Gauge and Scalar Boson Mediated Proton Decay in a Predictive SU(5) GUT Model

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Main Authors: Doršner, Ilja, Džaferović-Mašić, Emina, Fajfer, Svjetlana, Saad, Shaikh
Format: Preprint
Published: 2024
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author Doršner, Ilja
Džaferović-Mašić, Emina
Fajfer, Svjetlana
Saad, Shaikh
author_facet Doršner, Ilja
Džaferović-Mašić, Emina
Fajfer, Svjetlana
Saad, Shaikh
contents We assess proton decay signatures in the simplest viable $SU(5)$ model with regard to constraints on parameters governing the Standard Model fermion mass spectrum. Experimental signals for all eight two-body proton decay processes result from exchange of two gauge bosons, a single scalar leptoquark, or their combination. Consequently, it enables us to delve into an in-depth anatomy of proton decay modes and anticipate future signatures. Our findings dictate that observing a proton decay into $p\toπ^0e^+$ indicates gauge boson mediation, with the potential for observation of $p\toη^0e^+$ mode. Alternatively, if decay is through $p\to K^+\overlineν$ process, it is mediated by a scalar leptoquark, possibly allowing the observation of $p\toπ^0μ^+$. Detection of both $p\toπ^0 e^+$ and $p\to K^+\overlineν$ could enhance $p\toπ^0μ^+$ through constructive interference. The model predicts inaccessibility of $p\toπ^+\overlineν$, $p\toη^0μ^+$, $p\to K^0e^+$, and $p\to K^0μ^+$, regardless of the dominant mediation type, in the coming decades. In summary, through a comprehensive analysis of proton decay signals, gauge coupling unification, and fermion masses and mixing, we precisely constrain the parameter space of the $SU(5)$ model in question.
format Preprint
id arxiv_https___arxiv_org_abs_2401_16907
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Gauge and Scalar Boson Mediated Proton Decay in a Predictive SU(5) GUT Model
Doršner, Ilja
Džaferović-Mašić, Emina
Fajfer, Svjetlana
Saad, Shaikh
High Energy Physics - Phenomenology
We assess proton decay signatures in the simplest viable $SU(5)$ model with regard to constraints on parameters governing the Standard Model fermion mass spectrum. Experimental signals for all eight two-body proton decay processes result from exchange of two gauge bosons, a single scalar leptoquark, or their combination. Consequently, it enables us to delve into an in-depth anatomy of proton decay modes and anticipate future signatures. Our findings dictate that observing a proton decay into $p\toπ^0e^+$ indicates gauge boson mediation, with the potential for observation of $p\toη^0e^+$ mode. Alternatively, if decay is through $p\to K^+\overlineν$ process, it is mediated by a scalar leptoquark, possibly allowing the observation of $p\toπ^0μ^+$. Detection of both $p\toπ^0 e^+$ and $p\to K^+\overlineν$ could enhance $p\toπ^0μ^+$ through constructive interference. The model predicts inaccessibility of $p\toπ^+\overlineν$, $p\toη^0μ^+$, $p\to K^0e^+$, and $p\to K^0μ^+$, regardless of the dominant mediation type, in the coming decades. In summary, through a comprehensive analysis of proton decay signals, gauge coupling unification, and fermion masses and mixing, we precisely constrain the parameter space of the $SU(5)$ model in question.
title Gauge and Scalar Boson Mediated Proton Decay in a Predictive SU(5) GUT Model
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2401.16907