Probing Lepton Flavor Violation Signal Induced by R-violating Minimal Supersymmetric Standard Model at a Linear Collider

The lepton-flavor violation (LFV) effect at an $e^+e^-$ linear collider (LC),in the frame of R-parity violating minimal supersymmetric standard model isstudied. We take the R-parity violating processes $e^+e^-\to e^{\mp}\mu^{\pm}$as signal, and define the summation of the two processes as ``experiment''observable. We find that the cross-section summation can reach$\cal{O}$$(10^1)fb$ in the parameter space without sneutrino resonanceeffect($\sqrt{s} \sim m_{\tilde{\nu}}$). The summation treatment manifestsuniform differential distribution on $\cos\theta$, where $\theta$ denotes thepolar angles of both outgoing $e^+/e^-$ respectively to incoming electron beamin two signal processes. The uniform feature together with $e\mu$ collinearitywould help to reduce the SM background dramatically. Consequently we concludethat at a $500 GeV$ LC with $480 fb^{-1}$ annual luminosity, it's eitherpossible to detect the distinctive R-violating LFV $e\mu$ signal, or excludesneutrino to $m_{\tilde{\nu}}>1.1 TeV$ at 95% CL in the machine's biennialruntime interval.Comment: 14 pages, 9 figure