the Tevatron (left panel) andLHC7TeV (right panel)

bull

bull

Current constraints

bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre

nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics

bull From collider

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
  • Slide 11
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
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  • Slide 23
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  • Slide 26
  • Slide 27
  • Slide 28
Page 7: Survey about the physics of z’ gauge boson

Generalised sequential models (GSM)

bull

bull

bull

bull

bull

bull

table model parameters and couplings

Strong coupled model

bull Four site higgsless model

Zrsquo mass and z-zrsquo mixing

bull bull bull bull bull bull bull bull

bull

bull

bull

bull

Zrsquo couplings

bull

bull

bull

bull

bull

bull bull weak angle

bull new gauge coupling

bull

bull New chiral coupling

bull bull vector and axial couplings bull bull

Zrsquo production and decay in the narrow width approximation

bull

bull In the narrow width approximation (NWA)

bull bull The peak cross-section

bull

bull

bull assuming only sm particles in the final states

bull

bull

bull

bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe

d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings

Finite width effect

bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width

bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width

bull

bull

bull Di-lepton invariant mass distribution for the Zprime boson production in various m

odels at the Tevatron (left panel) andLHC7TeV (right panel)

bull

bull

Current constraints

bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre

nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics

bull From collider

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
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Page 8: Survey about the physics of z’ gauge boson

bull

table model parameters and couplings

Strong coupled model

bull Four site higgsless model

Zrsquo mass and z-zrsquo mixing

bull bull bull bull bull bull bull bull

bull

bull

bull

bull

Zrsquo couplings

bull

bull

bull

bull

bull

bull bull weak angle

bull new gauge coupling

bull

bull New chiral coupling

bull bull vector and axial couplings bull bull

Zrsquo production and decay in the narrow width approximation

bull

bull In the narrow width approximation (NWA)

bull bull The peak cross-section

bull

bull

bull assuming only sm particles in the final states

bull

bull

bull

bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe

d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings

Finite width effect

bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width

bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width

bull

bull

bull Di-lepton invariant mass distribution for the Zprime boson production in various m

odels at the Tevatron (left panel) andLHC7TeV (right panel)

bull

bull

Current constraints

bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre

nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics

bull From collider

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
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  • Slide 23
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  • Slide 26
  • Slide 27
  • Slide 28
Page 9: Survey about the physics of z’ gauge boson

Strong coupled model

bull Four site higgsless model

Zrsquo mass and z-zrsquo mixing

bull bull bull bull bull bull bull bull

bull

bull

bull

bull

Zrsquo couplings

bull

bull

bull

bull

bull

bull bull weak angle

bull new gauge coupling

bull

bull New chiral coupling

bull bull vector and axial couplings bull bull

Zrsquo production and decay in the narrow width approximation

bull

bull In the narrow width approximation (NWA)

bull bull The peak cross-section

bull

bull

bull assuming only sm particles in the final states

bull

bull

bull

bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe

d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings

Finite width effect

bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width

bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width

bull

bull

bull Di-lepton invariant mass distribution for the Zprime boson production in various m

odels at the Tevatron (left panel) andLHC7TeV (right panel)

bull

bull

Current constraints

bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre

nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics

bull From collider

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
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Page 10: Survey about the physics of z’ gauge boson

Zrsquo mass and z-zrsquo mixing

bull bull bull bull bull bull bull bull

bull

bull

bull

bull

Zrsquo couplings

bull

bull

bull

bull

bull

bull bull weak angle

bull new gauge coupling

bull

bull New chiral coupling

bull bull vector and axial couplings bull bull

Zrsquo production and decay in the narrow width approximation

bull

bull In the narrow width approximation (NWA)

bull bull The peak cross-section

bull

bull

bull assuming only sm particles in the final states

bull

bull

bull

bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe

d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings

Finite width effect

bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width

bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width

bull

bull

bull Di-lepton invariant mass distribution for the Zprime boson production in various m

odels at the Tevatron (left panel) andLHC7TeV (right panel)

bull

bull

Current constraints

bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre

nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics

bull From collider

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
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Page 11: Survey about the physics of z’ gauge boson

bull

bull

bull

bull

Zrsquo couplings

bull

bull

bull

bull

bull

bull bull weak angle

bull new gauge coupling

bull

bull New chiral coupling

bull bull vector and axial couplings bull bull

Zrsquo production and decay in the narrow width approximation

bull

bull In the narrow width approximation (NWA)

bull bull The peak cross-section

bull

bull

bull assuming only sm particles in the final states

bull

bull

bull

bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe

d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings

Finite width effect

bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width

bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width

bull

bull

bull Di-lepton invariant mass distribution for the Zprime boson production in various m

odels at the Tevatron (left panel) andLHC7TeV (right panel)

bull

bull

Current constraints

bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre

nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics

bull From collider

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
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  • Slide 26
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  • Slide 28
Page 12: Survey about the physics of z’ gauge boson

