General Helicity Formalism for Two-hadron Production in $e^{+}{e}^{-}$ Collisions and the $\Lambda$ Polarizing Fragmentation Function

Abstract

We present the complete structure of the azimuthal dependences and polarization observables for two-hadron production in $e^{+}{e}^{-}$ annihilation processes within a transverse momentum dependent (TMD) approach adopting the helicity formalism. The leading-twist TMD fragmentation functions (TMD-FFs) for spin-1/2 hadrons are fully accounted for. The role of the polarizing FF, together with its extraction from Belle data for the transverse polarization of $\Lambda$'s, are discussed as well. Finally, predictions for SIDIS processes at EIC are presented.

arXiv comment5 pages, 3 figures (8 plots), presented by U. D'Alesio at the 24th International Spin Symposium (SPIN2021), 18-22 October 2021, Matsue, Japan

References in corpus (6)

• Asymmetries in polarized hadron production in e^+e^- annihilation up to order 1/Q
• Observation of Transverse $\Lambda /\bar{\Lambda }$ Hyperon Polarization in $e^{+}{e}^{-}$ Annihilation at Belle
• Polarized hadron pair production from electron-positron annihilation
• Extracting the Transverse Momentum Dependent Polarizing Fragmentation Functions
• First extraction of the $\Lambda$ polarising fragmentation function from Belle $e^{+}{e}^{-}$ data
• General helicity formalism for two-hadron production in $e^{+}{e}^{-}$ annihilation within a TMD approach