At very high energy and wide angles, Compton scattering on the proton (gamm
ap-gammap) is described by perturbative QCD. The perturbative QCD calculati
on has been performed several times previously, at leading twist and at rea
ding order in alpha (s), with mutually inconsistent results, even when the
same light-cone distribution amplitudes have been employed. We have recalcu
lated the helicity amplitudes for this process, using contour deformations
to evaluate the singular integrals over the light-cone momentum fractions.
We do not obtain complete agreement with any previous result. Our results a
re closest to those of the most recent previous computation, differing sign
ificantly for just one of the three independent helicity amplitudes, and on
ly for backward scattering angles. We present results for the unpolarized c
ross section, and for three different polarization asymmetries. We compare
the perturbative QCD predictions for these observables with those of the ha
ndbag and diquark models. In order to reduce uncertainties associated with
alpha (s) and the three-quark wave function normalization, we have normaliz
ed the Compton cross section using the proton elastic form factor. The theo
retical predictions for this ratio are about an order of magnitude below ex
isting experimental data.