3HDM with ∆(27) symmetry and its phenomenological consequences
J. Kalinowski (Faculty of Physics, University of Warsaw, Pasteura 5, Warsaw, 02-093, Poland, CERN, Theoretical Physics Department, Geneva, Switzerland); W. Kotlarski (Institut für Kern- und Teilchenphysik, TU Dresden, Zellescher Weg 19, Dresden, 01069, Germany, National Centre for Nuclear Research, Pasteura 7, Warsaw, 02-093, Poland); M. Rebelo (Centro de Física Teórica de Partículas, Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais 1, Lisboa, P-1049-001, Portugal); I. Medeiros Varzielas (Centro de Física Teórica de Partículas, Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais 1, Lisboa, P-1049-001, Portugal)
We perform a comprehensive analysis of a version of the 3-Higgs doublet model whose scalar potential is invariant under a global ∆(27) discrete symmetry and where the three scalar doublets are chosen to transform as a triplet under this discrete group. For each of the known tree-level minima we study the mass spectra and use the oblique parameters STU as well as perturbative unitarity to constrain the parameter space of the model. We then discuss phenomenological consequences of some leading order flavour mixing quark Yukawa couplings by considering the flavour violation process b → sγ.
