6533b873fe1ef96bd12d565e

RESEARCH PRODUCT

Constraining multi-Higgs flavour models

Hugo SerôdioCelso C. NishiR. Gonzalez FelipeIgor P. IvanovIgor P. IvanovJoão P. Silva

subject

PhysicsQuarkCP ViolationParticle physicsMassesPhysics and Astronomy (miscellaneous)Group (mathematics)High Energy Physics::LatticeFlavourHigh Energy Physics::PhenomenologyFOS: Physical sciencesContext (language use)Discrete SymmetriesAnglesSymmetry (physics)Higgs sectorHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Physics and AstronomyHiggs bosonHigh Energy Physics::ExperimentBaryon numberEngineering (miscellaneous)

description

To study a flavour model with a non-minimal Higgs sector one must first define the symmetries of the fields; then identify what types of vacua exist and how they may break the symmetries; and finally determine whether the remnant symmetries are compatible with the experimental data. Here we address all these issues in the context of flavour models with any number of Higgs doublets. We stress the importance of analysing the Higgs vacuum expectation values that are pseudo-invariant under the generators of all subgroups. It is shown that the only way of obtaining a physical CKM mixing matrix and, simultaneously, non-degenerate and non-zero quark masses is requiring the vacuum expectation values of the Higgs fields to break completely the full flavour group, except possibly for some symmetry belonging to baryon number. The application of this technique to some illustrative examples, such as the flavour groups Delta(27), A4 and S3, is also presented.

10.1140/epjc/s10052-014-2953-9