Two-loop Renormalization Factors of Dimension-six Proton Decay Operators in the Supersymmetric Standard Models

TL;DR

This paper calculates two-loop renormalization factors for dimension-six proton decay operators in supersymmetric grand unified theories, providing numerical results for minimal SUSY SU(5) and a general formula for one-loop factors.

Contribution

It presents the first two-loop level calculation of renormalization factors for proton decay operators in SUSY GUTs and derives a general one-loop formula for higher-dimensional operators.

Findings

Numerical renormalization factors for minimal SUSY SU(5) are provided.

A simple one-loop formula for higher-dimensional operators is derived.

The results improve precision in proton decay rate predictions.

Abstract

The renormalization factors of the dimension-six effective operators for proton decay are evaluated at two-loop level in the supersymmetric grand unified theories. For this purpose, we use the previous results in which the quantum corrections to the effective Kahler potential are evaluated at two-loop level. Numerical values for the factors are presented in the case of the minimal supersymmetric SU(5) grand unified model. We also derive a simple formula for the one-loop renormalization factors for any higher-dimensional operators in the Kahler potential, assuming that they are induced by the gauge interactions.