Study of non-minimal SUSY SU(5) model with realistic fermion sectors

TL;DR

This paper investigates a supersymmetric SU(5) model with additional Higgs multiplets, analyzing gauge coupling unification, fermion masses, and proton decay, proposing a mechanism to address proton longevity through destructive interference of dimension-five operators.

Contribution

It introduces a SUSY SU(5) model with 45+ar 45 Higgs multiplets and explores how destructive interference among operators can solve proton decay issues.

Findings

Model achieves gauge coupling unification.

Destructive interference suppresses proton decay.

Model remains consistent with experimental data.

Abstract

We study a supersymmetric SU(5) model with the extra Higgs multiplets of 45+\bar 45. The unification of the gauge couplings, the fermion masses and the proton lifetime are discussed in details. The dimension-five operators mediated by different colored Higgs sector can be destructive with each other. This effect serves a way of solving the longevity of proton. We analytically analyze this destructive effect in a special limit where the mixing between the 5- and 45-plets is small. Although the theory does not hold in this special limit, it is a revelatory starting point. We can relax this limit and retain the destructive effect. In a generalized parameter space, this model is in accord with experimental results.