Generic Gravitational Corrections to Gauge Couplings in SUSY SU(5) GUTs

TL;DR

This paper investigates how higher-dimensional operators in SUSY SU(5) GUTs cause non-universal corrections to gauge couplings, affecting predictions like the strong coupling constant and proton decay, with considerations for non-SUSY scenarios.

Contribution

It provides a detailed analysis of non-universal gauge coupling corrections from specific SU(5) representations and explores their impact on GUT predictions and proton decay.

Findings

Corrections depend on {f 24}, {f 75}, and {f 200} representations.

Predictions for (M_Z) vary with different correction directions.

Implications for proton decay rates are discussed.

Abstract

We study non-universal corrections to the gauge couplings due to higher dimensional operators in supersymmetric SU(5) grand unified theories. The corrections are, in general, parametrized by three components originating from {\bf 24}, {\bf 75} and {\bf 200} representations. We consider the prediction of $\alpha_3(M_Z)$ along each {\bf 24}, {\bf 75} and {\bf 200} direction, and their linear combinations. The magnitude of GUT scale and its effects on proton decay are discussed. Non-SUSY case is also examined.