$\Lambda$ polarizing fragmentation function from Belle $e^+e^-$ data

TL;DR

This paper extracts the $$ polarizing fragmentation function from Belle $e^+e^-$ data using a TMD approach, providing insights into flavor separation and predictions for SIDIS processes at the EIC.

Contribution

It introduces a method to extract the $$ polarizing fragmentation function from experimental data, achieving flavor separation and making predictions for future SIDIS experiments.

Findings

Successful extraction of four independent FFs with flavor separation.

Consistent description of associated and inclusive $$ production data.

Predictions for SIDIS processes at the EIC to test universality and evolution.

Abstract

Experimental data from Belle Collaboration for the transverse polarization of $\Lambda$'s measured in $e^+ e^-$ annihilation processes are used to extract the polarizing fragmentation function (FF) within a TMD approach. We consider both associated and inclusive $\Lambda$ production, showing a quite consistent scenario. Good separation in flavor is obtained, leading to four independent FFs. Predictions for SIDIS processes at the EIC, crucial for understanding their universality and evolution properties, are also presented.