Symmetry breaking patterns in 3HDM

Abstract

An attractive feature of New Physics models with multiple Higgs fields is that they are equipped with discrete symmetry groups in the Higgs and flavour sectors. These symmetry groups are often broken at the global minimum of the Higgs potential, either completely or to a proper subgroup, with certain phenomenological consequences. Here, we systematically explore these symmetry breaking patterns in the scalar sector of the three-Higgs-doublet model (3HDM). We use the full list of discrete symmetry groups allowed in 3HDM, and for each group we find all possible ways it can break by the Higgs vacuum expectation value alignment. We also discuss the interplay between these symmetry groups and various forms of CP -violation in the scalar sector of 3HDM. Not only do our results solve the problem for 3HDM, but they also hint at several general features in multi-scalar sectors.

Effects of two inert scalar doublets on Higgs boson interactions and the electroweak phase transition

“…Scenarios incorporating a second Higgs doublet are of course highly popular in the literature [4,5]. Of late models with three scalar weak doublets have also been gaining interest [6][7][8][9][10][11][12][13][14], as they can provide dark matter (DM) candidates [13] and/or an important ingredient for the mechanism that generates neutrino mass [14].…”

Three-Higgs-doublet model under A4 symmetry implies alignment

“…Models with three Higgs doublets have been of interest in their own right and have been examined from various angles [9][10][11]. The scalar spectrum of such models with possible discrete and continuous symmetries have been investigated in [12] while the potential minima and CP-violation options have been examined in [13,14].…”

Heavy charged scalars from $$ c\overline{s} $$ fusion: a generic search strategy applied to a 3HDM with U(1) × U(1) family symmetry

“…refs. [5][6][7][8][9][10][11]). While retaining most of the features of 2HDMs, 3HDMs can offer explanations to yet unexplained features of the SM with predictions testable in the current collider measurements.…”

“…The model has a U(1) X × U(1) Z global symmetry constraining its scalar potential. This symmetry is the biggest abelian symmetry not leading to additional accidental symmetries in a 3HDM [5,12,13]. As a consequence, in the limit of one VEV being much larger than the other two, we can derive simple analytical formulas for masses and mixing matrices in the scalar sector and readily understand the features of the model and its physical consequences.…”