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

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Publication:1795692

DOI10.1007/JHEP06(2012)095zbMATH Open1397.81010arXiv1203.0291OpenAlexW3099046716MaRDI QIDQ1795692

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Publication date: 16 October 2018

Published in: (Search for Journal in Brave)

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.


Full work available at URL: https://arxiv.org/abs/1203.0291



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