  We prove that regulating infrared divergencies generates power (~1/(Q^2)^k)
corrections to the spin structure function g_1 at small x and large Q^2. At the
same time it leads to the corrections ~(Q^2)^k at small Q^2. 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.
