H→γγ in the inert Higgs doublet model

Motivated by the recent results from LHC on the di-photon search for a standard model (SM) Higgs-like boson, in this work we discuss the implications of this signal in the framework of the inert Higgs doublet model. Our analysis takes account of the previous limits from Higgs searches at LEP, the Tevatron, and the LHC. We have also considered the bounds coming from perturbativity, unitarity, vacuum stability, and electroweak precision tests. We show that the charged Higgs contributions can interfere constructively or destructively with the W gauge bosons' loops leading to enhancement or suppression of the di-photon rate with respect to the SM rate. We show also that the invisible decay of the Higgs, if open, could affect the total width of the SM Higgs boson and therefore suppress the di-photon rate. © 2012 American Physical Society.