Spontaneous symmetry breaking in the $S_3$-symmetric scalar sector

Emmanuel-Costa, D.; Ogreid, O.M.; Osland, P.; Rebelo, M.N.

doi:10.1007/JHEP08(2016)169

Article
Report number	arXiv:1601.04654 ; CERN-TH-2016-013 ; CERN-TH-2016-013
Title	Spontaneous symmetry breaking in the $S_3$-symmetric scalar sector
Author(s)	Emmanuel-Costa, D. (Lisbon, CFTP) ; Ogreid, O.M. (Bergen Coll. Higher Educ.) ; Osland, P. (Bergen U.) ; Rebelo, M.N. (Lisbon, CFTP ; CERN)
Publication	2016-02-23
Imprint	18 Jan 2016
Number of pages	37
Note	37 pages. v2: Minor changes in the references, matches published version. v3: Table 6 corrected: two additional cases conserve CP. Related discussion adapted. Version consistent with JHEP Erratum
In:	JHEP 02 (2016) pp.154 JHEP 08 (2016) pp.169
DOI	10.1007/JHEP02(2016)154 10.1007/JHEP08(2016)169 (Erratum)
Subject category	Particle Physics - Phenomenology
Abstract	We present a detailed study of the vacua of the $S_3$-symmetric three-Higgs-doublet potential, specifying the region of parameters where these minimisation solutions occur. We work with a CP conserving scalar potential and analyse the possible real and complex vacua with emphasis on the cases in which the CP symmetry can be spontaneously broken. Results are presented both in the reducible-representation framework of Derman, and in the irreducible-representation framework. Mappings between these are given. Some of these implementations can in principle accommodate dark matter and for that purpose it is important to identify the residual symmetries of the potential after spontaneous symmetry breakdown. We are also concerned with constraints from vacuum stability.
Copyright/License	arXiv nonexclusive-distrib. 1.0 preprint: © 2016-2025 CERN (License: CC-BY-4.0) publication: © 2016-2025 The Author(s) (License: CC-BY-4.0)