The real photon structure functions in massive parton model in NLO

We investigate the one-gluon-exchange ($αα_s$) corrections to the real photon structure functions $W_{TT}$, $W_{LT}$, $W_{TT}^{a}$ and $W_{TT}^τ$ in the massive parton model. We employ a technique based on the Cutkosky rules and the reduction of Feynman integrals to master integrals. We show that a positivity constraint, which is derived from the Cauchy-Schwarz inequality, is satisfied among the unpolarized and polarized structure functions $W_{TT}$, $W_{TT}^a$ and $W_{TT}^τ$ calculated up to the next-to-leading order in QCD.

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