@Article{FernandezNavarro_etal2024,
author="Fernandez Navarro, M.
and King, S. F.
and Vicente, A.",
title="Tri-unification: a separate SU(5) for each fermion family",
journal="Journal of High Energy Physics",
year="2024",
publisher="Springer",
volume="05",
number="5",
pages="130--32pp",
optkeywords="Grand Unification; Theories of Flavour",
abstract="In this paper we discuss SU(5)3 with cyclic symmetry as a possible grand unified theory (GUT). The basic idea of such a tri-unification is that there is a separate SU(5) for each fermion family, with the light Higgs doublet(s) arising from the third family SU(5), providing a basis for charged fermion mass hierarchies. SU(5)3 tri-unification reconciles the idea of gauge non-universality with the idea of gauge coupling unification, opening the possibility to build consistent non-universal descriptions of Nature that are valid all the way up to the scale of grand unification. As a concrete example, we propose a grand unified embedding of the tri-hypercharge model {\backslash}documentclass[12pt]{\{}minimal{\}} {\backslash}usepackage{\{}amsmath{\}} {\backslash}usepackage{\{}wasysym{\}} {\backslash}usepackage{\{}amsfonts{\}} {\backslash}usepackage{\{}amssymb{\}} {\backslash}usepackage{\{}amsbsy{\}} {\backslash}usepackage{\{}mathrsfs{\}} {\backslash}usepackage{\{}upgreek{\}} {\backslash}setlength{\{}{\backslash}oddsidemargin{\}}{\{}-69pt{\}} {\backslash}begin{\{}document{\}}{\$}{\$}{\{}{\backslash}text{\{}U{\}}{\}}{\{}{\backslash}left(1{\backslash}right){\}}{\_}{\{}Y{\}}<^>{\{}3{\}}{\$}{\$}{\backslash}end{\{}document{\}} based on an SU(5)3 framework with cyclic symmetry. We discuss a minimal tri-hypercharge example which can account for all the quark and lepton (including neutrino) masses and mixing parameters. We show that it is possible to unify the many gauge couplings into a single gauge coupling associated with the cyclic SU(5)3 gauge group, by assuming minimal multiplet splitting, together with a set of relatively light colour octet scalars. We also study proton decay in this example, and present the predictions for the proton lifetime in the dominant e+pi 0 channel.",
optnote="WOS:001256025400004",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=6171), last updated on Tue, 09 Jul 2024 07:55:34 +0000",
issn="1029-8479",
doi="10.1007/JHEP05(2024)130",
opturl="https://arxiv.org/abs/2311.05683",
opturl="https://doi.org/10.1007/JHEP05(2024)130",
language="English"
}