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Alexander Belyaev 1 Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008 Dark Matter Motivated SUSY signatures at the LHC Alexander Belyaev Southampton University & Rutherford Appleton LAB Elementary Particle Physics Seminar Oxford, October 21, 2008

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Page 1: Dark Matter Motivated SUSY signatures at the LHC Belyaev.pdf · Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008 ... Alexander Belyaev Southampton University &

Alexander Belyaev 1

Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

Dark Matter Motivated SUSYsignatures at the LHC

Alexander Belyaev

Southampton University & Rutherford Appleton LAB

Elementary Particle Physics SeminarOxford, October 21, 2008

Page 2: Dark Matter Motivated SUSY signatures at the LHC Belyaev.pdf · Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008 ... Alexander Belyaev Southampton University &

Alexander Belyaev 2

Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

OUTLINE

Attractive features of Supersymmetry

Viable Supersymmetric modelsminimal Supergravity model as an example (mSUGRA)

theoretical and experimental constraints

problems of mSUGRA and motivation for non-universal

Supergravity models

SO(10) SUSY GUTs models with Yukawa couplings unification

open questions

Conclusions

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

The present status of the SMBased on SU(3)xSU(2)LxU(1)Y gauge symmetry spontaneously broken down to SU(3)xU(1)e: Matter: 3 generations ofquarks and leptonsOne of the central role is played by Higgs field

one higgs doublet, interacts with all fieldsdevelops condensate W,Z bosons, lepton and quarks and Higgs field itself acquires mass

Higgs boson is not found yet and is the most wanted particle!

The present Higgs mass limit is MH>114.4 GeV from LEP2

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

SM describes perfectly almost all data ...

EW Precision fits http://lepewwg.web.cern.ch/LEPEWWG/

The present status of the SM

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

SM describes perfectly almost all data ... but has serious problems

Experimental problemsDark Matter & Dark Energy problemmatter – anti-matter asymmetry: baryogenesis problemthe origin of EWSB is still unknown. Higgs boson is not found yet …

Theoretical problemsthe problem of large quantum corrections: fine-tuning problemat very high energy forces start to behave similar due to effect of different 'running' of coupling constants for abelian and non-abelian fields. But unification is not exact!gravity stays apart – not included into SM

Open questions

(100 GeV)2 = (1016 GeV)2 (1016 GeV)2

the cancellation is at the 28th digitfor UV ~ 1016 GeV

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

Open questions and underlying theory

The Nature of Electroweak Symmetry

Breaking

The origin ofDark Matter

and Dark Energy

The origin ofmatter/anti-matter

asymmetry

The problem of hierarchy, fine-tuning, unification with gravity

Underlying Theory

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

Supersymmetryboson-fermion symmetry aimed to unify all forces in nature

extends Poincare algebra to Super-Poincare Algebra: the most general set of space-time symmetries! (1971-74)

Golfand and Likhtman'71; Ramond'71; Neveu,Schwarz'71; Volkov and Akulov'73; Wess and Zumino'74

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

γ,W,Zh,H,A,H

e,ν,u,dSUSY partnerParticle

04

01

21

~...~,~,~

χχχχ ±±

due~,~,~,~ ν

spin 1/2 spin 0

spin 1 and 0 spin 1/2

Supersymmetryboson-fermion symmetry aimed to unify all forces in nature

extends Poincare algebra to Super-Poincare Algebra: the most general set of space-time symmetries! (1971-74)

Golfand and Likhtman'71; Ramond'71; Neveu,Schwarz'71; Volkov and Akulov'73; Wess and Zumino'74

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

γ,W,Zh,H,A,H

e,ν,u,dSUSY partnerParticle

04

01

21

~...~,~,~

χχχχ ±±

due~,~,~,~ ν

spin 1/2 spin 0

spin 1 and 0 spin 1/2

could give rise the proton decay!

Supersymmetryboson-fermion symmetry aimed to unify all forces in nature

extends Poincare algebra to Super-Poincare Algebra: the most general set of space-time symmetries! (1971-74)

Golfand and Likhtman'71; Ramond'71; Neveu,Schwarz'71; Volkov and Akulov'73; Wess and Zumino'74

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

Lightest SUSY particle (LSP) is stable!

the absence of proton decay suggests R-parityγ,W,Zh,H,A,H

e,ν,u,dSUSY partnerParticle

04

01

21

~...~,~,~

χχχχ ±±

due~,~,~,~ ν

spin 1/2 spin 0

spin 1 and 0 spin 1/2

Supersymmetryboson-fermion symmetry aimed to unify all forces in nature

extends Poincare algebra to Super-Poincare Algebra: the most general set of space-time symmetries! (1971-74)

Golfand and Likhtman'71; Ramond'71; Neveu,Schwarz'71; Volkov and Akulov'73; Wess and Zumino'74

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

Lightest SUSY particle (LSP) is stable!

