Stability of dark matter from the D4xZ2 flavor group

Abstract

We study a model based on the dihedral group D4 in which the dark matter is stabilized by the interplay between a remnant Z2 symmetry, of the same spontaneously broken non-abelian group, and an auxiliary Z2 introduced to eliminate unwanted couplings in the scalar potential. In the lepton sector the model is compatible with normal hierarchy only and predicts a vanishing reactor mixing angle. Since m1=0, we also have a simple prediction for the effective mass in terms of the solar angle. There also exists a large portion of the model parameter space where the upper bounds on lepton flavor violating processes are not violated. We incorporate quarks in the same scheme finding that a description of the CKM mixing matrix is possible and that semileptonic K and D decays mediated by flavour changing neutral currents are under control.

12 pages, model slightly modified adding one scalar field. Neutrino phenomenology unchanged, quark mixings in much better agreement with the data