Custodial SO(4) symmetry and CP violation in N-Higgs-doublet potentials

Journal Article · Sun May 01 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.095005· OSTI ID:21541633

Nishi, C C ^[1]

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1. Universidade Federal do ABC - UFABC, Rua Santa Adelia, 166, 09.210-170, Santo Andre, SP (Brazil)

We study the implementation of global SO(4){approx}SU(2){sub L} x SU(2){sub R} symmetry in general potentials with N-Higgs-doublets in order to obtain models with custodial SO(3){sub C} symmetry. We conclude that any implementation of the custodial SO(4) symmetry is equivalent, by a basis transformation, to a canonical one if SU(2){sub L} is the gauge factor, U(1){sub Y} is embedded in SU(2){sub R}, and we require N copies of the doublet representation of SU(2){sub R}. The invariance by SO(4) automatically leads to a CP-invariant potential and the basis of the canonical implementation of SO(4) is aligned to a basis where CP symmetry acts in the standard fashion. We show different but equivalent implementations for the 2-Higgs-doublets model, including an implementation not previously considered.

• OSTI ID: 21541633
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CP INVARIANCE
GAUGE INVARIANCE
HIGGS MODEL
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
SO GROUPS
SO-3 GROUPS
SO-4 GROUPS
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY GROUPS
TRANSFORMATIONS
U GROUPS
U-1 GROUPS