Initial state radiation correction and its effect to data-taking scheme for $σ^{\mathrm{B}}(e^+e^-\to ZH)$ measurement

Abstract: The measurement of Born cross section of $e^+e^-\to ZH$ process is one of the major goals of the future Circular Electron Positron Collider, which may reach a precision of 0.5%. Such unprecedented precision must be guaranteed by both theoretical and experimental sides, such as the calculations of high order corrections, the knowledge of the $\sigma^{\mathrm{B}}(e^+e^-\to ZH)$ line shape. The uncertainty of radiative correction factor due to lack of knowledge of the $\sigma^{\mathrm{B}}(e^+e^-\to ZH)$ line shape is evaluated in this work. Therefore, the dedicated data-taking schemes are proposed in order to precisely calculate the ISR correction factor.