Analysis of the Lepton Mixing Matrix in the Two Higgs Doublet Model

TL;DR

This paper develops a unified analytical framework for the lepton mixing matrix in the Two Higgs Doublet Model with right-handed neutrinos, successfully matching current neutrino oscillation data.

Contribution

It introduces a four-zero texture approach for all fermion mass matrices within the 2HDM-III, providing explicit formulas for the PMNS matrix in terms of masses and model parameters.

Findings

Analytical PMNS expressions fit recent neutrino data well

Unified treatment of fermion mass matrices with four-zero texture

Likelihood analysis confirms model's compatibility with experimental results

Abstract

In the theoretical framework of Two Higgs Doublet Model (2HDM) plus three right-handed neutrinos we consider a universal treatment for the mass matrices, aside from that the active neutrinos acquire their small mass through the type-I seesaw mechanism. Then, as long as a matrix with four-zero texture is used to represent the right-handed neutrinos and Yukawa matrices, we obtain a unified treatment where all fermion mass matrices have four-zero texture. We obtain analytical and explicit expressions for the lepton flavour mixing matrix PMNS in terms of fermion masses and parameters associated with the 2HDM-III. Further, we compare these expressions of the PMNS matrix with the most up to date values of masses and mixing in the lepton sector, via a likelihood test $\chi^{2}$. We find that the analytical expressions that we derived reproduce remarkably well the most recent experimental data of neutrino oscillations.