Two-loop amplitudes with nested sums: Fermionic contributions to e+ e- --> q qbar g

Details Two-loop amplitudes with nested sums: Fermionic contributions to e+ e- --> q qbar g Two-loop amplitudes with nested sums: Fermionic contributions to e+ e- --> q qbar g

2002-07-03

arxiv.org/abs/hep-ph/0207043v1

Phys.Rev.D66:114001,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

31 pages, a file "coefficients.h" with the results in FORM format is included

Scientific paper

10.1103/PhysRevD.66.114001

We present the calculation of the nf-contributions to the two-loop amplitude for e+ e- --> q qbar g and give results for the full one-loop amplitude to order eps^2 in the dimensional regularization parameter. Our results agree with those recently obtained by Garland et al.. The calculation makes extensive use of an efficient method based on nested sums to calculate two-loop integrals with arbitrary powers of the propagators. The use of nested sums leads in a natural way to multiple polylogarithms with simple arguments, which allow a straightforward analytic continuation.

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