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

Ueda, T.; Uematsu, T.; Sasaki, K.

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

Authors

Ueda, T.

Uematsu, T.

Sasaki, K.

Description

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 $P^2=3 {\rm GeV}^2$.
5 pages, 1 eps figure, espcrc2.sty file included, Talk given at RADCOR2005, Shonan Village, Japan, October 2-7, 2005, to appear in the Proceedings