Transverse $\Lambda$ polarization in $e^{+}{e}^{-}$ annihilations and in SIDIS processes at the EIC within TMD factorization

Abstract

We present a phenomenological study on the role of charm contribution and $SU(2)$ isospin symmetry in the extraction of the $\Lambda$ polarizing fragmentation functions from $e^{+}{e}^{-}\to {\Lambda }^{\uparrow }({\bar{\Lambda }}^{\uparrow })h+X$ annihilation processes. We adopt the well-established transverse-momentum-dependent factorization formalism, within the Collins-Soper-Sterman evolution scheme at next-to-leading logarithm accuracy, carefully exploiting the role of the nonperturbative component of the polarizing fragmentation function. We then discuss the impact of these results on the predictions for transverse $\Lambda$, $\bar{\Lambda }$ polarization in semi-inclusive deep inelastic scattering processes at typical energies of the future Electron-Ion Collider.

Comments: 22 pages, 10 figures