Constraining R -parity-violating couplings in τ -processes at the LHC and in electroweak precision measurements

Abstract

We find new limits on the nine ${\ensuremath{\lambda}}_{3jk}^{\ensuremath{'}}$ $R$-parity violating couplings of the minimal supersymmetric standard model, using Drell-Yan differential cross sections at the LHC and electroweak precision measurements from LEP and SLC. Specifically, limits on six of the nine ${\ensuremath{\lambda}}_{3jk}^{\ensuremath{'}}$-couplings, with $j=1$ or 2, are obtained using Drell-Yan data, providing the strongest bounds on three of these couplings. Four of the nine couplings are currently best constrained by electroweak data, which we reexamine here using a specifically lepton flavor-violating observable. The remaining two couplings are best constrained due to their contributions to neutrino masses, a bound which we update here. We also update previous limits on all ${\ensuremath{\lambda}}_{ijk}^{\ensuremath{'}}$-couplings using both electroweak data and neutrino mass bounds. A table of all current bounds on ${\ensuremath{\lambda}}_{ijk}^{\ensuremath{'}}$ is given in the Appendix.