The gauge coupling evolutions of an ${\rm SU}(8)$ theory with the maximally symmetry breaking pattern

Fuente: arXiv
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Main Authors: Chen, Ning, Hou, Zhanpeng, Mao, Ying-nan, Teng, Zhaolong
Format: Preprint
Published: 2024
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author Chen, Ning
Hou, Zhanpeng
Mao, Ying-nan
Teng, Zhaolong
author_facet Chen, Ning
Hou, Zhanpeng
Mao, Ying-nan
Teng, Zhaolong
contents We study the renormalizable group equations (RGEs) of the extended strong and weak gauge couplings in an ${\rm SU}(8)$ theory, where three-generational SM fermions are non-trivially embedded. This framework was previously found to generate the observed SM quark/lepton mass hierarchies and the Cabibbo-Kobayashi-Maskawa mixing pattern through its maximally breaking pattern. The field theoretical two-loop RGEs can not achieve the gauge coupling unification with the minimal setup, unless additional adjoint Higgs fields as well as the gravity-induced $d=5$ term to the ${\rm SU}(8)$ field strength term are included.
format Preprint
id arxiv_https___arxiv_org_abs_2406_09970
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The gauge coupling evolutions of an ${\rm SU}(8)$ theory with the maximally symmetry breaking pattern
Chen, Ning
Hou, Zhanpeng
Mao, Ying-nan
Teng, Zhaolong
High Energy Physics - Phenomenology
High Energy Physics - Theory
We study the renormalizable group equations (RGEs) of the extended strong and weak gauge couplings in an ${\rm SU}(8)$ theory, where three-generational SM fermions are non-trivially embedded. This framework was previously found to generate the observed SM quark/lepton mass hierarchies and the Cabibbo-Kobayashi-Maskawa mixing pattern through its maximally breaking pattern. The field theoretical two-loop RGEs can not achieve the gauge coupling unification with the minimal setup, unless additional adjoint Higgs fields as well as the gravity-induced $d=5$ term to the ${\rm SU}(8)$ field strength term are included.
title The gauge coupling evolutions of an ${\rm SU}(8)$ theory with the maximally symmetry breaking pattern
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2406.09970