Mellin Moments of the Next-to-next-to Leading Order Coefficient Functions for the Drell-Yan Process and Hadronic Higgs-Boson Production

Abstract

We calculate the Mellin moments of the next-to-next-to leading order coefficient functions for the Drell--Yan and Higgs production cross sections. The results can be expressed in terms of multiple finite harmonic sums of maximal weight w = 4. Using algebraic and structural relations between harmonic sums one finds that besides the single harmonic sums only five basic sums and their derivatives w.r.t. the summation index contribute. This representation reduces the large complexity being present in x-space calculations and is well suited for fast numerical implementations.

47 pages LATEX, version appearing in journal

References in corpus (3)

• Two-loop corrections to Higgs boson production
• Mathematical Structure of Anomalous Dimensions and QCD Wilson Coefficients in Higher Order
• NNLO coefficient functions of Higgs and Drell--Yan cross sections in Mellin space

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