Two Higgs Doublet Model from Six Dimensional Gauge Theory

Abstract

We improve our previously proposed two Higgs doublet model of six-dimensional $SU(4)$ gauge theory compactified on an orbifold $T^2/Z_2$ by introducing the brane localized gauge kinetic terms. Since two Higgs doublets are identified with massless zero modes in extra spatial components of the six-dimensional gauge field, the Higgs sector in our model is constrained by the six-dimensional gauge symmetry. As a result, our Higgs potential at tree-level is automatically CP conserving and $Z_2$ symmetric, which are assumed by hand in the ordinary two Higgs doublet models. The scalar masses breaking the $Z_2$ symmetry softly are generated at one-loop. We show that the Standard Model Higgs mass can be obtained by tuning the size of the brane localized gauge kinetic terms as well as the electroweak symmetry breaking is realized. Other physical Higgs masses are predicted.

Figures (2)

• Figure 1: The shape of the effective potential. The potentials with (a) $c=0$ and (b) $c=15$ have a minimum at $(\alpha^{\text{min}}_1, \alpha^{\text{min}}_2) = (0.44, 0.30)$ and $(\alpha^{\text{min}}_1, \alpha^{\text{min}}_2) = (0.46, 0.30)$, respectively.
• Figure 4: SM Higgs and the second Higgs masses as functions of the size of the BLKTs $c$