Fragmentation functions of the pion, kaon, and proton in the NLO approximation: Laplace transform approach

TL;DR

This paper presents an analytical method using Laplace transforms to solve NLO DGLAP equations for pion, kaon, and proton fragmentation functions, including symmetry breaking effects, with results aligning well with experimental data.

Contribution

It introduces a novel Laplace transform approach to analytically solve NLO evolution equations for fragmentation functions, accounting for sea quark symmetry breaking.

Findings

Analytical solutions for FFs at NLO using Laplace transforms.

Good agreement with experimental data and global fits.

Inclusion of sea quark symmetry breaking effects.

Abstract

Using repeated Laplace transform, We find an analytical solution for DGLAP evolution equations for extracting the pion, kaon and proton Fragmentation Functions (FFs) at NLO approximation. We also study the symmetry breaking of the sea quarks Fragmentation Functions, $D_{\bar q}^h (z,Q^2)$ and simply separated them according to their mass ratio. Finally, we calculate the total Fragmentation Functions of these hadrons and compare them with experimental data and those from global fits. Our results show a good agreement with the FFs obtained from global parameterizations as well as with the experimental data.