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arXiv · 1203.0291

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

Pierpaolo Mastrolia·Edoardo Mirabella·Tiziano Peraro
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Abstract

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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Pierpaolo Mastrolia, Edoardo Mirabella, Tiziano Peraro. 2012-03-01. Integrand reduction of one-loop scattering amplitudes through Laurent series expansion. https://doi.org/10.1007/jhep06(2012)095

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