Virtual Photon Structure Functions to NNLO in QCD

Abstract

The unpolarized virtual photon structure functions $F_2^{\gamma }(x,Q^2,P^2)$ and $F_L^{\gamma }(x,Q^2,P^2)$ are investigated in perturbative QCD for the kinematical region ${\Lambda }^2\ll P^2\ll Q^2$, where $-Q^2(-P^2)$ is the mass squared of the probe (target) photon and $\Lambda$ 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 $F_2^{\gamma }(x,Q^2,P^2)$ up to the next-to-next-to-leading order (the order $\alpha {\alpha }_s$) and for the moments of $F_L^{\gamma }(x,Q^2,P^2)$ up to the next-to-leading order (the order $\alpha {\alpha }_s$)

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

References in corpus (5)

• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• The Three-Loop Splitting Functions in QCD: The Singlet Case
• Two-loop operator matrix elements calculated up to finite terms
• Photon-Parton Splitting Functions at the Next-to-Next-to-Leading Order of QCD
• The Virtual Photon Structure to the Next-to-next-to-leading Order in QCD