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

## TL;DR

This paper establishes new experimental bounds on certain R-parity violating couplings in the minimal supersymmetric standard model by analyzing LHC Drell-Yan data and electroweak precision measurements, improving previous limits.

## Contribution

It provides updated and stronger bounds on all $oldsymbol{ ext{lambda}'}_{ijk}$ couplings, combining LHC and electroweak data, with new limits on $oldsymbol{ ext{lambda}'}_{132}$ and $oldsymbol{ ext{lambda}'}_{232}$.

## Key findings

- New bounds on six $ ext{lambda}'_{3jk}$ couplings from LHC data.
- Updated limits on all $ ext{lambda}'_{ijk}$ couplings from electroweak data.
- Stronger bounds on $ ext{lambda}'_{132}$ and $ ext{lambda}'_{232}$ than previous studies.

## Abstract

We find new limits on the $\lambda'_{3jk}$ 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 $\lambda'_{3jk}$-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 $\lambda'_{ijk}$-couplings using electroweak data and find new bounds on $\lambda'_{132}$ and $\lambda'_{232}$ that are stronger than obtained elsewhere. A table of all current bounds on $\lambda'_{ijk}$ is given in an appendix.