Threshold Corrections to Baryon Number Violating Operators in Supersymmetric SU(5) GUTs

TL;DR

This paper calculates one-loop threshold corrections to baryon number violating operators in supersymmetric SU(5) GUTs, showing a modest increase in predicted nucleon decay rates, which is crucial for precise GUT predictions.

Contribution

It derives the threshold corrections to Wilson coefficients of baryon number violating operators in minimal and extended supersymmetric SU(5) GUTs, improving decay rate predictions.

Findings

Nucleon decay rate is enhanced by about 5% in minimal SU(5) GUT.

Threshold corrections are smaller in models with vector-like matter.

Results improve the precision of nucleon lifetime predictions in supersymmetric GUTs.

Abstract

The nucleon decay is a significant phenomenon to verify grand unified theories (GUTs). For the precise prediction of the nucleon lifetime induced by the gauge bosons associated with the unified gauge group, it is important to include the renormalization effects on the Wilson coefficients of the dimension-six baryon number violating operators. In this study, we have derived the threshold corrections to these coefficients at the one-loop level in the minimal supersymmetric SU(5) GUT and the extended one with additional SU(5) vector-like pairs. As a result, it is found that the nucleon decay rate is enhanced about 5% in the minimal setup, and then the enhancement could become smaller in the vector-like matter extensions.