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Two decay channels $h\rightarrow \gamma \gamma, Z\gamma$ of the StandardModel-like Higgs in a left-right symmetry model are investigated under recentexperimental data. We will show there exist one-loop contributions that affectthe $h\rightarrow Z\gamma$ amplitude, but not the $h\rightarrow \gamma\gamma$amplitude. From numerical investigations, we show that the signal strength$\mu_{Z \gamma}$ of the decay $h\rightarrow Z\gamma$ is still constrainedstrictly by that of $h\rightarrow \gamma\gamma$, namely $|\Delta \mu_{\gamma\gamma}|<38\%$ results in max $|\Delta \mu_{Z \gamma}|<40\%$. On the otherhand, the future experimental sensitivity $|\Delta \mu_{\gamma \gamma}|=4\%$still allows $|\Delta \mu_{Z \gamma}|$ reaches to values of $30\%$, which arelarger than the expected sensitivity that $|\Delta \mu_{Z \gamma}|=23\%$.

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