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The third-order QCD corrections to deep-inelastic scattering by photon exchange

J. A. M. Vermaseren·A. Vogt·S. Moch
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Abstract

We compute the full three-loop coefficient functions for the structure functions F_2 and F_L in massless perturbative QCD. The results for F_L complete the next-to-next-to-leading order description of unpolarized electromagnetic deep-inelastic scattering. The third-order coefficient functions for F_2 form, at not too small values of the Bjorken variable x, the dominant part of the next-to-next-to-next-to-leading order corrections, thus facilitating improved determinations of the strong coupling alpha_s from scaling violations. The three-loop corrections to F_L are larger than those for F_2. Especially for the latter quantity the expansion in powers of alpha_s is very stable, for photon virtualities Q^2 >> 1 GeV^2, over the full x-range accessible to fixed-target and collider measurements.

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J. A. M. Vermaseren, A. Vogt, S. Moch. 2005-04-26. The third-order QCD corrections to deep-inelastic scattering by photon exchange. https://doi.org/10.1016/j.nuclphysb.2005.06.020

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