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

• DOI: 10.48550/arxiv.2406.09970
• Publication Date: 2024-10-22
• Authors: Ning Chen; Zhanpeng Hou; Ying-nan Mao; Zhaolong Teng
• Keywords: High Energy Physics - Theory; High Energy Physics - Phenomenology; High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th); Nuclear and particle physics. Atomic energy. Radioactivity; FOS: Physical sciences; QC770-798; Theories of Flavour; Grand Unification

Abstract We study the renormalizable group equations (RGEs) of the extended strong and weak gauge couplings in an 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 SU(8) field strength term are included.