Stability and symmetry breaking in a three Higgs-boson doublet model with lepton family symmetry O(2)xZ2

TL;DR

This paper explores a three-Higgs-doublet extension of the Standard Model with lepton family symmetry, analyzing its potential stability, symmetry breaking, and neutrino mixing implications, despite some deviations from current experimental data.

Contribution

It provides a detailed study of the Higgs potential in a three-doublet model with specific symmetries, demonstrating stability and correct electroweak symmetry breaking.

Findings

Potential is stable for various parameters

Model achieves correct electroweak symmetry breaking

Neutrino mixing matrix approximates experimental values

Abstract

Motivated by the neutrino data, an extension of the Standard Model with three Higgs-boson doublets has been proposed. Imposing an O(2) x Z2 family symmetry, a neutrino mixing matrix with theta23 = pi/4 and theta13 = 0 appears in a natural way. Even though these values for the mixing matrix do not follow the recent experimental constraints, they are nevertheless a good approximation. We study the Higgs potential of this model in detail. We apply recent methods which allow for the study of any three-Higgs-boson doublet model. It turns out that for a variety of parameters the potential is stable, has the correct electroweak symmetry breaking, and gives the correct vacuum expectation value.