R-parity violation and CP-violating and CP-conserving spin asymmetries in l^+ l^- -> sneutrino -> tau^+ tau^-: probing sneutrino mixing at LEP2, NLC and mu^+mu^- colliders

Abstract

We consider the sneutrino resonance reaction l^+ l^- -> sneutrino -> tau^+ tau^- in the MSSM without R-parity. We introduce new CP-violating and CP-conserving tau-spin asymmetries which are generated already at the tree-level if there is sneutrino - sneutrino-bar mixing and that are forbidden in the SM. It is remarkable that these spin asymmetries can reach ~75% around resonance for a sneutrino mass splitting of \Delta m ~ \Gamma and ~10% for a splitting as low as \Delta m ~ 0.1\Gamma, where \Gamma is the sneutrino width. We show that they are easily detectable already at LEP2 so long as the beam energy is within ~10 GeV range around the muon-sneutrino masses and may therefore serve as extremely powerful probes of sneutrino mixing phenomena.