CMS results for the $\gamma \gamma$ production at the LHC: do they give a hint for a Higgs boson of the maximally CP symmetric two-Higgs-doublet model?
Recent measurements of the CMS experiment at the LHC show possibly, with about $3\sigma$ significance, a resonance in di-photon events with an invariant mass of 95.4 GeV. If this resonance can be confirmed, this could be a hint for a new elementary particle beyond the Standard Model. An additional Standard-model like Higgs boson with this mass could be excluded by the CMS experiment. We investigate whether this resonance could fit into a two-Higgs doublet model highly constrained by CP symmetry, the so-called maximally-CP-symmetric model (MCPM). Our finding shows that indeed the enhancement measured by CMS could originate from the pseudoscalar Higgs-boson $h''$ of this model. According to the model the boson $h''$ would mainly be produced in the Drell-Yan reaction by charm-anticharm-quark fusion. The main decay mode of $h''$ is predicted to be $h'' \to c\bar{c}$.