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

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

2006-04-21

arxiv.org/abs/hep-ph/0604181v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 1 eps figure, espcrc2.sty file included, Talk given at RADCOR2005, Shonan Village, Japan, October 2-7, 2005, to appea

Scientific paper

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

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