Karlsruhe 2011 – wissenschaftliches Programm
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T: Fachverband Teilchenphysik
T 11: QCD (Theorie) II
T 11.4: Vortrag
Donnerstag, 31. März 2011, 17:30–17:45, 30.23: 10-1
O(TF2) Contributions to the Heavy Flavor DIS Wilson Coefficients at O(αs3) — Johannes Bluemlein1, Carsten Schneider2, and •Fabian Wissbrock1 — 1DESY Zeuthen — 2RISC Linz
The precise knowledge of the heavy flavor corrections to deep-inelastic scattering is instrumental for both the measurement of αs(MZ2) and the extraction of the parton densities to be used at the LHC. The current accuracy of the data requires next-to-next-to leading order corrections. In this talk we report on first results for the contributing 3-loop graphs, which contain two massive fermion lines (m1 ≠ m2; m1 = m2). For this calculation new summation technologies are developed and combined with efficient methods to establish and solve the corresponding difference equations. The results can be expressed in terms of harmonic sums, harmonic polylogarithms and generalizations thereof. The application of generalized hypergeometric function representations and their generalizations turns out to be essential in these calculations.