Construction of the Global $\chi^2$ Function for the Simultaneous Fitting of Correlated Energy-Dependent Cross Sections

TL;DR

This paper develops a comprehensive global chi-squared function to simultaneously fit correlated energy-dependent cross sections, accounting for various measurement uncertainties and correlations across different processes and energy points.

Contribution

It introduces a novel method for constructing a global chi-squared function that includes correlations and systematic uncertainties in cross section data fitting.

Findings

Enables more accurate simultaneous fitting of cross sections

Incorporates correlations between different measurements

Improves the reliability of parameter extraction from experimental data

Abstract

In this paper, the global $\chi^2$ function for the simultaneous fitting of correlated energy-dependent cross sections is constructed, where the correlations between the measured cross sections of different processes and/or at different center-of-mass energy points, as well as the contributions from the integrated luminosity measurement and the center-of-mass energy measurement, are taken into account.