Transverse single spin asymmetry AUTsin(ϕh−ϕS) for single hadron production in semi-inclusive DIS

Abstract

In this paper, we study the single spin asymmetry ${A}_{UT}^{\mathrm{sin}({\ensuremath{\phi}}_{h}\ensuremath{-}{\ensuremath{\phi}}_{S})}$ of a single hadron production in semi-inclusive deep inelastic scattering within the framework of transverse momentum dependent factorization up to the next-to-leading logarithmic order of QCD. The asymmetry is a contribution of the convolution of the Sivers function and the unpolarized fragmentation function. Specifically, the Sivers function in the coordinate space and perturbative region can represent the convolution of the $C$ coefficients and the corresponding collinear correlation functions, among which the Qiu-Sterman function is the most relevant one. We perform a detailed phenomenological analysis of the Sivers asymmetry at the kinematics of the HERMES and the COMPASS measurements. It is found that the obtained ${x}_{B}$-, ${z}_{h}$-, and ${P}_{h\ensuremath{\perp}}$-dependent asymmetries are basically consistent with the HERMES and the COMPASS measurements.