R-parity violation in SU(5)

TL;DR

This paper demonstrates that specific R-parity violating terms in minimal supersymmetric SU(5) can fix mass relation issues and accommodate neutrino masses, predicting large electron-Higgsino mixing potentially testable in future experiments.

Contribution

It introduces a way to correct mass relations and include neutrino masses in minimal supersymmetric SU(5) via R-parity violation, with testable predictions.

Findings

Corrects down quark and charged lepton mass relations

Accommodates neutrino masses within the model

Predicts large electron-Higgsino mixing

Abstract

We show that judiciously chosen R-parity violating terms in the minimal renormalizable supersymmetric SU(5) are able to correct all the phenomenologically wrong mass relations between down quarks and charged leptons. The model can accommodate neutrino masses as well. One of the most striking consequences is a large mixing between the electron and the Higgsino. We show that this can still be in accord with data in some regions of the parameter space and possibly falsified in future experiments.