A two-generational $\mathrm{SU}(7)$ model with extended weak sector: mass hierarchies, mixings, and the flavor non-universality

Abstract

We study a possible gauge symmetry breaking pattern in an $\mathrm{SU}(7)$ grand unified theory, which describes the mass origins of all electrically charged SM fermions of the second and the third generations. Two intermediate gauge symmetries of ${\mathcal{G}}_{341}\equiv \mathrm{SU}(3{)}_c\otimes \mathrm{SU}(4{)}_W\otimes \mathrm{U}(1{)}_{X_0}$ and ${\mathcal{G}}_{331}\equiv \mathrm{SU}(3{)}_c\otimes \mathrm{SU}(3{)}_W\otimes \mathrm{U}(1{)}_{X_1}$ arise above the electroweak scale. SM fermion mass hierarchies between two generations can be obtained through a generalized seesaw mechanism. The mechanism can be achieved with suppressed symmetry breaking VEVs from multiple Higgs fields that are necessary to avoid tadpole terms in the Higgs potential. Some general features of the $\mathrm{SU}(7)$ fermion spectrum will be described, which include the existence of vectorlike fermions, the tree-level flavor changing weak currents between the SM fermions and heavy partner fermions, and the flavor non-universality between different SM generations from the extended weak sector.

55 pages, 1 figure, 14 tables, preprint matches the published version

References in corpus (17)

• Parton distributions for the LHC
• Updated Values of Running Quark and Lepton Masses
• From the trees to the forest: a review of radiative neutrino mass models
• The Anatomy of Quark Flavour Observables in 331 Models in the Flavour Precision Era
• Precise Values of Running Quark and Lepton Masses in the Standard Model
• Radiative neutrino mass in 331 scheme
• Small neutrino masses and gauge coupling unification
• Models of Lepton and Quark Masses
• Mounting Evidence for the Violation of Lepton Flavor Universality
• Question of Peccei-Quinn symmetry and quark masses in the economical 3-3-1 model
• Flavor Invariants and Renormalization-group Equations in the Leptonic Sector with Massive Majorana Neutrinos
• 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