Bottom quark and tau lepton masses in a toy $\mathrm{SU}(6)$

Abstract

We study a toy $\mathrm{SU}(6)$ model with the symmetry breaking pattern of the extended $331$ symmetry of $\mathrm{SU}(3{)}_c\otimes \mathrm{SU}(3{)}_W\otimes \mathrm{U}(1{)}_X$. A "fermion-Higgs mismatching" symmetry breaking pattern is proposed for more realistic model building. Within such symmetry breaking pattern, only one Higgs doublet develops vacuum expectation value for the spontaneous electroweak symmetry breaking, and gives tree-level top quark mass. A natural VEV splittings in the $331$ breaking Higgs fields gives tree-level masses to both bottom quark and tau lepton. The $125\mathrm{GeV}$ SM-like Higgs boson discovered at the LHC can have Yukawa couplings to bottom quark and tau lepton as in the SM prediction, and this suggests the $331$ symmetry breaking scale to be $\sim \mathcal{O}(10)\mathrm{TeV}$.

32 pages, 2 tables, one appendix, matches the published version

References in corpus (18)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• The Anatomy of Quark Flavour Observables in 331 Models in the Flavour Precision Era
• Search for charged Higgs bosons decaying into a top quark and a bottom quark at $\sqrt{s}$=13 TeV with the ATLAS detector
• Radiative neutrino mass in 331 scheme
• Small neutrino masses and gauge coupling unification
• Quark and lepton masses from top loops
• Models of Lepton and Quark Masses
• Question of Peccei-Quinn symmetry and quark masses in the economical 3-3-1 model
• 331 Models and Grand Unification: From Minimal SU(5) to Minimal SU(6)
• Doubly Lopsided Mass Matrices from Unitary Unification
• Constraining 3-3-1 Models at the LHC and Future Hadron Colliders
• Scotogenic neutrino masses with gauged matter parity and gauge coupling unification
• An extended 3-3-1 model with radiative linear seesaw mechanism
• Axion model with the $\mathrm{SU}(6)$ unification
• Doubly Lopsided Mass Matrices from Supersymmetric SU(N) Unification
• Predictive Dirac and Majorana Neutrino Mass Textures from $SU(6)$ Grand Unified Theories
• High-quality grand unified theories with three generations

Cited by in corpus (3)

• The global $B-L$ symmetry in the flavor-unified $\mathrm{SU}(N)$ theories
• 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