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We investigate the Sivers asymmetry in the pion-induced single polarizedDrell-Yan process in the theoretical framework of the transverse momentumdependent factorization up to next-to-leading logarithmic order of QCD. Withinthe TMD evolution formalism of parton distribution functions, the recentlyextracted nonperturbative Sudakov form factor for the pion distributionfunctions as well as the one for the Sivers function of the proton are appliedto numerically estimate the Sivers asymmetry in the $\pi^- p$ Drell-Yan at thekinematics of the COMPASS at CERN. In the low $b$ region, the Sivers functionin $b$-space can be expressed as the convolution of the perturbativelycalculable hard coefficients and the corresponding collinear correlationfunction, of which the Qiu-Sterman function is the most relevant one. Theeffect of the energy-scale dependence of the Qiu-Sterman function to theasymmetry is also studied. We find that our prediction on the Siversasymmetries as functions of $x_p$, $x_\pi$, $x_F$ and $q_\perp$ is consistentwith the recent COMPASS measurement.

Sivers Asymmetry in the pion induced Drell-Yan process at COMPASS within TMD factorization