July 30, 2007 Signals of Supercritical String Theory at the LHC 1

Signals of Supercritical Signals of Supercritical String Theory at the LHCString Theory at the LHC

B. Dutta, A. Gurrola, T. KamonT. Kamon, A. Krislock, D. Nanopoulos(Texas A&M University)

A.B. Lahanas (University of Athens)

N.E. Mavromatos (King's College London, University of London)

July 30, 2007 1

The 15th International Conference on Supersymmetry and the Unification of Fundamental Interactions

Karlsruhe, Germany July 26 - August 1, 2007

July 30, 2007 Signals of Supercritical String Theory at the LHC 2

ProloguePrologue

July 30, 2007 Signals of Supercritical String Theory at the LHC 2

OutlineOutline

Supersymmetric Access to Cosmology at the LHCDark Matter Connection

Stau-Neutralino Co-annihilation σCDM

Dark Energy ConnectionSupercritical String Cosmology (SSC) σCDM(SSC)

Key Signals at the LHCCo-annihilation region vs. SSCMass?

Summary

July 30, 2007 Signals of Supercritical String Theory at the LHC 3

Thinking of Cosmological ConnectionThinking of Cosmological Connection

July 30, 2007 Signals of Supercritical String Theory at the LHC 3

July 30, 2007 Signals of Supercritical String Theory at the LHC 4

( )

2

1CDM

⎥⎥⎥⎥⎥⎥

⎦

⎤

⎢⎢⎢⎢⎢⎢

⎣

⎡

∝−Ω

20Δ

2

/Me −

⎥⎥⎥⎥⎥⎥

⎦

⎤

⎢⎢⎢⎢⎢⎢

⎣

⎡01χ~

1τ~+

011 ~~ MMM

χτ −≡Δ

Use mSUGRA as a benchmark model

+ ….

+ ….

Anatomy of Anatomy of σσ CDMCDM

Co-annihilation ProcessCo-annihilation Process

Griest, Seckel ’91

July 30, 2007 Signals of Supercritical String Theory at the LHC 5

Dark Matter Allowed RegionDark Matter Allowed Region

July 30, 2007 Signals of Supercritical String Theory at the LHC 5

GeV 15~5Δ =M

Co-annihilation RegionCo-annihilation Region

July 30, 2007 Signals of Supercritical String Theory at the LHC 6

(LCC3 Point)m1/2 = 360, m0 = 215, tanβ = 40, mtop = 175

mSUGRAmSUGRA

Case Study atCase Study at tantanββ = 40= 40

1τ~τ

τ

Lu~

01χ~

02χ~

g~

100%

97%

±1χ~Re~

u

July 30, 2007 Signals of Supercritical String Theory at the LHC 7July 30, 2007 Signals of Supercritical String Theory at the LHC 7

Signal in CoSignal in Co--annihilation Regionannihilation Region

B ~97%

pTτ > 20 GeV

is essential!

July 30, 2007 Signals of Supercritical String Theory at the LHC 8

ProloguePrologueHowever, there is a another story However, there is a another story ……

July 30, 2007 Signals of Supercritical String Theory at the LHC 8

July 30, 2007 Signals of Supercritical String Theory at the LHC 9July 30, 2007 Signals of Supercritical String Theory at the LHC 9

LMD Scenario

Criti

cal t

ermN

on-cr

itica

l term

July 30, 2007 Signals of Supercritical String Theory at the LHC 10

Translating to Particle PhysicsTranslating to Particle Physics

July 30, 2007 Signals of Supercritical String Theory at the LHC 10

hep-ph/0612152

July 30, 2007 Signals of Supercritical String Theory at the LHC 11

SSC Case Study atSSC Case Study at tantanββ = 40= 40

hep-ph/0612152

Let’s look into signals in the region

July 30, 2007 Signals of Supercritical String Theory at the LHC 12

1τ~τ

τ

Lu~

01χ~

02χ~

g~

100%

97%

±1χ~

(Arnowitt-Dutta-Kamon Ref. Point)m1/2 =360, m0 =215, tanβ=40, mtop =175

Re~

u

1τ~

Lu~

01χ~

02χ~

g~

Z

±1χ~

(LMN Ref. Point)m1/2 =400, m0 =471, tanβ=40, mtop =172.7

Re~

u

15%

958 974

495

387

160

309

91

309

Co-annihilation regionCo-annihilation region Supercritical StringSupercritical String

July 30, 2007 Signals of Supercritical String Theory at the LHC 13

χχ22

00

DecayDecay

Branching RatiosBranching Ratios

Identify and classify χ20 decays

July 30, 2007 Signals of Supercritical String Theory at the LHC 14

Key Reactions at the LHCKey Reactions at the LHC

July 30, 2007 Signals of Supercritical String Theory at the LHC 14

Check M(ℓℓj)

and M(bbj)

Co-annihilation regionCo-annihilation region

Z (or h)

Z (or h)

Supercritical StringSupercritical String

July 30, 2007 Signals of Supercritical String Theory at the LHC 15

1τ~

Lu~

01χ~

02χ~

g~

Z

(LMN Ref. Point)

±1χ~

m1/2 =400, m0 =471, tanβ=40, mtop =172.7

Re~

u

15%

958974

495

387

160

309

91

309

01

02 χχ ~Zu~uu~L →→

)()()( ofPoint End 01χ~Mu~MZuM L −≈+

M(u

+Z) [

GeV

]

M(u+Z) [GeV]

m1/2

[GeV]

Repeating forχ2

0

decay

to Higgs

MC TruthMC Truth

July 30, 2007 Signals of Supercritical String Theory at the LHC 16

OS

ee, μμ

Low mass

(M2

) histogram

High mass

(M1

) histogram

02

~χEETT

missmiss

+ 2j + 2+ 2j + 2ττ Analysis PathAnalysis PathCuts to reduce the SM backgrounds (W+jets, …)

ETmiss

> 200 GeV, N(jet) >

2 with ET

> 100 GeV

ETmiss

+ ETj1

+ ETj2

> 600 GeV; N(lepton) >

2 with PT

> 20 GeV

Low OSSF−OSOF

High OSSF−OSOF

Low OSOF

High OSOF

Low OSSF

High OSSF

OS

eμ

Low mass

(M2

) histogram

High mass (M1

)

histogram

CATEGORIZE opposite sign (OS) dileptons

July 30, 2007 Signals of Supercritical String Theory at the LHC 17

Anatomy : Mass DistributionsAnatomy : Mass Distributionsm1/2 =400, m0 =471, tanβ=40

78 fb−1

~800 GeV

01

02 χχ ~Zu~uu~L →→

{ { {01

17

02

121

34

χχ ~Ztt~ttt~tg~%%%

→→→e.g.,

M1

(ℓℓj) [GeV] M2

(ℓℓj) [GeV]

Mass determination& higgs channel… Work in progress

Mass determination& higgs channel… Work in progress

July 30, 2007 Signals of Supercritical String Theory at the LHC 18

SummarySummary

July 30, 2007 Signals of Supercritical String Theory at the LHC 18

Cosmology … Dark Matter and Dark Energy

Supercritical-String-Cosmology (SSC) Scalar Field Dark Energy

… Smoothly evolving DE for 10 B yearsTranslating to Particle Physics :

σCDM(SSC) ~ σCDM /10

Implication at the LHCSUSY masses will be heavier than

those in co-annihilation regionSimultaneous searches for χ2

0 decays to h and Z

Measurement of ΩCDM … Work in progress

July 30, 2007 Signals of Supercritical String Theory at the LHC 19

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