Azimuthal and spin asymmetries in $e^+e^-\to V \pi X$ at high energies and 3D fragmentation functions

TL;DR

This paper analyzes azimuthal and spin asymmetries in high-energy electron-positron collisions producing vector mesons and pions, using 3D fragmentation functions to understand the spin-dependent structure of hadronization.

Contribution

It provides a comprehensive decomposition of 3D fragmentation functions for spin-1 hadrons and applies this to analyze azimuthal and spin asymmetries in $e^+e^- o V \pi X$ processes, including numerical predictions.

Findings

81 independent structure functions describe the cross section.

Results express azimuthal and spin asymmetries in terms of 3D FFs.

Numerical predictions for hadron polarization and energy dependence.

Abstract

We present the systematical decomposition results of three-dimensional (3D) fragmentation functions (FFs) from parton correlators for spin-1 hadron. We choose one of the best process $e^+e^-\to V\pi X$ to study the 3D and tensor polarization dependent FFs. By making a general kinematic analysis we show that the cross section is expressed by 81 independent structure functions, and get the results of the azimuthal and spin asymmetries. We also present the parton model results for this process and express the results in terms of the 3D FFs. Based on this formalism, we also give the numerical results of hadron longitudinal polarizations and predict the energy dependence.