The Precise Test Of The R-parity Violating Supersymmetric Model At The Hardon Colliders

Until now, the Standard Model(SM) of particle physics has been proved to be very successful as a description of high energy physical phenomena. Although its predic-tions have been coincident with the existing data in high precision, it is regarded as an effective theory describing particle physics up to (?)(102)GeV. Many experiments were proposed in the past to probe signals of new physics, and at the same time new theo-retical models were developed to extend the SM. Among all the extensions of the SM, the Minimal Supersymmetric Standard Model (MSSM) is one of the most promising candidates due to its elegant symmetry and physical connotation. It is believed that supersymmetric(SUSY) particles must be discovered at the CERN Large Hadron Col-lider(LHC).In the SM the baryon number B and lepton number L are exactly conserved quan-tum numbers. However, the general R-parity violating(RPV) supersymmetric models permit an eμsignature of lepton flavor violating(LFV) production in the final state. The rare production of eμ-pair at the hadron colliders could be an ideal detection channel for RPV interactions and an effective mean to measure some SUSY parameters precisely.We suggest not to distinguish the charge of electron or muon in event selection to get optimal efficiency of signal detection. High-precision theoretical predictions com-patible with experimental measuring accuracy for both signals and backgrounds are important and indispensable as reference for experiments, so we should take account in the high order corrections to their production cross sections and theoretical uncer-tainties. We present a precise calculation of the QCD corrections to the LFV processes pp/pp→eμ+X at the hadron colliders, including the contributions of the NLO QCD and gluon-gluon fusion subprocess, and a corresponding QCD K-factor for the process. We find that the K-factor has a sensible difference from the K-factor for the processes pp/pp→ν+X. At the hadron colliders, the selection of the renormalization and fac-torization scales and the precise knowledge of the parton distribution functions(PDF) are important to predict production cross sections of both signals and backgrounds. We carefully investigate the dependence of the renormalization and factorization scales on the total cross section, and the effects on the K-factor due to the uncertainty of PDF. We find that the uncertainty of PDFs is a dominant part of the overall uncertainties in our theoretical prediction. When the transverse momentum is very small, large logarithmic terms arise at fixed order perturbation calculations, so we could obtain an arbitrarily large cross section. We need resummating the logarithmically-enhanced terms for soft gluon to get a physical result. We also present the distributions of some physical ob-servables, and the distribution of the transverse momentum(pT) of final eμ-pair under the Collins-Soper-Sterman(CSS) resummation formalism.There are following innovations in this thesis:·Our investigation has a close combination of theoretical analysis and experiments. We calculate the theoretical predictions at the request of experiments, and our results could be apllied directly in experimental analysis. They are helpful for the expriments at the hadron colliders to search for eμsignals of RPV production. Our studies were reported by "Fermilab Today"[1]:"Theorists at USTC hypothesized that single heavy sneutrino particles production was possible at the Tevatron in a particular model.... These particles could then decay to an electron and a muon, which would implicitly violate lepton flavor conservation and act as a smoking gun for new physics."·In this thesis, we calculate the production cross sections of eμ-pair in the frame-work of the RPV SUSY model at the hadron colliders, including the contributions of the NLO QCD and gluon-gluon fusion subprocess. Our results are the most precise theoretical predictions for the RPV processes pp/pp→eμ+X so far, and could be a useful theoretical reference for experimental analysis.·In this thesis, we calculate the distribution of the transverse momentum of final eμ-pair, including important contributions at low-pT region from large logrithms arising from soft gluon emission, and by resummating these large logrithms we present the most accurate description for the the distribution of the transverse mo-mentum of the eμ-pair. Our results could be a helpful reference for experimental analysis.·In this thesis, we present the QCD K-factor for the LFV processes pp/pp→eμ+X and investigate the effects on the K-factor due to the selection of the scales and the uncertainty of PDF. D(?) Collaboration applied our results as a theoretical reference in their search for R-parity violating production and decay of sneutrino particles in the eμfinal state[2].