The Last of the Finite Loop Amplitudes in QCD

Details The Last of the Finite Loop Amplitudes in QCD The Last of the Finite Loop Amplitudes in QCD

2005-05-07

arxiv.org/abs/hep-ph/0505055v2

Phys.Rev.D72:125003,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

45 pages, revtex, 7 figures, v2 minor corrections

Scientific paper

10.1103/PhysRevD.72.125003

We use on-shell recursion relations to determine the one-loop QCD scattering amplitudes with a massless external quark pair and an arbitrary number (n-2) of positive-helicity gluons. These amplitudes are the last of the unknown infrared- and ultraviolet-finite loop amplitudes of QCD. The recursion relations are similar to ones applied at tree level, but contain new non-trivial features corresponding to poles present for complex momentum arguments but absent for real momenta. We present the relations and the compact solutions to them, valid for all n. We also present compact forms for the previously-computed one-loop n-gluon amplitudes with a single negative helicity and the rest positive helicity.

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