Constraining R-parity-violating couplings in $\tau$-processes at the LHC and in electroweak precision measurements

Abstract

We find new limits on the ${\lambda }_{3jk}^{\prime }$ R-parity violating (RPV) 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 out of the nine ${\lambda }_{3jk}^{\prime }$-couplings, with $j=1\text{ or }2$, are obtained using Drell-Yan data, with the remaining three (for $j=3$) bounded by precision electroweak data. We also update the limits on all ${\lambda }_{ijk}^{\prime }$-couplings using electroweak data and find new bounds on ${\lambda }_{132}^{\prime }$ and ${\lambda }_{232}^{\prime }$ that are stronger than obtained elsewhere. A table of all current bounds on ${\lambda }_{ijk}^{\prime }$ is given in an appendix.

9 pages, 3 figures, 3 tables