Effects of high-scale non-universalities in SUGRA to thelow-scale observables at the LHC
Subhaditya Bhattacharya
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 1
References
JHEP 0710:080,2007, arXiv:0708.2427 [hep-ph] [SB,
AseshKrishna Datta and Biswarup Mukhopadhyaya]
Phys.Rev.D78:035011,2008, arXiv:0804.4051 [hep-ph][SB, AseshKrishna Datta and Biswarup Mukhopadhyaya]
Phys.Rev.D78:115018,2008, arXiv:0809.2012 [hep-ph][SB, AseshKrishna Datta and Biswarup Mukhopadhyaya]
Phys.Rev.D81:015007,2010, arXiv:0903.4196 [hep-ph][SB, Joydeep Chakrabortty]
Phys.Rev.D81:075009,2010, arXiv:0907.3428 [hep-ph][SB, Utpal Chattopadhyay, Debajyoti Chowdhury, Debottam Das and Biswarup
Mukhopadhyaya]
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 2
Plan of the talkBasic ideas
Non-universal gaugino masses
Non-universal scalar masses
Models
Phenomenology
Collider Signature
Summary
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 3
Basic Ideas: SUGRA
mSUGRA: m0, M1/2, A0, sgn of µ, and tan β −→ Wellstudied
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 4
Basic Ideas: SUGRA
mSUGRA: m0, M1/2, A0, sgn of µ, and tan β −→ Wellstudied
Deviations from mSUGRA:
Non-universal M1/2: Non-universal Gaugino mass
Non-universal m0 : Non-universal Scalar mass
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 4
Basic Ideas: SUGRA
mSUGRA: m0, M1/2, A0, sgn of µ, and tan β −→ Wellstudied
Deviations from mSUGRA:
Non-universal M1/2: Non-universal Gaugino mass
Non-universal m0 : Non-universal Scalar mass
NUGM alters chargino-neutralino mass composition and∆mg̃−χ̃. NUSM alters scalar mass hierarchy and decaybranching fractions of g̃.
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 4
Basic Ideas: SUGRA
mSUGRA: m0, M1/2, A0, sgn of µ, and tan β −→ Wellstudied
Deviations from mSUGRA:
Non-universal M1/2: Non-universal Gaugino mass
Non-universal m0 : Non-universal Scalar mass
NUGM alters chargino-neutralino mass composition and∆mg̃−χ̃. NUSM alters scalar mass hierarchy and decaybranching fractions of g̃.
LHC is on −→ Can we distinguish these models frommSUGRA in signature space?
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 4
Non-universal gaugino mass: SUSY-GUT SU(5) and SO(10)
Gauge Kinetic Function: Incorporate terms with ΦN :
fαβ(Φj) = f0(Φ
S)δαβ +∑
N
ξN(Φs)ΦN
αβ
M
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 5
Non-universal gaugino mass: SUSY-GUT SU(5) and SO(10)
Gauge Kinetic Function: Incorporate terms with ΦN :
fαβ(Φj) = f0(Φ
S)δαβ +∑
N
ξN(Φs)ΦN
αβ
M
Representations (to which φN can belong):
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 5
Non-universal gaugino mass: SUSY-GUT SU(5) and SO(10)
Gauge Kinetic Function: Incorporate terms with ΦN :
fαβ(Φj) = f0(Φ
S)δαβ +∑
N
ξN(Φs)ΦN
αβ
M
Representations (to which φN can belong):
For SU(5):
(24× 24)symm = 1 + 24 + 75 + 200
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 5
Non-universal gaugino mass: SUSY-GUT SU(5) and SO(10)
Gauge Kinetic Function: Incorporate terms with ΦN :
fαβ(Φj) = f0(Φ
S)δαβ +∑
N
ξN(Φs)ΦN
αβ
M
Representations (to which φN can belong):
For SU(5):
(24× 24)symm = 1 + 24 + 75 + 200
For SO(10):
(45× 45)symm = 1 + 54 + 210 + 770
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 5
NUGM: Ratios for SU(5) and SO(10) Representations
GUT Representation M3 : M2 : M1 at MGUT
SU(5) 24 1:(-3/2):(-1/2)
SU(5) 75 1:3:(-5)
SU(5) 200 1:2:10
SO(10) 54: H → SU(4)× SU(2)× SU(2) 1:(-3/2):(-1/2)
SO(10) 770: H → SU(4)× SU(2)× SU(2) 1:(2.5):(1.9)
Table 1: Gaugino mass ratios for SU(5) and SO(10) SUSY-GUT.