the absence of proton decay suggests R-parityγ,W,Zh,H,A,H

e,ν,u,dSUSY partnerParticle

04

01

21

~...~,~,~

χχχχ ±±

due~,~,~,~ ν

spin 1/2 spin 0

spin 1 and 0 spin 1/2

Supersymmetryboson-fermion symmetry aimed to unify all forces in nature

extends Poincare algebra to Super-Poincare Algebra: the most general set of space-time symmetries! (1971-74)

Golfand and Likhtman'71; Ramond'71; Neveu,Schwarz'71; Volkov and Akulov'73; Wess and Zumino'74

MSSM Higgs sector: two Higgs doublets provide masses for up- and down-type fermions, cancellation of anomalies5 Higgs bosons h,H,A,H+/- : M

A , tan v

u/v

d define Higgs sector at tree-level

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

SUSY invented more then 30 years ago has 'little' problem

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

SUSY invented more then 30 years ago has 'little' problem

it has not been found yet!

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

SUSY invented more then 30 years ago has 'little' problem

it has not been found yet!Why it is still so attractive?

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

Consequences of SUSY

Provides good DM candidate – LSP

CP violation can be incorporated -

baryogenesis via leptogenesis

Radiative EWSB

Solves fine-tuning problem

Provides gauge coupling unification

local supersymmetry requires

spin 2 boson – graviton!

allows to introduce fermions into

string theories

Contrary to many recent modelsSUSY was not deliberately designed to solve the SM problems!

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

SUSY breaking and mSUGRA scenario

Gravity mediation Gauge mediation Anomaly mediation Gaugino mediation

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

Minimal Supergravity Model (mSUGRA)

ISASUGRA, SPHENO,SUSPECT,SOFTSUSY

independent parameters:

● m0 – universal scalar mass

● m1/2 – universal gaugino masses

● A trilinear soft parameter

● tan parameter

(B traded for tan

● sign(μ), μ2 value is fixed

by the minimization condition for

the Higgs potential

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Crucial constraint from Cosmology: DM candidate should be heavy, neutral, stable, non-baryonic Dark Matter candidate

Baryons: 4%± 0.4% Dark Matter: 23%±4% Dark Energy: 73%± 4%

Evolution of neutralino relic density Challenge is to evaluate thousands

annihilation/co-annihilation diagrams

relic density depends crucially on

thermal equilibrium stage:

universe cools: , n = neq~ e−m/T

neutralinos “freeze-out” at

ISARED code: complete set of processes

Baer, A.B.A.B., Balazs '02

exact tree-level calculations using CompHEP

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

Neutralino relic density in mSUGRAmost of the parameter space is ruled out! special regions with high are required to get

1. bulk region: light sfermions

2. stau coannihilation:degenerate and stau

3. focus point:mixed neutralino,low importance of higgsino-wino component

Baer, A.B, Balazs '02

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

1. bulk region: light sfermions

2. stau coannihilation:degenerate and stau

3. focus point:mixed neutralino,low importance of higgsino-wino component

additional regions:Z/h annihilationstop coannihilation

4. funnel: (large tan )annihilation via A, H

Neutralino relic density in mSUGRA

Baer, A.B, Balazs '02

most of the parameter space is ruled out! special regions with high are required to get

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Baer,A.B.,Krupovnickas'03

Collider signatures in DM allowed regions

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Baer,A.B.,Krupovnickas'03

Collider signatures in DM allowed regions

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

TevatronTevatron

Baer,A.B.,Krupovnickas'03

1

23

4

Collider signatures in DM allowed regionsDM allowed regions are difficult for the observation at the colliders:

stau(stop) co-annihilation , FP region: small visible energy release

LHC and ILC are highly complementary!

productiondecay

1

2

3

4

production

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Why FP region is importantsmall value of | |-parameter: mixed higgsino-bino LSPLight mass spectum of chargino and neutralinoslow value of | |-parameter was advocated as “fine-tuning” measureDM motivated mSUGRA region with 'natural' neutralino mass ~100 GeV !ILC connection: the signal observation at the LHC is crucial for the fate of ILC neutralino

and chargino mass matrices

Chan, Chattopadhyay,Nath '97; Feng, Matchev, Moroi '99; Baer, Chen,Paige,Tata '95, Chattopadhyay, Datta's, Roy '00

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

Recent Studies in FP region

Bednyakov, Budagov,Gladyshev, Kazakov,Khoriauli, Khubua, Khramov

DeBoer, Sander, Zhukov,Gladyshev, Kazakov

Baer,Barger,Shaughnessy,Summy,Wang

Das,Datta,Guchait,Maity,Mukherjee

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'Far' FP analysis at the LHC

'far' FP region dominated by EW chargino-neutralino production - requires special cuts/analysis the signal observation in the 'far' FP region could be crucial for the fate of ILC

A.B, Genest, Leroy, Mehdiyev'07

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

FP cross sections

Baer et al'07

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

Improved strategy: softer preselection + new kinematical cuts

(max)

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Relative contributions of SUSY subprocesses (before/after cuts)

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Relative contributions of SUSY subprocesses (before/after cuts)

