Upper Limit on the Proton Lifetime in Minimal Supersymetric SU(5)

TL;DR

This paper investigates the maximum possible proton lifetime in minimal supersymmetric SU(5) models with CMSSM boundary conditions, finding it could be detectable by upcoming experiments like JUNO and Hyper-Kamiokande.

Contribution

It provides the first comprehensive upper limit estimate on proton lifetime in minimal supersymmetric SU(5) considering soft mass constraints and experimental sensitivities.

Findings

Proton lifetime is within experimental reach of JUNO and Hyper-Kamiokande.

The upper limit is derived from extensive parameter scans of the CMSSM.

Proton decay predictions are tightly linked to soft supersymmetry-breaking parameters.

Abstract

In minimal supersymmetric SU(5) models, the proton can decay through dimension 5 operators. Since this decay depends directly on the supersymmetric soft masses, it will be constrained by other observables which depend on the soft masses, such as the Higgs mass and the dark matter relic density. In this work, we will examine the upper limit on the proton lifetime in minimal supersymmetric SU(5) with constrained minimal supersymmetric (CMSSM) boundary conditions set at the grand unification scale. We perform a random scan over the variables of the (CMSSM), with of order $10^{6}$ points, and find that the proton lifetime is within reach of JUNO and Hyper-Kamiokande's experiment.