Unitarity constraints on large multiplets of arbitrary gauge groups

Fuente: arXiv
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Autores principales: Milagre, André, Lavoura, Luís
Formato: Preprint
Publicado: 2024
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author Milagre, André
Lavoura, Luís
author_facet Milagre, André
Lavoura, Luís
contents We impose partial-wave unitarity on $2 \to 2$ tree-level scattering processes to derive constraints on the dimensions of large scalar and fermionic multiplets of arbitrary gauge groups. We apply our results to scalar and fermionic extensions of the Standard Model, and also to the Grand Unified Theories (GUTs) based on the groups $SU(5)$, $SO(10)$, and $E_6$. We find scenarios within the latter two GUTs that violate the unitarity condition; this may require a reevaluation of the validity of perturbation theory in those scenarios.
format Preprint
id arxiv_https___arxiv_org_abs_2403_12914
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Unitarity constraints on large multiplets of arbitrary gauge groups
Milagre, André
Lavoura, Luís
High Energy Physics - Phenomenology
We impose partial-wave unitarity on $2 \to 2$ tree-level scattering processes to derive constraints on the dimensions of large scalar and fermionic multiplets of arbitrary gauge groups. We apply our results to scalar and fermionic extensions of the Standard Model, and also to the Grand Unified Theories (GUTs) based on the groups $SU(5)$, $SO(10)$, and $E_6$. We find scenarios within the latter two GUTs that violate the unitarity condition; this may require a reevaluation of the validity of perturbation theory in those scenarios.
title Unitarity constraints on large multiplets of arbitrary gauge groups
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2403.12914