One-loop corrections for polarized deep-inelastic Compton scattering

Complete one-loop corrections to large-transverse-momentum direct photon production by a polarized photon beam and polarized target are determined. A prescription for defining polarized quark and gluon density matrices within dimensional regularization is given. $K$ factors and polarization asymmetries are presented. It is shown that $\overrightarrow{\gamma }\overrightarrow{p}\to \gamma +X$, can be used to test our information on the polarized quark and gluon distributions.