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

Linquan Shao, Haoyu Yan, Yingjun Chen, Jiaxin Pi, Xingyu Zhou

Abstract

In this paper, the global $χ^2$ 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.

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

Abstract

In this paper, the global 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.
Paper Structure (7 sections, 21 equations)

This paper contains 7 sections, 21 equations.

Table of Contents

  1. Introduction
  2. Construction of the global $\chi^2$ function
  3. Known conditions
  4. Method
  5. Derivation of the global covariance matrix elements
  6. Result
  7. Summary