Stability and symmetry breaking in the general three-Higgs-doublet model

Abstract

Stability, electroweak symmetry breaking, and the stationarity equations of the general three-Higgs-doublet model (3HDM) where all doublets carry the same hypercharge are discussed in detail. Employing the bilinear formalism the study of the 3HDM potential turns out to be straightforward. For the case that the potential leads to the physically relevant electroweak symmetry breaking we present explicit formulae for the masses of the physical Higgs bosons.Comment: 21 pages. Revised version with errors corrected with respect to the stability and stationarity equations for the case of the bilinear's matrix of rank 1. Ensueing errors in Chapter 7 and appendix B are also correcte

Stability and symmetry breaking in the generaln-Higgs-doublet model

“…Our discussion above of the stability conditions for the nHDM potential generalises the results for the THDM and the 3HDM in [2] and [3], respectively. We have been careful to use in our present paper a compatible notation.…”

“…The aim is to find precise conditions for stability, electroweak symmetry-breaking, as well as to give equations to find systematically all stationary points, in particular, to detect the global minimum. It was shown that this is indeed possible in the case of the THDM [2] as well as in the 3HDM [3]. Here we want to generalise these findings.…”

“…The case of n Higgs-boson doublets is a generalisation of the cases with two or three doublets which were discussed in detail in [2,3].…”

“…This is done in an analogous way to the cases with n = 2, 3, that is the THDM and the 3HDM; see [2,3]. The case n/2K 0 = ϕ † 1 ϕ 1 + .…”

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].…”