The flavour problem and family symmetry beyond the Standard Model

TL;DR

This paper investigates whether discrete family symmetries within a two Higgs doublet model can explain lepton masses and mixing, concluding that such symmetries are insufficient for solving the flavour problem.

Contribution

It analyzes the role of large discrete family symmetry groups in a two Higgs doublet model for lepton flavor, extending previous work beyond the Standard Model.

Findings

Discrete family symmetries do not adequately explain lepton masses and mixing.

Large symmetry groups up to order 1025 are considered.

Results are consistent with previous findings in the Standard Model context.

Abstract

In the frame of two Higgs doublet model we try to explain the lepton masses and mixing matrix elements assuming that neutrinos are Dirac particles. Discrete family symmetry groups, which are subgroups of U(3) up to the 1025 order are considered. Like in the one Higgs Standard Model, we found that discrete family symmetries do not give satisfactory answer for this basic questions in the flavour problem.