  In this paper we study the single spin asymmetry
$A_{UT}^{\sin(\phi_h-\phi_S)}$ of a single hadron production in semi-inclusive
deep inelastic scattering (SIDIS) within the framework of transverse momentum
dependent (TMD) factorization up to next-to-leading logarithmic (NLL) order of
QCD. The asymmetry is contributed by the convolution of the Sivers function and
the unpolarized fragmentation function. Specifically, the Sivers function in
the coordinate space and perturbative region can be represented as 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 $P_{h\perp}$-dependent asymmetries are basically
consistent with the HERMES and the COMPASS measurements.
