Proton Lifetime in Minimal Supersymmetric SU(5) with Gauge Mediation

TL;DR

This paper predicts proton lifetimes in minimal SUSY SU(5) GUT with gauge mediation, showing they are consistent with current limits and testable in future experiments, based on detailed mass spectrum calculations.

Contribution

It provides a detailed analysis of proton decay predictions in minimal SUSY SU(5) with gauge mediation, incorporating low-scale mass spectrum calculations and specific messenger scale assumptions.

Findings

Proton lifetime estimates are consistent with current experimental bounds.

The predicted proton decay mode is $p o K^+ ar{ u}$.

Proton decay could be observed in future experiments.

Abstract

In this paper, we discuss the predicted proton lifetimes in minimal supersymmetric (SUSY) $SU(5)$ grand unified theory (GUT) with gauge mediated supersymmetry breaking (GMSB). We focus on the case of $\mathbf{5} + \mathbf{\bar{5}}$ messengers and determine the low-scale mass spectrum of the scalar particles and gauginos using the renormalization group equations. With the obtained mass spectrum, we calculate the dominant proton decay mode for SUSY $SU(5)$ GUT, $p \to K^+ \bar{\nu}$. In our setup, we assume the messenger scale to be $\mathcal{O}(10^3)$ TeV in order to obtain a proper Higgs mass in GMSB scenario. For this messenger scale, we find the proton lifetime is consistent with current experimental limits and can be tested by future proton decay experiments.