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

## TL;DR

This paper evaluates the impact of initial state radiation corrections on the measurement of the $e^+e^- o ZH$ cross section at future colliders and proposes data-taking schemes to improve correction accuracy.

## Contribution

It introduces a method to evaluate the uncertainty of radiative corrections and proposes data-taking schemes to enhance the precision of the $e^+e^- o ZH$ cross section measurement.

## Key findings

- Uncertainty in radiative correction factors affects $ZH$ cross section measurement.
- Proposed data-taking schemes can improve the precision of ISR correction calculations.
- The work supports achieving 0.5% measurement precision at future colliders.

## 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.