sin(ϕΛ−ϕS) azimuthal asymmetry in transversely polarized Λ production in SIDIS within TMD factorization at the EIC

We investigate the $\mathrm{sin}({\ensuremath{\phi}}_{\mathrm{\ensuremath{\Lambda}}}\ensuremath{-}{\ensuremath{\phi}}_{S})$ single-spin asymmetry in transversely polarized $\mathrm{\ensuremath{\Lambda}}$ production semi-inclusive deeply inelastic scattering process within transverse momentum dependent (TMD) factorization. The is contributed by convolution of polarizing TMD fragmentation function ${D}_{1T}^{\ensuremath{\perp}}$ hyperon and unpolarized distribution ${f}_{1}$ proton target. adopt spectator diquark model result available parametrization for ${D}_{1T}^{\ensuremath{\perp},{\mathrm{\ensuremath{\Lambda}}}^{\ensuremath{\uparrow}}/q}$ to numerically estimate at kinematical region electron ion collider (EIC). To implement evolution formalism, we apply two different parametrizations on nonperturbative Sudakov form factors associated with $\mathrm{\ensuremath{\Lambda}}$. It found that sets lead asymmetry, particularly sign. also discuss impact assumptions approximations applied calculations, which may bring large uncertainties results EIC. Future measurements high precision EIC can provide important cross checks functions, as well constrain them more stringently.