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Integrand reduction of one-loop scattering amplitudes through Laurent series expansion

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arxiv 1203.0291 v3 pith:S6GHAGHL submitted 2012-03-01 hep-ph

classification hep-ph
keywords integrandlaurentamplitudesexpansionone-loopreductionapplicationasymptotic
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a semi-analytic method for the integrand reduction of one-loop amplitudes, based on the systematic application of the Laurent expansions to the integrand-decomposition. In the asymptotic limit, the coefficients of the master integrals are the solutions of a diagonal system of equations, properly corrected by counterterms whose parametric form is konwn a priori. The Laurent expansion of the integrand is implemented through polynomial division. The extension of the integrand-reduction to the case of numerators with rank larger than the number of propagators is discussed as well.

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Cited by 4 Pith papers

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