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

E. Barradas-Guevara; O. Felix Beltran; F. Gonzalez Canales; E. Gonzalez Hernandez; E.  Rodriguez Jauregui; M.  Zeleny Mora

doi:10.15415/jnp.2016.41021

Authors

E. Barradas-Guevara Fac. de Cs. Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Apdo. Postal 1152, Puebla, Pue. 72000, México.
O. Felix Beltran Fac. de Cs. de la Electrónica, Benemérita Universidad Autónoma de Puebla, Apdo. Postal 542, Puebla, Pue. 72000, México.
F. Gonzalez Canales Departamento de Física, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Apartado Postal 14-740, 07000 México D.F., México.
E. Gonzalez Hernandez Fac. de Cs. Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Apdo. Postal 1152, Puebla, Pue. 72000, México.
E. Rodriguez Jauregui Fac. de Cs. Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Apdo. Postal 1152, Puebla, Pue. 72000, México.
M. Zeleny Mora Fac. de Cs. Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Apdo. Postal 1152, Puebla, Pue. 72000, México.

DOI:

https://doi.org/10.15415/jnp.2016.41021

Keywords:

Neutrinos, Seesaw, PMNS matrix, 2HDM-III

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. We find that the analytical expressions that we derived reproduce remarkably well the most recent experimental data of neutrino oscillations.

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