Towards Minimal SU(5)

TL;DR

This paper introduces a minimal SU(5) grand unified model that links neutrino masses to charged lepton and down quark mass differences, with testable predictions for collider and proton decay experiments.

Contribution

It presents a simple SU(5) model connecting neutrino mass mechanisms to fermion mass disparities, with all parameters fixed by unification and experimental constraints.

Findings

Predicts one massless neutrino

Identifies multiplet scales accessible at colliders

Correlates proton decay signatures with model parameters

Abstract

We propose a simple $SU(5)$ model that connects the neutrino mass generation mechanism to the observed disparity between the masses of charged leptons and down-type quarks. The model is built out of $5$-, $10$-, $15$-, $24$-, and $35$-dimensional representations of $SU(5)$ and comprises two (three) $3 \times 3$ ($3 \times 1$) Yukawa coupling matrices to accommodate all experimentally measured fermion masses and mixing parameters. The gauge coupling unification considerations, coupled with phenomenological constraints inferred from experiments that probe neutrino masses and mixing parameters and/or look for proton decay, fix all relevant mass scales of the model. The proposed scenario places several multiplets at the scales potentially accessible at the LHC and future colliders and correlates this feature with the gauge boson mediated proton decay signatures. It also predicts that one neutrino is massless.