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

Signals of Signals of Supercritical String Supercritical String Theory at the LHCTheory 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 InteractionsKarlsruhe, 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 CDM

Dark Energy ConnectionSupercritical String Cosmology (SSC) CDM(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 Thinking of Cosmological ConnectionConnection

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

20Δ

2

/Me

01~

1~+

011

~~ MMM Δ

Use mSUGRA as a benchmark model

+ ….

+ ….

Anatomy of Anatomy of CDMCDM

Co-annihilation Process

Co-annihilation ProcessGriest, 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 GeV 15~5Δ M

Co-annihilation Region

Co-annihilation Region

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

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

mSUGRA Case Study atmSUGRA Case Study at tan tan = 40= 40

1~

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 Co-annihilation Signal in Co-annihilation RegionRegion

B ~97%

pT > 20 GeV is essential!

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

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

Cri

tica

l te

rmN

on-c

riti

cal te

rm

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

Translating to Particle Translating to Particle PhysicsPhysics

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 tan tan = 40= 40hep-ph/0612152

Let’s look into signals in the region

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

1~

Lu~

01χ~

02χ~

g~

100%

97%

1χ~

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

Re~

u

1~

Lu~

01χ~

02χ~

g~

Z

1χ~

(LMN Ref. Point)m1/2=400, m0=471, tan=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

2200 Decay Decay Branching RatiosBranching Ratios

Identify and classify 20 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

1~

Lu~

01χ~

02χ~

g~

Z

(LMN Ref. Point)

1χ~

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

Re~

u

15%

958974

495

387

160

309

91

309

01

02 ~Zu~uu~L

)()()( ofPoint End 01~Mu~MZuM L

M(u

+Z

) [G

eV]

M(u+Z) [GeV]

m1/2 [GeV]

Repeating for2

0 decay to Higgs

MC TruthMC Truth

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

OS ee,

Low mass (M2) histogram

High mass (M1) histogram

02

~EETTmissmiss + 2j + 2 + 2j + 2 Analysis Path Analysis Path

Cuts to reduce the SM backgrounds (W+jets, …)

ETmiss > 200 GeV, N(jet) > 2 with ET > 100 GeV

ETmiss + ET

j1 + ETj2 > 600 GeV; N(lepton) > 2 with PT > 20 GeV

Low OSSFOSOF

High OSSFOSOF

Low OSOF

High OSOF

Low OSSF

High OSSF

OS e

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 Anatomy : Mass DistributionsDistributionsm1/2=400, m0=471, tan=40

78 fb1

~800 GeV

01

02 ~Zu~uu~L

01

17

02

121

34

~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 :

CDM(SSC) ~ CDM /10

Implication at the LHCSUSY masses will be heavier than

those in co-annihilation region

Simultaneous searches for 20 decays to h

and Z

Measurement of CDM … Work in progress

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

Backups