The Higgs decay rate to two photons in a model with two   fermiophobic-Higgs doublets
  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. 
H. C\'ardenas, A. C. B. Machado, V. Pleitez and J.-Alexis Rodriguez
hep-ph