Recursive Calculation of One-Loop QCD Integral Coefficients

Details Recursive Calculation of One-Loop QCD Integral Coefficients Recursive Calculation of One-Loop QCD Integral Coefficients

2005-07-04

arxiv.org/abs/hep-ph/0507019v3

JHEP 0511 (2005) 027

Physics

High Energy Physics

High Energy Physics - Phenomenology

36 pages; v2 clarification added and typos fixed, v3 typos fixed

Scientific paper

10.1088/1126-6708/2005/11/027

We present a new procedure using on-shell recursion to determine coefficients of integral functions appearing in one-loop scattering amplitudes of gauge theories, including QCD. With this procedure, coefficients of integrals, including bubbles and triangles, can be determined without resorting to integration. We give criteria for avoiding spurious singularities and boundary terms that would invalidate the recursion. As an example where the criteria are satisfied, we obtain all cut-constructible contributions to the one-loop n-gluon scattering amplitude, A_n^{oneloop}(...--+++...), with split-helicity from an N=1 chiral multiplet and from a complex scalar. Using the supersymmetric decomposition, these are ingredients in the construction of QCD amplitudes with the same helicities. This method requires prior knowledge of amplitudes with sufficiently large numbers of legs as input. In many cases, these are already known in compact forms from the unitarity method.

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