Abstract
We present the next-to-next-to-leading order ( α α s 2 ) corrections to the first moment of the polarized virtual photon structure function gγ1 ( x , Q 2 , P 2 ) in the kinematical region Q 2 ≫ P 2 ≫ Λ 2 in QCD. We find that the α α s 2 corrections are about 3% of the sum of the leading (α) and the next-to-leading ( α α s ) contributions, when Q 2 = 30 ∼ 100 GeV 2 and P 2 = 3 GeV 2 .
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