$h \rightarrow \gamma \gamma$ in $U(1)_{R}-$ lepton number model with a right-handed neutrino

Understand

We perform a detailed study of the signal rate of the lightest Higgs boson in the diphoton channel ($\mu_{\gamma \gamma}$), recently analyzed by both the ATLAS and CMS collaborations at the Large Hadron Collider, in the framework of $U(1)_R-$ lepton number model with a right handed neutrino superfield.

• The corresponding neutrino Yukawa coupling, `$f$', plays a very important role in the phenomenology of this model.
• A large value of $f\sim\mathcal O(1)$ provides an additional tree level contribution to the lightest Higgs boson mass along with a very light (mass $\sim$ a few hundred MeV) bino like neutralino and a small tree level mass of one of the active neutrinos that is compatible with various experimental results.
• In the presence of this light neutralino, the invisible decay width of the Higgs boson can become important.