Empirical estimate of the unpolarized dihadron fragmentation functions

TL;DR

This paper empirically estimates unpolarized dihadron fragmentation functions using a single-cascade jet algorithm, aligning well with experimental data and comparing favorably with theoretical models.

Contribution

It introduces a method to derive dihadron fragmentation functions from elementary functions using the single-cascade jet algorithm, validated against empirical data.

Findings

Elementary fragmentation functions closely match empirical parametrizations.

Generated dihadron functions agree with experimental and model results.

Method provides a new way to estimate dihadron fragmentation functions.

Abstract

We estimate the unpolarized dihadron fragmentation functions (uDiFFs) within the framework of the single-cascade jet algorithm. We first obtain the elementary fragmentation functions generating the single hadron fragmentation functions by using the single-cascade jet algorithm. These results are very close to the empirical parametrizations of the single hadron fragmentation functions which are extracted from the experimental data of the $e^+e^-$ annihiliation and semi-inclusive deeply inelastic scatterings (SIDIS). We then use those elementary fragmentation functions to generate the dihadron fragmentation functions by the help of the single-cascade jet algorithm again. The comparison between our empirical results with the results of the Nambu-Jona-Lasinio model and the non-local chiral quark model (NL$\chi$QM) is also presented.