A new type of CP symmetry, family replication and fermion mass hierarchies

Details A new type of CP symmetry, family replication and fermion mass hierarchies A new type of CP symmetry, family replication and fermion mass hierarchies

2007-11-23

arxiv.org/abs/0711.3760v2

Eur.Phys.J.C57:739-762,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages. Version published in EPJC. Minor changes as suggested by the referee

Scientific paper

10.1140/epjc/s10052-008-0726-z

We study a two-Higgs-doublet model with four generalised CP symmetries in the scalar sector. Electroweak symmetry breaking leads automatically to spontaneous breaking of two of them. We require that these four CP symmetries can be extended from the scalar sector to the full Lagrangian and call this requirement the principle of maximal CP invariance. The Yukawa interactions of the fermions are severely restricted by this requirement. In particular, a single fermion family cannot be coupled to the Higgs fields. For two fermion families, however, this is possible. Enforcing the absence of flavour-changing neutral currents, we find degenerate masses in both families or one family massless and one massive. In the latter case the Lagrangian is highly symmetric, with the mass hierarchy being generated by electroweak symmetry breaking. Adding a third family uncoupled to the Higgs fields and thus keeping it massless we get a model which gives a rough approximation of some features of the fermions observed in Nature. We discuss a number of predictions of the model which may be checked in future experiments at the LHC.

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