Strategies and Hints for a String Strategies and Hints for a String PhenomenologistPhenomenologist

Yann Mambrini, DESY Hamburg, in collaboration with

P. Binetruy, A. Birkedal, C. Muñoz, B. Nelson and E. Nezri

EuroGDR SUSY, Frascatti, november 27th 2004

PLANPLAN

II)II) Constructions of string effective models Constructions of string effective models Perturbative and non-perturbative effect s: Gaugino condensationPerturbative and non-perturbative effect s: Gaugino condensation

Lagrangian ConstructionLagrangian ConstructionPhenomenologyPhenomenology

III)III) HintsHintsFrom accelerators to astrophysicsFrom accelerators to astrophysics

Computing ToolsComputing Tools

I)I) PhilosophyPhilosophyFrom String to FieldsFrom String to Fields

Horizontal versus Vertical sudiesHorizontal versus Vertical sudies

IV)IV) ComplementaritiesComplementaritiesExperiments vs TheoryExperiments vs Theory

Theory vs ExperimentsTheory vs Experiments

V)V) Conclusion and OutlooksConclusion and Outlooks

PHILOSOPHIESPHILOSOPHIES

PHILOSOPHIESPHILOSOPHIES

PHILOSOPHIESPHILOSOPHIES

PHILOSOPHIESPHILOSOPHIES

Lagrangian ConstructionLagrangian Construction

K(S,T) = -Ln(S+S) – 3 Ln(T+T) + (T+T)ⁿC C__ _

n

Astring 'ddxx

Mplanck >> Mw

Aeff 'd xg R ') + ¼ Tr F ') + ...

10 (10)

Aeff d xg R [ ¼ (∂ S ∂ S) / S + ¾ (∂ T ∂ T) / T - ¼ S Tr F

4 (4)

Compactification (N=1, dim=4)

. fa = S <S> = 1/g2 ~ 2. fa = S <S> = 1/g2 ~ 2 T T ~ R~ R 22

Gaugino CondensationGaugino Condensation V

0

MplanckMw

. . gg = _______________ = _______________ Re(S) + b8 ln(Re(S) + b8 ln(/ M/ Mstringstring) )

E8E8

22

22

= Mstring exp (-Re(S)/b8)

hiddenhidden__ 33

L ~ Fs (L ~ Fs ())hiddenhidden

__

WWnpnp ~ M ~ Mstringstring exp (-3S/b exp (-3S/b88))33

Gaugino CondensationGaugino Condensation

Wnp(S) = d1 exp(-S/Wnp(S) = d1 exp(-S/

Wnp(S) = d1 exp(-S/Wnp(S) = d1 exp(-S/ d2 exp d2 exp (-S/(-S/

V

S

W(S) = 0W(S) = 0

0

1 2 3 4

I) RacetrackI) Racetrack

Gaugino CondensationGaugino Condensation

Wnp(S) = d+ exp(-S/Wnp(S) = d+ exp(-S/

Knp(S) = K(S)Knp(S) = K(S) k(S) k(S)

V

S

W(S) = 0W(S) = 0

0

1 2 3 4

II) BGWII) BGW

Gaugino CondensationGaugino Condensation

Wfl(S) = a S + bWfl(S) = a S + b

V

S

W(S) = 0W(S) = 0

0

1 2 3 4

III) Fluxes in Type IIBIII) Fluxes in Type IIB

Lagrangian ConstructionLagrangian Construction

Astring 'ddxx

Mplanck >> Mw

Aeff 'd xg R ') + ¼ Tr F ') + ...

10 (10)

Aeff d xg R [ ¼ (∂ S ∂ S) / S + ¾ (∂ T ∂ T) / T - ¼ S Tr F

4 4

Compactification

W ~ d1 exp(-3S/b1) + d2 exp(-3S/b2)W ~ d1 exp(-3S/b1) + d2 exp(-3S/b2)

npnp

W ~ d+ exp(-3S/b+)W ~ d+ exp(-3S/b+)K = K (S)K = K (S) + K+ K

npnp

npnp

K(S,T) = -Ln(S+S) – 3 Ln(T+T) + (T+T)ⁿC C__ _

n

Effective Models LandscapeEffective Models Landscape

SUGRASUGRA

M1M2M3mH1mH2mQmUmDmLmEAuAdAμB

EffectiveEffective StringString

M3/2<Ft><Fs>tan GScos<V>=0

MSUGRAMSUGRA

M0M1/2ATanSignμ

Het.Het.BGWBGW

Knp,Knp,1cond1cond

M3/2Tanb+<t>GS<V>=0

RacetrackRacetrack(Wnp,(Wnp,2 cond.)2 cond.)

Fluxed MSSM(Brane)

TOOLSTOOLS

SUSPECT2

SDECAY

BrBr

Micromegas1.3

b -> sb -> s

g-2g-2

DarkSusy4

DirecteDirecteIndirecteIndirecte

e+e-

Suspect2* (Strings, RGE,

CCB)

Low Energy SpectrumLow Energy SpectrumCouplingsCouplings

Results I : Accelerators physicsResults I : Accelerators physics

Linear Colider 800 GeVLinear Colider 800 GeV

Mh < 113.5 GeVMh < 113.5 GeV

Mx+< 103.5 GeVMx+< 103.5 GeV

b -> s b -> s

MAPMAP

RACETRACKRACETRACK BGWBGW

Astrophysical SourcesAstrophysical Sources

Results II : FluxesResults II : Fluxes

Results III : Exclusion?Results III : Exclusion?

b+b+

M3/2M3/2

EWSB conditionEWSB condition g-2g-2 b -> s b -> s char > 103.5 GeVchar > 103.5 GeV MMhiggs > 113.5 GeV higgs > 113.5 GeV 0.1 < 0.1 < Indirect from SunIndirect from SunLinear Collider 800 GeVLinear Collider 800 GeVIndirect detection from Galactic CenterIndirect detection from Galactic Center

OUTLOOKSOUTLOOKS

Application to stabilized type IIB fluxes models on D7 branesApplication to stabilized type IIB fluxes models on D7 branes

Positron fluxes (PAMELA, AMS)Positron fluxes (PAMELA, AMS)

Reconstruction of String Parameters from LHC/LC analysisReconstruction of String Parameters from LHC/LC analysis

Profiles in adiabatic compression modelsProfiles in adiabatic compression models