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Sum rules of polarized photon structure functions revisited-- NNLO corrections to the first moment of $g_1^γ(x,Q^2,P^2)$ --

T. Ueda·T. Uematsu·K. Sasaki
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Abstract

We present the next-to-next-to-leading order ($αα_s^2$) corrections to the first moment of the polarized virtual photon structure function $g_1^γ(x,Q^2,P^2)$ in the kinematical region $Q^2\gg P^2 \gg Λ^2$ in QCD. We find that the $αα_s^2$ corrections are about 3% of the sum of the leading ($α$) and the next-to-leading ($αα_s$) contributions, when $Q^2=30\sim 100 {\rm GeV}^2$ and $P^2=3 {\rm GeV}^2$.

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T. Ueda, T. Uematsu, K. Sasaki. 2006-04-21. Sum rules of polarized photon structure functions revisited-- NNLO corrections to the first moment of $g_1^γ(x,Q^2,P^2)$ --. https://arxiv.org/abs/hep-ph/0604181

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