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CP-odd invariants for multi-Higgs models: applications with discrete symmetry

CP-odd invariants for multi-Higgs models: applications with discrete symmetry
CP-odd invariants for multi-Higgs models: applications with discrete symmetry
CP-odd invariants provide a basis independent way of studying the CP properties of Lagrangians. We propose powerful methods for constructing basis invariants and determining whether they are CP odd or CP even, then systematically construct all of the simplest CP-odd invariants up to a given order, finding many new ones. The CP-odd invariants are valid for general potentials when expressed in a standard form. We then apply our results to scalar potentials involving three (or six) Higgs fields which form irreducible triplets under a discrete symmetry, including invariants for both explicit as well as spontaneous CP violation. The considered cases include one triplet of Standard Model (SM) gauge singlet scalars, one triplet of SM Higgs doublets, two triplets of SM singlets, and two triplets of SM Higgs doublets. For each case, we study the potential symmetric under one of the simplest discrete symmetries with irreducible triplet representations, namely A4, S4, ?(27) or ?(54), as well as the infinite classes of discrete symmetries ?(3n2) or ?(6n2).
1550-7998
1-32
De Medeiros Varzielas, Ivo
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
De Medeiros Varzielas, Ivo
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

De Medeiros Varzielas, Ivo, King, Stephen F., Luhn, Christoph and Neder, Thomas (2016) CP-odd invariants for multi-Higgs models: applications with discrete symmetry. Physical Review D, 94 (5), 1-32. (doi:10.1103/PhysRevD.94.056007).

Record type: Article

Abstract

CP-odd invariants provide a basis independent way of studying the CP properties of Lagrangians. We propose powerful methods for constructing basis invariants and determining whether they are CP odd or CP even, then systematically construct all of the simplest CP-odd invariants up to a given order, finding many new ones. The CP-odd invariants are valid for general potentials when expressed in a standard form. We then apply our results to scalar potentials involving three (or six) Higgs fields which form irreducible triplets under a discrete symmetry, including invariants for both explicit as well as spontaneous CP violation. The considered cases include one triplet of Standard Model (SM) gauge singlet scalars, one triplet of SM Higgs doublets, two triplets of SM singlets, and two triplets of SM Higgs doublets. For each case, we study the potential symmetric under one of the simplest discrete symmetries with irreducible triplet representations, namely A4, S4, ?(27) or ?(54), as well as the infinite classes of discrete symmetries ?(3n2) or ?(6n2).

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Accepted/In Press date: 1 September 2016
e-pub ahead of print date: 20 September 2016
Published date: 20 September 2016
Organisations: Theoretical Partical Physics Group

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Local EPrints ID: 404302
URI: http://eprints.soton.ac.uk/id/eprint/404302
ISSN: 1550-7998
PURE UUID: 208a4ed9-5d49-4dc7-819f-38384160ede2

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Date deposited: 05 Jan 2017 14:26
Last modified: 06 Oct 2020 18:49

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