Perturbative power Q^2-corrections to the structure function g(1)

We show that regulating infrared divergencies generates power (\sim 1/(Q^2)^k) corrections to the spin structure function g_1 at small x. We present the explicit series of such terms as well as the formulae for their resummation. These contributions are not included in the standard analysis of the experimental data. We argue that accounting for such terms can sizably change the impact of the other power corrections conventionally attributed to the higher twists