3HDM with $\Delta (27)$ symmetry and its phenomenological consequences

Abstract

We perform a comprehensive analysis of a version of the 3-Higgs doublet model whose scalar potential is invariant under a global $\Delta (27)$ 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 $b\to s\gamma$. We show that perturbative unitarity significantly constrains parameters of the model while, conversely, the beyond the Standard Model contributions to the $b\to s\gamma$ decay are automatically tamed by the symmetry.

27 pages, 3 figures; version published in JHEP

References in corpus (8)

• Automatic Calculation of supersymmetric Renormalization Group Equations and Self Energies
• SARAH 3.2: Dirac Gauginos, UFO output, and more
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• Symmetry breaking patterns in 3HDM
• Scotogenic $Z_2$ or $U(1{)}_D$ Model of Neutrino Mass with $\Delta (27)$ Symmetry
• Symmetries of symmetries and geometrical CP violation
• Maximally Symmetric Three Higgs Doublet Model
• Deviations from Tribimaximal Neutrino Mixing using a Model with $\Delta (27)$ Symmetry