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Parton distributions in the virtual photon target are investigated in perturbative QCD up to the next-to-next-to-leading order (NNLO). In the case Λ2 P2 Q2, where Q2 ( P2) is the mass squared of the probe (target) photon, parton distributions are predicted completely up to the NNLO, but they are factorization-scheme-dependent. We analyze parton distributions in two different factorization schemes, namely MS and DISγ schemes, and discuss their scheme dependence. We show that the factorization-scheme dependence is characterized by the large-x behaviors of quark distributions in the virtual photon. Gluon distribution is predicted to be very small in absolute value except in the small-x region.

Parton distributions in the virtual photon up to NNLO in QCD and factorization scheme dependence