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in the R-parity violating SUSY model

in the R-parity violating SUSY model. at hadron colliders. 张仁友 中国科学技术大学. l ’. l. Theoretical Motivation. SUSY new parity. R=(-1) 2S+L+3B. partially R-parity violation (RPV) i.e. non-simultaneous L and B violation in general super-potential. Phenomenology:

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in the R-parity violating SUSY model

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  1. in the R-parity violating SUSY model at hadron colliders 张仁友 中国科学技术大学

  2. l’ l Theoretical Motivation SUSY new parity R=(-1)2S+L+3B partially R-parity violation (RPV) i.e. non-simultaneous L and B violation in general super-potential Phenomenology: + neutrino-oscillation + stable Proton + scalar sneutrino resonance production and LFV decay

  3. LFV process @Tevatron/LHC: sneutrino contribution (s-channel) squark contribution (u-,t-channel) --- s-channel decouple with u-channel --- sneutrino resonance effect in em can be experimentally detected

  4. Two decoupled contributions of sneutrino and squark:

  5. CompHep + Pythia Why need NLO QCD corrections? --- Not back-to-back! df of em inclusive --- Large luminosity at the LHC glupn-gluon fusion subprocess! --- the QCD correction is quite significant in the high PT region! kinematic cuts:

  6. Contributions up to O(as) NLO 1.The Leading Order cross section 2. Virtual O(as) one-loop corrections 3. Real gluon emission corrections 4. Real light-quark emission corrections 5. Higer order gluon-gluon fusion contribution

  7. Numerical result Inputs:

  8. -- K-factor vs sneutrino mass at Tevatron and LHC 1.28~1.79 Tevatron 1.32~1.58 LHC

  9. -- Distribution of the transverse momentum of positron

  10. CompHep + Pythia NLO QCD correction df of em inclusive

  11. -- gluon fusion contribution <1% Large luminosity of soft gluon will contribute to low mass region

  12. -- Distribution of the electron-muon invariant mass a high threshold cut on electron-muon invariant mass !

  13. In order to simplify calculation, we take following assumptions: • The first two generations of sneutrino are much heavier than the third one. • Applying a high threshold cut on electron-muon invariant mass. • (50 GeV) • Applying the naive fixed-width scheme in the sneutrino propagator. • (10 GeV) 4. Setting decoupled squark and gluino section. (1 TeV !)

  14. In our investigating parameter space the K-factors vary in the ranges of [1.182,1.643] and [1.335,1.614] at the Tevatron and the LHC, respectively.

  15. Uncertainty investigation

  16. The relative error of K-factor induced by the factorization scale: 0.17%(3.1%) 100 GeV 1.8% (1.3%) 250 GeV 3.0%(0.46%) 500 GeV The relative error of K-factor induced by the PDF: 6.0% (5.8%) 100 GeV 7.8% (5.0%) 250 GeV 14.2%(5.9%) 500 GeV

  17. -- qT distribution

  18. Conclusions 1. K-factor to be 1.2 ~ 1.8 at Tevatron and LHC; the main uncertainty comes from pdf. 2. High order gluon fusion should be accounted @LHC. 3. The distribution of the transverse momentum of final e-muon pair by resummating the logarithmically-enhanced terms for soft gluon can be a reference for future experimental analysis.

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