%0 Journal Article
%T Tri-unification: a separate SU(5) for each fermion family
%A Fernandez Navarro, M.
%A King, S. F.
%A Vicente, A.
%J Journal of High Energy Physics
%D 2024
%V 05
%N 5
%I Springer
%@ 1029-8479
%G English
%F FernandezNavarro_etal2024
%O WOS:001256025400004
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=6171), last updated on Tue, 09 Jul 2024 07:55:34 +0000
%X 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 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{U}}{\left(1\right)}_{Y}<^>{3}$$\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.
%K Grand Unification
%K Theories of Flavour
%R 10.1007/JHEP05(2024)130
%U https://arxiv.org/abs/2311.05683
%U https://doi.org/10.1007/JHEP05(2024)130
%P 130-32pp