The Higgs decay rate to two photons in a model with two fermiophobic-Higgs doublets

Abstract

We consider a three Higgs doublet model with an $S_3$ symmetry in which beside the SM-like doublet there are two fermiophobic doublets. Due to the new charged scalars there is an enhancement in the two-photon decay while the other channels have the same decay widths that the SM neutral Higgs. The fermiophobic scalars are mass degenerated unless soft terms breaking the $S_3$ symmetry are added.

Comments: typos were corrected, the figures have been modified and the conclusions were increased. Still contains 15 pages, 2 figures