The properties of C-parameter and coupling constants

TL;DR

This paper investigates the properties of the C-parameter, an event shape variable, and determines the QCD coupling constants using data fitted with dispersive and shape function models, confirming consistency with theoretical predictions.

Contribution

It provides a detailed analysis of the C-parameter and extracts coupling constants from experimental data using novel fitting approaches.

Findings

Coupling constants obtained are consistent with QCD predictions.

Dispersive and shape function models effectively fit the data.

Enhanced understanding of event shape variables in QCD.

Abstract

In this article, we present the properties of the C-parameter which is one of event shape variables. We obtain the coupling constants both in the perturbative and in the non-perturbative part of the QCD theory. To achieve this we fit the dispersive model as well as the shape function model with our data. Our results are consistent with the QCD predictions. We explain more features of our results in the main text.