  We present results for higher order perturbative corrections to Compton
scattering in the generalized Bjorken kinematics. The approach we have used is
based on the combination of two techniques: conformal operator product
expansion on the one side, and resummation of the fermion vacuum insertions
with consequent restoration of the full QCD beta-function via the naive
nonabelianization assumption, on the other. These are terms which are lost in
the former approach. Due to the presence of the infrared renormalon poles in
the Borel transform of the resummed amplitude the latter suffers from
ambiguities which reflect the asymptotic character of perturbation series. The
residues of these IR renormalon poles give an estimate for the size of power
corrections in deeply virtual Compton scattering.