(Ellis et al. Phys. Lett.B 155(1985)381 etc..)
(SB and Joydeep Chakrabortty, PRD81,015007)
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 6
Two major steps after identifying SUGRA model:
Run down by RGE
Ensure REWSB: EWSB scale at √mt̃Lmt̃R
LSP: Lightest Neutralino χ̃10
Compatibility with different constraints (b −→ sγ, DM,Higgs mass etc...)
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 7
Two major steps after identifying SUGRA model:
Run down by RGE
Ensure REWSB: EWSB scale at √mt̃Lmt̃R
LSP: Lightest Neutralino χ̃10
Compatibility with different constraints (b −→ sγ, DM,Higgs mass etc...)
Collider simulation
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 7
Collider simulation: General strategy
Event generator Pythia 6.4.
Simulate for pp collision with ECM= 14 TeV
Generate leading order 2 → 2 SUSY processes with alldecay chains open
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 8
Collider simulation: General strategy
Event generator Pythia 6.4.
Simulate for pp collision with ECM= 14 TeV
Generate leading order 2 → 2 SUSY processes with alldecay chains open
Choice of pdfset, factorisation and renormalisation scaleaffects
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 8
Collider simulation: General strategy
Event generator Pythia 6.4.
Simulate for pp collision with ECM= 14 TeV
Generate leading order 2 → 2 SUSY processes with alldecay chains open
Choice of pdfset, factorisation and renormalisation scaleaffects
Go to Ratio space of signals to reduce uncertainty
Compare ’signals’ of different models at same g̃ mass
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 8
Collider simulation: Channels
Channels searched for include:
Opposite sign dilepton (OSD) :(ℓ±ℓ∓) + (≥ 2) jets + ET/
Same sign dilepton (SSD) : (ℓ±ℓ±) + (≥ 2) jets + ET/
Trilepton with jets (3ℓ+ jets): 3ℓ + (≥ 2) jets + ET/
Hadronically quiet trilepton* ((3ℓ)): 3ℓ + 0 jets + ET/
Inclusive 4l (4ℓ): 4ℓ + X + ET/
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 9
Collider simulation: Channels
Channels searched for include:
Opposite sign dilepton (OSD) :(ℓ±ℓ∓) + (≥ 2) jets + ET/
Same sign dilepton (SSD) : (ℓ±ℓ±) + (≥ 2) jets + ET/
Trilepton with jets (3ℓ+ jets): 3ℓ + (≥ 2) jets + ET/
Hadronically quiet trilepton* ((3ℓ)): 3ℓ + 0 jets + ET/
Inclusive 4l (4ℓ): 4ℓ + X + ET/
Large ET/ for R-parity (R = (−1)3B+L+2S) conservingSUSY, carried by LSP
Appropriate cuts to reduce background
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 9
NUGM in SU(5) : Sample Result
0
0.2
0.4
0.6
0.8
1
1.2
1.4
15001000500
(1l+
Jets
)/O
SD
Gluino mass
Universal2475
200
0
50
100
150
200
15001000500
Jets
/OS
D
Gluino mass
Universal2475
200
Figure 1: Event ratios in SU(5): mf̃ =500 GeV, µ =300GeV, tan β = 40
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 10
NUGM can lead to a difficult region
Consider:
Squarks and Gluinos very heavy
Sleptons and Electroweak gauginos light
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 11
NUGM can lead to a difficult region
Consider:
Squarks and Gluinos very heavy
Sleptons and Electroweak gauginos light
Need NUGM: M3 >> M2,M1
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 11
NUGM can lead to a difficult region
Consider:
Squarks and Gluinos very heavy
Sleptons and Electroweak gauginos light
Need NUGM: M3 >> M2,M1
Possible from GUT motivated NUGM: a linearcombination of α1+ β24+ γ75 in SU(5) to break theGUT group
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 11
NUGM can lead to a difficult region
Consider:
Squarks and Gluinos very heavy
Sleptons and Electroweak gauginos light
Need NUGM: M3 >> M2,M1
Possible from GUT motivated NUGM: a linearcombination of α1+ β24+ γ75 in SU(5) to break theGUT group
Hadronically quiet trileptons are most useful here
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 11
A scan in the 3l signature space
100
150
200
250
300
350
400
450
500
60 80 100 120 140 160 180
M2
M1
100
150
200
250
300
350
400
450
500
50 100 150 200 250
M2
M1
Figure 2: Significance contours for 3ℓ events, for 100 fb−1. Top left: mℓ̃ = 200 GeV,Top right: mℓ̃ = 300 GeV, Red: σ ≥ 5, Blue: 3 ≤ σ < 5, Black: 2 ≤ σ < 3
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 12
NUSM: 3rd family non-universality
Choose 1,2 gen scalars ≃ TeV−→ keep CP-violation andFCNC under control
3rd gen squarks light −→Naturalness
mHu and mHdlight−→ naturalness and REWSB.
