On the extraction of non-perturbative effects in the fragmentation functions of heavy quarks in e+ e- annihilation

TL;DR

This paper develops an improved method for calculating heavy quark fragmentation functions in e+e- annihilation by combining fixed-order and resummed calculations, and compares these with experimental data.

Contribution

It introduces a merged differential cross section that combines O(alpha_s^2) fixed-order and next-to-leading-logarithmic resummation for better accuracy.

Findings

The improved cross section provides a better fit to experimental data.

Resummation enhances the theoretical predictions for fragmentation functions.

Comparison shows the merged approach outperforms individual methods.

Abstract

In this talk, we consider the computation of D and B fragmentation functions in e+e- annihilation. We present an improved differential cross section that merges together the O(alpha_s^2) fixed-order calculation and the next-to-leading-logarithmic resummed one. We compare the results of fitting present data using the next-to-leading-log cross section, the O(alpha_s^2) fixed-order and the improved one.