A novel and economical explanation for SM fermion masses and mixings

A E Cárcamo Hernández

doi:10.1140/epjc/s10052-016-4351-y

Abstract

I propose the first multiscalar singlet extension of the standard model (SM), which generates tree level top quark and exotic fermion masses as well as one and three loop level masses for charged fermions lighter than the top quark and for light active neutrinos, respectively, without invoking electrically charged scalar fields. That model, which is based on the $$S_{3}\times Z_{8}$$ discrete symmetry, successfully explains the observed SM fermion mass and mixing pattern. The charged exotic fermions induce one loop level masses for charged fermions lighter than the top quark. The $$Z_{8}$$ charged scalar singlet $$\chi $$ generates the observed charged fermion mass and quark mixing pattern.

Highlights

Despite its great consistency with the experimental data, the standard model (SM) is unable to explain several issues such as, for example, the number of fermion generations, the observed pattern of fermion masses and mixings, etc
That multiscalar singlet extension is consistent with the SM fermion mass and mixing pattern
Fermionic fields described above, together with the S3 doublet η = (η1, η2) will induce one and three loop radiative seesaw mechanisms to generate the masses for fermions lighter than the top quark and for the light active neutrinos, respectively

Summary

Introduction

Despite its great consistency with the experimental data, the standard model (SM) is unable to explain several issues such as, for example, the number of fermion generations, the observed pattern of fermion masses and mixings, etc. In this letter I propose the first multiscalar singlet extension of the SM, that generates tree level top quark and exotic fermion masses as well as one and three loop level masses for charged fermions lighter than the top quark and for light active neutrinos, respectively, without invoking electrically charged scalar fields. That multiscalar singlet extension is consistent with the SM fermion mass and mixing pattern

The model

Fermion masses and mixings

Conclusions