Sum rules of polarized photon structure functions revisited: NNLO corrections to the first moment of g(1)**gamma (x,Q2,P2)

Apr, 2006

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Abstract:
We present the next-to-next-to-leading order (ααs2\alpha \alpha_s^2) corrections to the first moment of the polarized virtual photon structure function g1γ(x,Q2,P2)g_1^\gamma(x,Q^2,P^2) in the kinematical region Q2P2Λ2Q^2\gg P^2 \gg \Lambda^2 in QCD. We find that the ααs2\alpha \alpha_s^2 corrections are about 3% of the sum of the leading (α\alpha) and the next-to-leading (ααs\alpha\alpha_s) contributions, when Q2=30100GeV2Q^2=30\sim 100 {\rm GeV}^2 and P2=3GeV2P^2=3 {\rm GeV}^2.
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