Third-order QCD results on form factors and coefficient functions

Abstract

We summarize recent higher-order QCD results based, directly or indirectly, on the Mellin-space computation of the next-to-next-to-leading-order splitting functions governing the evolution of hadronic parton distributions. Specifically, we briefly present third-order results for the coefficient functions in inclusive deep-inelastic scattering (including the structure function F_3 not published so far), the on-shell quark and gluon form factors, and the total cross section for Higgs production at hadron colliders.

7 pages, LaTeX, 4 figures. Presented by A.V. at 'Loops and Legs in Quantum Field Theory', April 2006, Eisenach (Germany)

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• Charged current deep-inelastic scattering at three loops
• General heavy-flavor mass scheme for charged-current DIS at NNLO and beyond
• High-energy neutrino deep inelastic scattering cross sections
• disorder: Deep inelastic scattering at high orders
• Benchmark of deep-inelastic-scattering structure functions at $\mathcal{O}({\alpha }_s^3)$
• CC DIS at alpha_s^3 in Mellin-N and Bjorken-x spaces
• A Mellin Space Program for W^{+/-} and Z^0 Production at NNLO