\begin{document}$\sigma(e^{+} e^{-} \to ZH)\times {\rm Br}(H \to \gamma \gamma)$\end{document} in three Z decay channels \begin{document}$ Z \to q \bar{q}/ {\mu ^ + }{\mu ^ - }/ \nu \bar \nu $\end{document} using the baseline detector with \begin{document}$\sqrt{s} = 240$\end{document}GeV at the Circular Electron Positron Collider (CEPC). Simulated Monte Carlo events were generated and scaled to an integrated luminosity of 5.6 ab–1 to mimic the data. Extrapolated results to 20 ab–1 are also reported. The expected statistical precision of these measurements after combining three channels of Z boson decay was 7.7%. With some preliminary estimation on the systematical uncertainties, the total precision is 7.9%. The performance of the CEPC electro-magnetic calorimeter (ECAL) was studied by smearing the photon energy resolution in simulated events in the \begin{document}$e^{+} e^{-} \to ZH \to q\bar q\gamma \gamma $\end{document} channel. In the present ECAL design, the stochastic term in resolution plays the dominant role in the precision of Higgs measurements in the \begin{document}$H \to \gamma \gamma $\end{document} channel. The impact of the resolution on the measured precision of \begin{document}$\sigma(ZH)\times {\rm Br}(ZH \to q\bar q\gamma \gamma)$\end{document} as well as the optimization of the ECAL constant and stochastic terms were studied for further detector design."> Expected measurement precision of the branching ratio of the Higgs boson decaying to the di-photon at the CEPC -
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