The Fate of R-Parity

TL;DR

This paper explores how R-parity, a symmetry in supersymmetric models, is likely spontaneously broken at low energies, suggesting potential observable R-parity violating processes at the LHC if supersymmetry exists.

Contribution

It investigates the origin of R-parity violation within the minimal supersymmetric standard model and links it to the radiative symmetry breaking mechanism, showing spontaneous breaking in most parameter space.

Findings

R-parity is spontaneously broken at low-scale in most parameter regions.

R-parity violating processes could be observable at the LHC.

The connection between R-parity violation and radiative symmetry breaking is established.

Abstract

The possible origin of the R-parity violating interactions in the minimal supersymmetric standard model and its connection to the radiative symmetry breaking mechanism (RSBM) is investigated. In the context of the simplest model where the implementation of the RSBM is possible, we find that in the majority of the parameter space R-parity is spontaneously broken at the low-scale. These results hint at the possibility that R-parity violating processes will be observed at the Large Hadron Collider, if Supersymmetry is realized in nature.