Employing nucleon decay as a fingerprint of SUSY GUT models using \texttt{SusyTCProton}

TL;DR

This paper introduces exttt{SusyTCProton}, a software tool for calculating nucleon decay rates in SUSY GUTs, enabling model differentiation through decay rate ratios and including detailed loop calculations.

Contribution

The paper presents exttt{SusyTCProton}, an extension of exttt{SusyTC} integrated with exttt{REAP}, to compute nucleon decay rates from GUT operators, and demonstrates its use in distinguishing GUT models.

Findings

Different GUT models can be distinguished by their nucleon decay rate ratios.

exttt{SusyTCProton} accurately computes decay rates including loop effects.

The tool is versatile for SUSY and non-SUSY GUT analyses.

Abstract

While the observation of nucleon decay would be a smoking gun of Grand Unified Theories (GUTs) in general, the ratios between the decay rates of the various channels carry rich information about the specific GUT model realization. To investigate this fingerprint of GUT models in the context of supersymmetric (SUSY) GUTs, we present the software tool \texttt{SusyTCProton}, which is an extension of the module \texttt{SusyTC} to be used with the \texttt{REAP} package. It allows to calculate nucleon decay rates from the relevant dimension five GUT operators specified at the GUT scale, including the full loop-dressing at the SUSY scale. As an application, we investigate the fingerprints of two example GUT toy models with different flavor structures, performing an MCMC analysis to include the experimental uncertainties for the charged fermion masses and CKM mixing parameters. While both toy models provide equally good fits to the low energy data, we show how they could be distinguished via their predictions of ratios for nucleon decay rates. Together with \texttt{SusyTCProton} we also make the additional module \texttt{ProtonDecay} public. It can be used independently from \texttt{REAP} and allows to calculate nucleon decay rates from given $D=5$ and $D=6$ operator coefficients (accepting the required SUSY input for the $D=5$ case in SLHA format). The $D=6$ functionality can also be used to calculate nucleon decay in non-SUSY GUTs.