Threshold Corrections to Dimension-six Proton Decay Operators in Non-minimal SUSY SU(5) GUTs

TL;DR

This paper calculates threshold corrections to proton decay in non-minimal SUSY SU(5) GUTs, showing a significant suppression of decay rates due to GUT-scale effects in a missing-partner model.

Contribution

It provides the first detailed analysis of high and low scale threshold corrections in non-minimal SUSY SU(5) models with higher-dimensional Higgs multiplets, especially the missing-partner model.

Findings

Proton decay rate is suppressed by about 60% in the missing-partner model.

GUT-scale threshold effects are the dominant suppression mechanism.

SUSY-scale corrections are less significant with heavy sfermions.

Abstract

We calculate the high and low scale threshold corrections to the D=6 proton decay mode in supersymmetric SU(5) grand unified theories with higher-dimensional representation Higgs multiplets. In particular, we focus on a missing-partner model in which the grand unified group is spontaneously broken by the 75-dimensional Higgs multiplet and the doublet-triplet splitting problem is solved. We find that in the missing-partner model the D=6 proton decay rate gets suppressed by about 60%, mainly due to the threshold effect at the GUT scale, while the SUSY-scale threshold corrections are found to be less prominent when sfermions are heavy.