Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-01-19
Nucl.Phys.B716:128-172,2005
Physics
High Energy Physics
High Energy Physics - Phenomenology
47 pages LATEX, version appearing in journal
Scientific paper
10.1016/j.nuclphysb.2005.03.003
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.
Blümlein Johannes
Ravindran V.
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