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Spontaneous CP violation in multi-Higgs potentials with triplets of Δ(3n2) and Δ(6n2)

Spontaneous CP violation in multi-Higgs potentials with triplets of Δ(3n2) and Δ(6n2)
Spontaneous CP violation in multi-Higgs potentials with triplets of Δ(3n2) and Δ(6n2)
Motivated by discrete flavour symmetry models, we analyse Spontaneous CP Violation (SCPV) for potentials involving three or six Higgs fields (both electroweak doublets and singlets) which fall into irreducible triplet representations of discrete symmetries belonging to the Δ(3n2) and Δ(6n2) series, including A4, S4, Δ(27) and Δ(54). For each case, we give the potential and find various global minima for different regions of the parameter space of the potential. Using CP-odd basis Invariants that indicate the presence of Spontaneous CP Violation we separate the VEVs into those that do or do not violate CP. In cases where CP is preserved we reveal a CP symmetry of the potential that is preserved by those VEVs, otherwise we display a non-zero CP-odd Invariant. Finally we identify interesting cases where there is Spontaneous Geometrical CP Violation in which the VEVs have geometrical phases.
hep-ph
1029-8479
Varzielas, Ivo de Medeiros
9e2b1443-1449-4687-8d03-2f67275730c0
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Luhn, Christoph
59a723a0-9d34-48e8-9b97-9d608ad196c8
Neder, Thomas
6696dff1-d12c-4c53-8f2c-efd1e886b74a
Varzielas, Ivo de Medeiros
9e2b1443-1449-4687-8d03-2f67275730c0
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Luhn, Christoph
59a723a0-9d34-48e8-9b97-9d608ad196c8
Neder, Thomas
6696dff1-d12c-4c53-8f2c-efd1e886b74a

Varzielas, Ivo de Medeiros, King, Stephen F., Luhn, Christoph and Neder, Thomas (2017) Spontaneous CP violation in multi-Higgs potentials with triplets of Δ(3n2) and Δ(6n2). Journal of High Energy Physics, 2017 (136). (doi:10.1007/JHEP11(2017)136).

Record type: Article

Abstract

Motivated by discrete flavour symmetry models, we analyse Spontaneous CP Violation (SCPV) for potentials involving three or six Higgs fields (both electroweak doublets and singlets) which fall into irreducible triplet representations of discrete symmetries belonging to the Δ(3n2) and Δ(6n2) series, including A4, S4, Δ(27) and Δ(54). For each case, we give the potential and find various global minima for different regions of the parameter space of the potential. Using CP-odd basis Invariants that indicate the presence of Spontaneous CP Violation we separate the VEVs into those that do or do not violate CP. In cases where CP is preserved we reveal a CP symmetry of the potential that is preserved by those VEVs, otherwise we display a non-zero CP-odd Invariant. Finally we identify interesting cases where there is Spontaneous Geometrical CP Violation in which the VEVs have geometrical phases.

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Accepted/In Press date: 9 November 2017
e-pub ahead of print date: 22 November 2017
Additional Information: 57 pages, 4 diagrams
Keywords: hep-ph

Identifiers

Local EPrints ID: 416410
URI: http://eprints.soton.ac.uk/id/eprint/416410
ISSN: 1029-8479
PURE UUID: dcba6691-f5b8-45ed-a001-49cd98c24af9

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Date deposited: 15 Dec 2017 17:30
Last modified: 06 Oct 2020 19:45

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Author: Ivo de Medeiros Varzielas
Author: Stephen F. King
Author: Christoph Luhn
Author: Thomas Neder

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