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最新結果 ~理論から~ Junji Hisano (Eken) タウレプトンセンター報告会 2011/03/10 内容 • 暗黒物質の物理 1. 暗黒物質直接探索 • フレーバーの物理 1. 超対称模型におけるμ-e遷移過程 2. 真空の安定性からくる超対称模型における tanβの上限 3. その他 暗黒物質直接探索 WIMP-nucleus elastic scattering nucleus WIMP • Ions • Heat • Scintillation • DM local density: ρDM =~0.3GeV/c2/cm3 • Spherical isothermal halo: vDM~vsun~230km/sec Recoil energy ~vDM2 MT~O(10) keV. • Interaction of WIMP and nucleus Spin-independent (SI) and spin-dependent (SD) Event rate is proportional to A3 (SI) or J(J+1) (SD) Almost experiments are sensitive to SI interaction. From ICEHP10 (Talk by Gascon) CDMS-II have two signal and EDELWEISS-II have four events in signal region. Expected BG=0.8 Expected BG<1.6 Evaluation of neutralino-nucleon interaction Effective interaction of neutralino to light quarks/gluon: (Drees & Nojiri) Effective SI interaction of Neutralino to nucleon: Evaluation of WIMP-nucleon interaction Effective interaction of Neutralino to light quarks/gluon: Matrix elements From latest lattice results, Effective SI interaction of Neutralino to nucleon: Evaluation of WIMP-nucleon interaction Effective interaction of Neutralino to light quarks/gluon: Twist-2 operators for gluon and quarks Matrix elements are given by parton-distribution func. Effective SI interaction of Neutralino to nucleon: Neutralino in MSSM Effective interaction of Neutralino to light quarks/gluon: • Higgs exchange • squark exchange q: light quarks (u,d,s) Q:heavy quarks (c,b,t) More precise evaluation of cross section In diagram (b), dominant contribution comes from quark momentum around squark or neutralino mass. On the other hand, in (d), it is around quark mass. Here, cQ is higher order correction, More precise evaluation of cross section Effective neutralino-nucleon SI coupling (pure bino limit) Twist-2 Gluon In the MSSM, the SI cross section may be corrected up to O(10)%. (JH, Ishiwata, and Nagata) Electroweak-interacting massive particles Dark matter particles have only electroweak gauge interactions. Wino and Higgsino in SUSY SM are such examples. Elastic scattering is induced by loop processes. The cross section is only suppressed by weak gauge/Higgs boson masses, not DM mass. q: light quarks (u,d,s) Q:heavy quarks (c,b,t) Electroweak-interacting massive particles We evaluate all relevant diagrams and also correct mistakes in previous calculations. We find that accidental cancellation suppresses the cross sections, especially when Higgs mass is light. (JH, Ishiwata, and Nagata) (JH, Ishiwata, Nagata and Takesako in preparation) Vector dark matter Universal extra dimension (UED) models and Littlest Higgs model with T parity predict that a vector particle, which is a partner of photon in SM, is stable and dark matter candidate. In UED models the Kaluza-Klein (KK) quark masses are degenerate with KK photon, which is DM candidate. Then, the twist-two operator contribution can dominate over other contributions. SI cross section in UED UED model (5D) predicts 10^-45 to10^-46 cm^2. (JH, Ishiwata, Nagata and Yamanaka) フレーバーの物理 超対称模型におけるμ-e遷移過程 SUSY Flavor Problem Introduction of SUSY breaking leads to new flavor violation, which induces leptonic and hadronic flavor-changing processes. Slepton mass matrix lepton mass matrix SUSY breaking When sleptons have off-diagonal terms in mass matrix, Here, 18 LFV in decoupling case When SUSY particle masses are larger than O(1-10) TeV, SUSY contributions to flavor changing processes are suppressed below the experimental bounds even if squark and slepton mixings are not small. Even in this case, the Higgs exchange contributes to LFV processes, since SUSY SM has two doublet Higgs bosons. LFV Higgs coupling is generated after integrating SUSY particle at one-loop. Tree One-loop μ→eγ (Babu & Kolda) μ-e conversion in nuclei LFV in decoupling case Ratio between Higgs exchange and SUSY 1 loop contributions in μ→eγ SUSY 1 loop Higgs exchange (Hisano et al, 10) Both contributions are almost proportional to tanβ in amplitude. When SUSY/MA~(40-50), they are comparable. LFV in decoupling case Higgs exchange contribution v.s. SUSY 1 loop contribution (JH, Yang, Sugiyama, Yamanaka) μ-e conversion in nuclei and μ→eγ have different sensitivities of mass spectrum and tanβ. LFV in decoupling case We may derive mass spectrum from ratio of branching ratios. (Hisano et al, 10) 真空の安定性からくる超対称模型 におけるtanβの上限 Vacuum stability tanβ(=vu/vd) is an important parameter in SUSY phenomenology. When tanβ is quite large, the charge breaking vacuum becomes true vacuum since the off-diagonal term in the stau mass matrix is large. Here, Stability of charge conserving vacuum imposes upperbound on tanβ. Acceptable metastable vacuum If lifetime of the charge-conserving vacuum is longer than age of the universe, the vacuum is acceptable. We estimate the lifetime by evaluating the bounce solution numerically. (JH and Sugiyama) Upperbound on μ tanβ Metastable condition Global minimum condition An application: minimal gauge mediation The minimal gauge mediation model predicts large tanβ, especially when the messenger scale is low (~10^5GeV). Thus, the metastability condition exclude a part of the parameter region Prediction of MGM. Stau is tachyon. Life longer than age of universe. Charge-conserving vacuum is Global min. Stau mass >87.4GeV