Photon-Parton Splitting Functions at the Next-to-Next-to-Leading Order of QCD

Abstract

We have calculated the splitting functions governing the evolution of the unpolarized parton distributions of the photon at the next-to-next-to-leading order (NNLO) of massless perturbative QCD. The results, presented here mainly in terms of compact and accurate parametrizations, are consistent with our previous approximations based on the lowest six even-integer Mellin moments. Consequently the NNLO corrections are small in both the MSbar and the DIS_gamma factorization schemes at momentum fractions x >~ 0.1.

arXiv comment4 pages, LaTeX, 2 eps-figures. Uses modification appbav.cls (included) of the appolb.cls style. Presented by A.V. at PHOTON 2005, Warsaw, August/September 2005

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