Power corrections and renormalons in deep inelastic structure functions

We study the power corrections (infrared renormalon contributions) to the coefficient functions for non-singlet deep inelastic structure functions due to gluon vacuum polarization insertions in one-loop graphs. Remarkably, for all the structure functions F1, F2, F3 and g1, there are only two such contributions, corresponding to 1Q2 and 1Q4 power corrections. We compute their dependence on Bjorken x. The results could be used to model the dominant higher-twist contributions.