Mainz 2004 – scientific programme
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T: Teilchenphysik
T 207: QCD II
T 207.4: Talk
Tuesday, March 30, 2004, 14:45–15:00, RW 5
Expansion of scalar one-loop integrals to O(ε2) — •Mikhail Rogal, Juergen G. Koerner, and Zakaria Merebashvili — Institut fuer Physik (ThEP), 55099 Mainz, Germany
I calculate the Laurent series expansion up to O(ε2) for all scalar one-loop one-, two-, three- and four-point integrals that are needed in the calculation of hadronic heavy flavour production. The Laurent series up to O(ε2) is needed as input to that part of the NNLO corrections to heavy hadron production at hadron colliders where the one-loop integrals appear in the loop-by-loop contributions. The four-point integrals are the most complicated. The O(ε2) expansion of the four-point integrals contains polylogarithms up to Li4 and multiple polylogarithms.