Two Higgs Doublets Model in Gauge-Higgs Unification framework

TL;DR

This paper explores how a two Higgs doublets model can naturally emerge within a 6D Gauge-Higgs Unification framework, with specific geometric and group-theoretic conditions shaping the scalar potential and Higgs spectrum.

Contribution

It demonstrates the realization of a two Higgs doublets model in a 6D Gauge-Higgs Unification setting, highlighting geometric constraints and gauge invariance in the scalar potential.

Findings

Two Higgs doublets can emerge at low energy in this framework.

The scalar potential's form depends on the Lie group G_M and geometric relations.

The Higgs mass spectrum and weak mixing angle are briefly analyzed.

Abstract

We discuss the realization of two Higgs doublets model in the framework of 6 dimensional Gauge-Higgs Unification model with a simple Lie group G_M. Two Higgs SU(2)_L doublets can emerge at the low energy effective theory, and the quartic coupling terms in the scalar potential, essential for the electroweak symmetry breaking, are now G_M gauge invariant and permissive. A realistic two Higgs doublets model can possibly be obtained only when two of the root vectors associated with the would-be Higgs doublets and the root vector for SU(2)_L form an isosceles triangle with vertex angle either of Pi/3, Pi/2, or 2Pi/3. Moreover, depending on G_M, the scalar potential of resulting two Higgs doublets model can admit only a few limited forms. The mass spectrum of the physical Higgs and the weak mixing angle are briefly discussed.