Minimal model for the fermion flavor structure, mass hierarchy, dark matter, leptogenesis, and the electron and muon anomalous magnetic moments

A E Cárcamo Hernández,D T Huong,H N Long

doi:10.1103/physrevd.102.055002

A E Cárcamo Hernández, D T Huong + Show 1 more

Open Access

https://doi.org/10.1103/physrevd.102.055002

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Abstract

We propose a renormalizable theory with minimal particle content and symmetries, that successfully explains the number of Standard Model (SM) fermion families, the SM fermion mass hierarchy, the tiny values for the light active neutrino masses, the lepton and baryon asymmetry of the Universe, the dark matter relic density as well as the muon and electron anomalous magnetic moments. In the proposed model, the top quark and the exotic fermions do acquire tree-level masses whereas the SM charged fermions lighter than the top quark gain one-loop level masses. Besides that, the tiny masses for the light active neutrino are generated from an inverse seesaw mechanism at one-loop level.

Highlights

We propose a renormalizable theory with minimal particle content and symmetries, that successfully explains the number of Standard Model (SM) fermion families, the SM fermion mass hierarchy, the tiny values for the light active neutrino masses, the lepton and baryon asymmetry of the Universe, the dark matter relic density as well as the muon and electron anomalous magnetic moments
We propose a minimal renormalizable theory with the extended SUð3ÞC × SUð3ÞL × Uð1ÞX gauge symmetry, which is supplemented by the Uð1ÞLg lepton number symmetry and the Z4 discrete group
The above gauge symmetry is crucial for explaining the number of SM fermion families since to fulfill the anomaly cancellation conditions, the number of left-handed SUð3ÞL fermion triplets has to be equal to the number of SUð3ÞL fermion antitriplets, which only happens when the number of fermion generations is a multiple of

Summary

Published by the American Physical Society

Q1L Q2L Q3L uiR diR J1R J2R J3R TkL TkR T2L T2R B1L B1R B2L B2R LiL liR EiL EiR NiR ΩnR. In the case of minimal scalar content, one seesaw fermionic mediator is needed to provide one-loop level masses for each light SM fermions Because of this reason, three vectors like-charged exotic. After the model symmetries are spontaneously broken, the above Yukawa interactions generate the one-loop level entries for the SM charged fermion mass matrices, as indicated by the Feynman diagrams of Fig. 2. From the lepton Yukawa interactions of (6), it follows that the charged exotic leptons Ei (i 1⁄4 1, 2, 3) (which are assumed to be physical fields) and the righthanded Majorana neutrinos ΩnR (n 1⁄4 1, 2) get tree-level masses at the scales mE and vφ, respectively, whereas the SM charged leptons masses as well as the mass terms for the gauge singlet neutral leptons NiR (i 1⁄4 1, 2, 3) appear at. From the neutrino Yukawa interactions of Eq (6) we get the following neutrino mass terms:

ÞT zðLÞ

NaR as NÆa

AÆ mN

ΓÆ H