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CP-symmetry of order 4: model-building and phenomenology

2017
4 pages
Contribution to:
  • Published: 2017
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Abstract: (Grobid)
We present a multi-Higgs model dubbed CP4 3HDM which, remarkably, combines the min-imality in its assumptions with phenomenological richness and predictivity. It is based on a single assumption: the minimal multi-Higgs model to incorporate CP-symmetry of order 4 (CP4) without producing accidental symmetries. It leads to a unique three-doublet model with a constrained scalar potential which can be worked out analytically. We describe two versions of this model: (i) when two extra doublets are inert, CP4 is conserved and leads to a pair of scalar DM candidates with peculiar properties, and (ii) when CP4 is extended to the Yukawa sector, leading to a few very restricted cases, which can, nevertheless, accommodate all fermion masses, mixing, and CP-violation. 1 Building bSM models: balancing between the two extremes Many aspects of the Standard Model (SM) leave theorists unsatisfied, including absence of dark matter (DM) candidates, its ignorance of the origin of neutrino masses 1 and of CP-violation (CPV) 2 , as well as quark and lepton mass and mixing hierarchies. These difficulties arise partly due to the very minimalistic Higgs sector used in the SM, and this is why many models beyond the SM (bSM) are based on extended Higgs sectors 3,4. When building such models, one often tries to balance two requirements: keeping as few extra assumptions as possible and producing a model well compatible with experiment and sufficiently predictive to be tested in near future. One wants to avoid two extreme cases: when one manages to describe all data at the expense of excessively many new fields and assumptions, and the case when one produces a neat compact bSM model with very few assumptions, which fails when compared to the real world. A popular way to try to keep this balance is to constrain interactions with extra global discrete symmetries 5,1. For example, a typical N -Higgs-doublet model (NHDM) has hundreds of free parameters in the scalar and Yukawa sectors. Imposing large non-abelian discrete symmetry groups reduces this number to about a dozen, making the model highly predictive. It turns out, however, that such models almost unavoidably lead to non-physical fermion sectors 6 : for sufficiently large groups, there always remains some flavor symmetry in the vacuum, which either leads to massless or mass-degenerate fermions, or produces insufficient mixing or CPV. On the other hand, imposing smaller symmetry groups such as Z 2 can lead to a good experimental fit
  • CP: violation
  • Higgs mechanism
  • Higgs model
  • dark matter: scalar
  • symmetry: flavor
  • neutrino: mass
  • lepton: mass
  • mixing
  • hierarchy
  • symmetry: Z(2)