The quark-jet contribution to the fragmentation functions for the pion and kaon with the nonlocal interactions

TL;DR

This paper models the quark-jet contribution to pion and kaon fragmentation functions using a nonlocal chiral-quark model, incorporating flavor symmetry breaking and evolving results to higher energy scales, showing good agreement with empirical data.

Contribution

It introduces a nonlocal chiral-quark model to calculate fragmentation functions, including flavor symmetry breaking and QCD evolution, providing improved theoretical predictions.

Findings

Results agree well with empirical parametrizations.

Model captures flavor SU(3) symmetry breaking effects.

Fragmentation functions are consistent with other theoretical estimations.

Abstract

We investigate the unpolarized pion and kaon fragmentation functions using the nonlocal chiral-quark model. In this model the interactions between the quarks and pseudoscalar mesons is manifested nonlocally. In addition, the explicit flavor SU(3) symmetry breaking effect is taken into account in terms of the current quark masses. The results of our model are evaluated to higher $Q^2$ value $Q^2=4\,\mathrm{GeV}^2$ by the DGLAP evolution. Then we compare them with the empirical parametrizations. We find that our results are in relatively good agreement with the empirical parametrizations and the other theoretical estimations.