A Model of Fermion Masses and Mixings Triggered by Family Problem in Warped Extra Dimensions

TL;DR

This paper proposes a model in warped extra dimensions that explains fermion mass hierarchies and mixings, aligning well with experimental data and predicting neutrino masses and CP violation.

Contribution

It introduces a two-layer warped 6D model that generates 4D fermion families from a single family, addressing mass hierarchy and family problems simultaneously.

Findings

Reproduces quark and lepton masses and mixings accurately

Predicts sub-eV neutrino masses and CP violation in leptons

Provides a framework linking extra dimensions to fermion properties

Abstract

We suggest a model which addresses both the fermion mass hierarchy problem and the family problem in two-layer warped extra dimensions. In this model, 3 family fermions in 4 dimensions (4D) generate from 1 family in two-layer warped 6D by two step Kluza-Klein decompositions. The mass hierarchies are produced by the exponential behavior of 4D fermion zero mode profiles. The mixings and masses of fermions are closely related to the family problem. By adjusting parameters in this model, the numerical results can be very close to the experimental data both in the quark sector and in the lepton sector. In the lepton sector, we suppose neutrinos to be Dirac ones. The neutrino masses of sub-$\mathrm{eV}$ scale are obtained, and also CP violation emerges in the lepton sector.