Virtual Photon Structure Functions to NNLO in QCD

Abstract

The unpolarized virtual photon structure functions $F_2^γ(x,Q^2,P^2)$ and $F_L^γ(x,Q^2,P^2)$ are investigated in perturbative QCD for the kinematical region $Λ^2 \ll P^2 \ll Q^2$, where $-Q^2(-P^2)$ is the mass squared of the probe (target) photon and $Λ$ is the QCD scale parameter. In the framework of operator product expansion supplemented by the renormalization group method, the definite predictions are derived for the moments of $F_2^γ(x,Q^2,P^2)$ up to the next-to-next-to-leading order (the order $αα_s$) and for the moments of $F_L^γ(x,Q^2,P^2)$ up to the next-to-leading order (the order $αα_s$)

4 pages, 3 figures, uses photon2007.cls, Proceedings of Photon 2007 (Paris)