The Standard Model quark/lepton masses and the Cabibbo-Kobayashi-Maskawa mixing in an $\mathrm{SU}(8)$ theory

Abstract

The observed Standard Model (SM) quark/lepton mass hierarchies and the Cabibbo-Kobayashi-Maskawa (CKM) mixing pattern are described in an $\mathrm{SU}(8)$ theory through its realistic symmetry breaking pattern with three intermediate stages, which rely on a set of $d=5$ gravity-induced operators that break the emergent global symmetries in the chiral fermion sector, as well as the precise identifications of all non-trivially embedded SM flavors.

44 pages with references, one appendix, 13 tables, 1 figure. Sequel to: arXiv:2307.07921, matches the published version

References in corpus (10)

• Flavor hierarchies, flavor anomalies, and Higgs mass from a warped extra dimension
• Flavor Non-universal Pati-Salam Unification and Neutrino Masses
• Electroweak flavour unification
• Tri-hypercharge: a separate gauged weak hypercharge for each fermion family as the origin of flavour
• Electroweak-flavour and quark-lepton unification: a family non-universal path
• Doubly Lopsided Mass Matrices from Unitary Unification
• Tri-unification: a separate $SU(5)$ for each fermion family
• Predictive Dirac and Majorana Neutrino Mass Textures from $SU(6)$ Grand Unified Theories
• The global $B-L$ symmetry in the flavor-unified $\mathrm{SU}(N)$ theories
• The gauge coupling evolutions of an $\mathrm{SU}(8)$ theory with the maximally symmetry breaking pattern

Cited by in corpus (5)

• Gravitational waves from cosmic strings in Froggatt-Nielsen flavour models
• The unification in an $\widehat{\mathfrak{su}}(8{)}_{k_U=1}$ affine Lie algebra
• Further study of the maximally symmetry breaking patterns in an $\mathrm{SU}(8)$ theory
• TeV-scale scalar leptoquarks motivated by B anomalies improve Yukawa unification in SO(10) GUT
• The non-topological $Z^{\prime }$ string in the 331 model and its classical stability