Obstacles to extending R-parity violation to Supersymmetric SU(5)

TL;DR

This paper investigates the challenges of extending bilinear R-parity violation from the minimal supersymmetric standard model to a supersymmetric SU(5) grand unified theory, highlighting constraints from proton decay and neutrino mass.

Contribution

It demonstrates that proton decay and neutrino mass constraints severely limit R-parity violation in SU(5), revealing unresolved doublet-triplet issues and the inability to fix fermion mass ratios.

Findings

Proton decay and neutrino mass constraints are very restrictive.

R-parity violation cannot resolve the doublet-triplet problem in SU(5).

Fermion mass ratio corrections via R-parity violation are not feasible.

Abstract

We explore the consequences of promoting bilinear R-parity violation, usually formulated in the minimal supersymmetric standard model framework, to a supersymmetric SU(5) grand unified theory. We observe that the limits on proton decay and neutrino mass place tight constraints on the bilinear SU(5) R-parity violating parameters creating a different doublet-triplet issue which cannot be resolved by an extension of the usual fine-tuning in the symmetry breaking scalar sector. If the parameters are made to satisfy the constraints, albeit unnaturally, there remains no room for the possibility to correct the SU(5) fermion mass ratios by introducing R-parity violation.