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

Extended LHC reach

A.B, Genest, Leroy, Mehdiyev'07

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

Complementarity of Direct and Indirect DM search

Stage 1: CDMS1, Edelweiss, Zeplin1Stage 2: CDMS2, CRESST2, Zeplin2 Stage 3: SuperCDMS, Zeplin 1 ton, WARP

DM direct detection: neutralino scattering off nuclei

DM indirect detection: DM indirect detection: signatures from neutralino annihilationin halo, core of the Earth and Sunphotons, anti-protons, positrons, neutrinos

Neutrino telescopes: Amanda, Icecube, Antares

Baer, A.B., Krupovnikas, O'Farrill '04

Isares codeIsared code

10-9 pb

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

mSUGRA DD search

A.B., Dar, Gogoladze, Mustafayev, Shafi

A0

0.50.0-1

-2[GeV]

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More on SUSY constraints ...

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

ISATOOLS

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

MSSM Higgs search at LEP2

Zh and Ah channels are highly complementary!

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

Light MSSM Higgs scenarioKey-point: SUSY corrections are non-universal for H and bbH couplings (lagre + non­decoupled (light) MA and MH (~ 120 GeV)

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

experiment

Theorybased one+e- data

Misiak,Steinhauser '06 Theory:

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mSUGRA: combined constraints

Baer, A.B., Krupovnickas, Mustafayev hep-ph/0403214

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mSUGRA: analysis

Baer, A.B., Krupovnickas, Mustafayev hep-ph/0403214

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O. Buchmueller, R. Cavanaugh, A. De Roeck, S. Heinemeyer, G. Isidori, P. Paradisi, F. Ronga, A. Weber, G. W. ’07

Global CMSSM fit 68% (dotted) and 95% (solid) CL regions

Rozkowski,Austri,Trotta ’07

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SUGRA: normal mass hierarchy (NMH)

Baer, A.B., Krupovnickas, Mustafayev hep-ph/0403214

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NMH: SUSY spectra and LHC signatures

m0(3)

m0(1)

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Scenario with non-universal Higgs masses (NUHM)

Baer, A.B., Mustafayev, Profumo, Tata '05

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

Scenario with non-universal Higgs masses (NUHM)

Baer, A.B., Mustafayev, Profumo, Tata '05

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

Scenario with non-universal Higgs masses (NUHM)

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

Collider signatures for NUMH1 scenario

ILC:

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SUSY GUTs

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SUSY GUTs

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Results for SO(10) model

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SO(10): parameter space providing Yukawa unification

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

Non-universal gaugino masses SUSY Heterotic superstring models with orbifold compactification: SUSY breaking dominated by the moduli fieldMixed modulus-AMSB (KKLT construction)Extra-dimensional SUSY GUT models where SUSY breaking is communicated from the SUSY breaking brane to the visible brane via gaugino mediation (e.g. Dermisek-Mafi model)

Baer, Mustafayev,Park,Profumo,Tata'05

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Non-universal gaugino masses: low value of fine tuning

King, Roberts, Roy'07

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Dark Matter motivated SUSY signatures at the LHC Oxford, 21/10/2008

One more example of complementarity of Direct dark matter search

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Xenon-10 excludes “Egret” mSUGRA point!

mSUGRA

NUHM2 is not excluded!

50-70 GeV neutralino provides a good fitm

0= 1400 GeV

m1/2

= 180 GeV

tan = 0.5 m0

are suggested

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Xenon-10 excludes “Egret” mSUGRA point!

mSUGRA

NUHM2 is not excluded!

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Collider signatures for NUHM2 model within light neutralino (50-70 GeV) scenario

nleptons

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Collider signatures: distinguishing NUHM2 and mSUGRAwithin light neutralino (50-70 GeV) scenario

Baer, A.B., Summy

NUHM2

Mll(GeV) M

ll(GeV)

mSUGRA

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ConclusionsSUSY is very compelling theory

CDM constraints are crucial

LHC: covers funnel region and stau-coannihilation region,

but only low part of FP/HB is covered

ILC: greatly extends LHC reach in FP/HB

Extention of LHC reach in FP region could be crucial for ILC fate,

2 .4 TeV gluino mass is (indirectly) accessible with new analysis!

direct/indirect DM search experiments: high degree of complementarity to

LHC/ILC

combined constraints: mSUGRA is practically excluded!

one step beyond the universality opens parameter space and new signatures:

NMH, NUMH, non-universal gauginos motivated by SUSY GUTS

Present constraints/data, especially CDM, give a good idea how SUSY

should look like at the LHC and DM search experiments.

Road is open to finally hunt down EW scale Supersymmetry!

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The Nature of Electroweak Symmetry

Breaking

The origin ofDark Matter

and Dark Energy

The origin ofmatter/anti-matter

asymmetry

The problem of hierarchy, fine-tuning, unification with gravity

What do we expect from the LHC?

Underlying Theory

+ +?

+?+?

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Appendix

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Sparticle reach of LHC for 100 fb−1

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Sparticle reach of LHC various luminosities

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ILC FP/HB studyBaer, A.B.,Krupovnickas,Tata