Minimal supersymmetric SU(5) theory and proton decay: where do we stand?

TL;DR

This paper reviews the status of proton decay predictions in minimal supersymmetric SU(5) GUTs, discussing the impact of higher-dimensional operators and fine-tuning on the theory's viability.

Contribution

It provides a comprehensive analysis of proton decay constraints within the minimal supersymmetric SU(5) framework, considering Planck-scale effects and necessary fine-tuning.

Findings

Proton decay predictions are sensitive to higher-dimensional operators.

Fine-tuning of Higgs mass at the 1% level is required for consistency.

Planck-scale physics can significantly alter minimal SU(5) GUT predictions.

Abstract

We review the situation regarding d=5 proton decay in the minimal supersymmetric SU(5) GUT. The minimal theory is defined as the theory with the minimal matter and Higgs content all the way up to the Planck scale; of course, this allows for the possible presence of Planck induced physics. It can be said that either higher dimensional operators must be present or/and some fine-tuning of O(1%) of the Higgs mass must be tolerated in order to save the theory.