Signals of Supercritical String Theory at the LHC B. Dutta, A. Gurrola, T. 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) The 15th International Conference on Supersymmetry and the Unification of Fundamental Interactions Karlsruhe, Germany July 3, 27 July 26 - August 1, 27 Signals of Supercritical String Theory at the LHC 1
Prologue Outline Supersymmetric Access to Cosmology at the LHC Dark Matter Connection Stau-Neutralino Co-annihilation σ CDM Dark Energy Connection Supercritical String Cosmology (SSC) σ CDM(SSC) Key Signals at the LHC Co-annihilation region vs. SSC Mass? Summary July 3, 27 Signals of Supercritical String Theory at the LHC 2
Thinking of Cosmological Connection July 3, 27 Signals of Supercritical String Theory at the LHC 3
Anatomy of σcdm ( Ω ) CDM + 1 χ ~ 1 τ ~ 1 Co-annihilation Process Co-annihilation Process Griest, Seckel 91 2 +. ΔM / e 2 2 +. ΔM M ~ M ~ τ 1 χ 1 Use msugra as a benchmark model July 3, 27 Signals of Supercritical String Theory at the LHC 4
Dark Matter Allowed Region Co-annihilation Region Co-annihilation Region Δ M = 5 ~ 15 GeV July 3, 27 Signals of Supercritical String Theory at the LHC 5
msugra Case Study at tanβ = 4 g~ m 1/2 = 36, m = 215, tanβ = 4, m top = 175 (LCC3 Point) u ~ L u χ~2 χ~1 97% 1% e ~ R τ ~ 1 τ ± χ~1 July 3, 27 Signals of Supercritical String Theory at the LHC 6
Signal in Co-annihilation Region B ~97% p Tτ > 2 GeV is essential! July 3, 27 Signals of Supercritical String Theory at the LHC 7
However, there Prologue is a another story July 3, 27 Signals of Supercritical String Theory at the LHC 8
LMD Scenario Critical term Non-critical term July 3, 27 Signals of Supercritical String Theory at the LHC 9
Translating to Particle Physics hep-ph/612152 July 3, 27 Signals of Supercritical String Theory at the LHC 1
SSC Case Study at tanβ = 4 hep-ph/612152 Let s look into signals in the region July 3, 27 Signals of Supercritical String Theory at the LHC 11
g~ Co-annihilation region Co-annihilation region m 1/2 =36, m =215, tanβ=4, m top =175 (Arnowitt-Dutta-Kamon Ref. Point) u u ~ L g~ Supercritical String Supercritical String m 1/2 =4, m =471, tanβ=4, m top =172.7 (LMN Ref. Point) u ~ L 958 974 u χ~2 χ~1 97% 1% e ~ R τ ~ 1 τ ± χ~1 July 3, 27 Signals of Supercritical String Theory at the LHC 12 χ~1 χ~2 39 16 15% Z 91 e ~ R 495 τ ~ 1 387 ± χ~1 39
χ 2 Decay Branching Ratios Identify and classify χ 2 decays July 3, 27 Signals of Supercritical String Theory at the LHC 13
Key Reactions at the LHC Co-annihilation region Co-annihilation region Supercritical String Supercritical String Z (or h) Z (or h) Check M(llj) and M(bbj) July 3, 27 Signals of Supercritical String Theory at the LHC 14
m 1/2 =4, m =471, tanβ=4, m top =172.7 (LMN Ref. Point) g~ 958 u u ~ L 974 End u ~ L Point u ~ χ u Z ~ of 2 χ1 M( u + Z) M( u ~ ) M( ~ L χ 1 ) MC Truth MC Truth M(u+Z) [GeV] χ~1 χ~2 39 16 15% Z 91 e ~ R 495 τ ~ 1 387 ± χ~1 39 M(u+Z) [GeV] m 1/2 [GeV] Repeating for χ 2 decay to Higgs July 3, 27 Signals of Supercritical String Theory at the LHC 15
E miss T + 2j + 2 ~χ 2 + 2j + 2τ Analysis Path Cuts to reduce the SM backgrounds (W+jets, ) E T miss > 2 GeV, N(jet) > 2 with E T > 1 GeV E T miss + E T j1 + E T j2 > 6 GeV; N(lepton) > 2 with P T > 2 GeV CATEGORIZE opposite sign (OS) dileptons OS ee, μμ Low mass (M 2 ) histogram High mass (M 1 ) histogram OS eμ Low mass (M 2 ) histogram High mass (M 1 ) histogram Low OSSF High OSSF Low OSSF OSOF High OSSF OSOF Low OSOF High OSOF July 3, 27 Signals of Supercritical String Theory at the LHC 16
Anatomy : Mass Distributions m 1/2 =4, m =471, tanβ=4 78 fb 1 ~8 GeV M 1 (llj) [GeV] M 2 (llj) [GeV] e.g., ~ g~ { tt1 { tt ~ χ ~ 2 { tt Zχ1 34% u ~ L 12% 17% u ~ χ u Z ~ 2 χ 1 Mass determination & higgs channel Work in in progress July 3, 27 Signals of Supercritical String Theory at the LHC 17
Summary Cosmology Dark Matter and Dark Energy Supercritical-String-Cosmology (SSC) Scalar Field Dark Energy Smoothly evolving DE for 1 B years Translating to Particle Physics : σ CDM(SSC) ~ σ CDM /1 Implication at the LHC SUSY masses will be heavier than those in co-annihilation region Simultaneous searches for χ 2 decays to h and Z Measurement of Ω CDM Work in progress July 3, 27 Signals of Supercritical String Theory at the LHC 18
Backups July 3, 27 Signals of Supercritical String Theory at the LHC 19