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We investigate the one-gluon-exchange ($\alpha \alpha_s$) corrections to thepolarized real photon structure function $g_1^\gamma(x,Q^2)$ in the massiveparton model. We employ a technique based on the Cutkosky rules and thereduction of Feynman integrals to master integrals. The NLO contribution isnoticeable at large $x$ and does not vanish at the threshold of the massivequark pair production due to the Coulomb singularity. It is found that thefirst moment sum rule of $g_1^\gamma$ is satisfied up to the NLO.

The polarized photon structure function $g_1^\gamma(x,Q^2)$ in massive parton model in NLO