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 13
NUSM: 3rd family non-universality
Choose 1,2 gen scalars ≃ TeV−→ keep CP-violation andFCNC under control
3rd gen squarks light −→Naturalness
mHu and mHdlight−→ naturalness and REWSB.
A large region allowed by DM constraint (Higgs FunnelRegion)
Larger leptonic final states
(SB et al.; PRD 78,115018)
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 13
NUSM: Model 4
0 250 500 750 1000m1/2 (GeV)
0
2500
5000
7500
10000
m0 (
GeV
)
mh=111
mh=114
tanβ=10A0=0, µ>0
NUSM
b s+γ
0 250 500 750 1000m1/2(GeV)
0
2500
5000
7500
10000
m0(
GeV
)
111 114
b−>s+γ
tanβ=15A0=0, µ>0
Bs−>µ+µ−
mh
NUSM
0 500 1000 1500m1/2 (GeV)
0
2000
4000
6000
m0 (
GeV
)
tanβ=40A0=0,µ>0
NUSM
b−>s+γ
mh=111
Bs−>µ+µ−
114
Figure 3: NUSM: m1/2 −m0 plane for tanβ = 10, tanβ = 15 and tanβ = 40.
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 14
Summarize main results:
NUGM: Models with M3 < M1,2 distinguishable throughsuppression in leptonic final states
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 15
Summarize main results:
NUGM: Models with M3 < M1,2 distinguishable throughsuppression in leptonic final states
Distinction of non-universal models: easier once CDMconstraint imposed
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 15
Summarize main results:
NUGM: Models with M3 < M1,2 distinguishable throughsuppression in leptonic final states
Distinction of non-universal models: easier once CDMconstraint imposed
NUSM: Very heavy 1,2 generation squarks and lighterthird family −→ distinguishable with larger leptonic finalstates
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 15
Summarize main results:
NUGM: Models with M3 < M1,2 distinguishable throughsuppression in leptonic final states
Distinction of non-universal models: easier once CDMconstraint imposed
NUSM: Very heavy 1,2 generation squarks and lighterthird family −→ distinguishable with larger leptonic finalstates
Hadronically quiet trileptons essential to explore very highmg̃ and mq̃, but, lighter mχ̃ and mℓ̃ −→ may arise fromSUSY-GUT
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 15
On-going works in similar direction
NUHM and tau polarisation: With S. Biswas et al.
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 16
On-going works in similar direction
NUHM and tau polarisation: With S. Biswas et al.
NUGM: Inclusion of intermediate scale for SO(10): WithJ. Chakrabortty et al.
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 16
On-going works in similar direction
NUHM and tau polarisation: With S. Biswas et al.
NUGM: Inclusion of intermediate scale for SO(10): WithJ. Chakrabortty et al.
Most favorable SUGRA scenario at LHC: with S. Nandi
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 16
On-going works in similar direction
NUHM and tau polarisation: With S. Biswas et al.
NUGM: Inclusion of intermediate scale for SO(10): WithJ. Chakrabortty et al.
Most favorable SUGRA scenario at LHC: with S. Nandi
Correlation of final state particles in a favorable SUSYmodel: With K. Hagiwara et al.
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 16
Thank You
Subhaditya Bhattacharya, WC LHC, UCI, Dec 10,2010 – p. 17