Correlation of $h\rightarrow\gamma\gamma$ and $Z\gamma$ in Type-II seesaw neutrino model

We study the charged scalar contributions to the Higgs decay channels of $h\rightarrow \gamma\gamma$ and $h\rightarrow Z\gamma$ in the Type-II seesaw neutrino model. In most of the allowed parameter space in the model, the new contribution to $h\rightarrow Z\gamma$ is positively correlated with that to $h\rightarrow\gamma\gamma$. If the current excess of the $h\rightarrow \gamma\gamma$ rate measured by the ATLAS Collaboration persists, the $h\rightarrow Z\gamma$ rate should be also larger than the corresponding standard model prediction. We demonstrate that the anti-correlation between $h\rightarrow\gamma\gamma$ and $h\rightarrow Z\gamma$ only exists in some special region.