  We extend QCD sum rule analysis to moderate energy fixed angle Compton
scattering. In this kinematic region there is a strong similarity to the sum
rule treatment of electromagnetic form factors, although the four-point
amplitude requires a modification of the Borel transform. To illustrate our
method, we derive the sum rules for helicity amplitudes in pion Compton
scattering and estimate their large-$t$ behavior in the local duality
approximation.
