Decays of Standard Model like Higgs boson $h\to \gamma \gamma ,Z\gamma$ in a minimal left-right symmetric model

Two decay channels $h\to \gamma \gamma ,Z\gamma$ of the Standard Model-like Higgs in a left-right symmetry model are investigated under recent experimental data. We will show there exist one-loop contributions that affect the $h\to Z\gamma$ amplitude, but not the $h\to \gamma \gamma$ amplitude. From numerical investigations, we show that the signal strength ${\mu }_{Z\gamma }$ of the decay $h\to Z\gamma$ is still constrained strictly by that of $h\to \gamma \gamma$, namely $\mathrm{\mid }\mathrm{\Delta }{\mu }_{\gamma \gamma }\mathrm{\mid }<38\mathrm{\%}$ results in max $\mathrm{\mid }\mathrm{\Delta }{\mu }_{Z\gamma }\mathrm{\mid }<46\mathrm{\%}$. On the other hand, the future experimental sensitivity $\mathrm{\mid }\mathrm{\Delta }{\mu }_{\gamma \gamma }\mathrm{\mid }=4\mathrm{\%}$ still allows $\mathrm{\mid }\mathrm{\Delta }{\mu }_{Z\gamma }\mathrm{\mid }$ reaches to values larger than the expected sensitivity $\mathrm{\mid }\mathrm{\Delta }{\mu }_{Z\gamma }\mathrm{\mid }=23\mathrm{\%}$.