Zrsquo couplings

bull

bull

bull

bull

bull

bull bull weak angle

bull new gauge coupling

bull

bull New chiral coupling

bull bull vector and axial couplings bull bull

Zrsquo production and decay in the narrow width approximation

bull

bull In the narrow width approximation (NWA)

bull bull The peak cross-section

bull

bull

bull assuming only sm particles in the final states

bull

bull

bull

bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe

d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings

Finite width effect

bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width

bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width

bull

bull

bull Di-lepton invariant mass distribution for the Zprime boson production in various m

odels at the Tevatron (left panel) andLHC7TeV (right panel)

bull

bull

Current constraints

bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre

nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics

bull From collider

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
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  • Slide 13
  • Slide 14
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  • Slide 23
  • Slide 24
  • Slide 25
  • Slide 26
  • Slide 27
  • Slide 28
Page 13: Survey about the physics of z’ gauge boson

bull

bull New chiral coupling

bull bull vector and axial couplings bull bull

Zrsquo production and decay in the narrow width approximation

bull

bull In the narrow width approximation (NWA)

bull bull The peak cross-section

bull

bull

bull assuming only sm particles in the final states

bull

bull

bull

bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe

d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings

Finite width effect

bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width

bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width

bull

bull

bull Di-lepton invariant mass distribution for the Zprime boson production in various m

odels at the Tevatron (left panel) andLHC7TeV (right panel)

bull

bull

Current constraints

bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre

nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics

bull From collider

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
  • Slide 11
  • Slide 12
  • Slide 13
  • Slide 14
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  • Slide 24
  • Slide 25
  • Slide 26
  • Slide 27
  • Slide 28
Page 14: Survey about the physics of z’ gauge boson

Zrsquo production and decay in the narrow width approximation

bull

bull In the narrow width approximation (NWA)

bull bull The peak cross-section

bull

bull

bull assuming only sm particles in the final states

bull

bull

bull

bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe

d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings

Finite width effect

bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width

bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width

bull

bull

bull Di-lepton invariant mass distribution for the Zprime boson production in various m

odels at the Tevatron (left panel) andLHC7TeV (right panel)

bull

bull

Current constraints

bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre

nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics

bull From collider

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
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Page 15: Survey about the physics of z’ gauge boson

bull assuming only sm particles in the final states

bull

bull

bull

bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe

d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings

Finite width effect

bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width

bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width

bull

bull

bull Di-lepton invariant mass distribution for the Zprime boson production in various m

odels at the Tevatron (left panel) andLHC7TeV (right panel)

bull

bull

Current constraints

bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre

nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics

bull From collider

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
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  • Slide 28
Page 16: Survey about the physics of z’ gauge boson

Finite width effect

bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width

bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width

bull

bull

bull Di-lepton invariant mass distribution for the Zprime boson production in various m

odels at the Tevatron (left panel) andLHC7TeV (right panel)

bull

bull

Current constraints

bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre

nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics

bull From collider

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
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Page 17: Survey about the physics of z’ gauge boson

bull

bull

bull Di-lepton invariant mass distribution for the Zprime boson production in various m

odels at the Tevatron (left panel) andLHC7TeV (right panel)

bull

bull

Current constraints

bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre

nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics

bull From collider

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
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Page 18: Survey about the physics of z’ gauge boson

bull

bull

Current constraints

bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre

nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics

bull From collider

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
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Page 19: Survey about the physics of z’ gauge boson

Current constraints

bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre

nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics

bull From collider

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
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Page 20: Survey about the physics of z’ gauge boson

bull

bull

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
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Page 21: Survey about the physics of z’ gauge boson

Constraints from collider

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
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Page 22: Survey about the physics of z’ gauge boson

bull

bull

bull

bull

bull

bull

bull

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
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Page 23: Survey about the physics of z’ gauge boson

Expected lhc potential at 7TeV to probe Zrsquo models

bull bull

bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron

For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
  • Slide 2
  • Slide 3
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Page 24: Survey about the physics of z’ gauge boson

bull

bull

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

  • Slide 1
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Page 25: Survey about the physics of z’ gauge boson

Probe the spin

bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered

bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

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Page 26: Survey about the physics of z’ gauge boson

bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is

bull bull

where theta is the angle between the incident quark or lepton and fe

rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination

of the distribution characteristic of spin 1

bull The spin can also be probed in e+eminus by polarization asymmetries

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

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Page 27: Survey about the physics of z’ gauge boson

Summary and conclusions

bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable

bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation

bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass

bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

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Page 28: Survey about the physics of z’ gauge boson

bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime

bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect

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