On the integrand-reduction method for two-loop scattering amplitudes
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Publication:2261190
DOI10.1007/JHEP11(2011)014zbMATH Open1306.81357arXiv1107.6041MaRDI QIDQ2261190
Author name not available (Why is that?)
Publication date: 6 March 2015
Published in: (Search for Journal in Brave)
Abstract: We propose a first implementation of the integrand-reduction method for two-loop scattering amplitudes. We show that the residues of the amplitudes on multi-particle cuts are polynomials in the irreducible scalar products involving the loop momenta, and that the reduction of the amplitudes in terms of master integrals can be realized through polynomial fitting of the integrand, without any apriori knowledge of the integral basis. We discuss how the polynomial shapes of the residues determine the basis of master integrals appearing in the final result. We present a four-dimensional constructive algorithm that we apply to planar and non-planar contributions to the 4- and 5-point MHV amplitudes in N=4 SYM. The technique hereby discussed extends the well-established analogous method holding for one-loop amplitudes, and can be considered a preliminary study towards the systematic reduction at the integrand-level of two-loop amplitudes in any gauge theory, suitable for their automated semianalytic evaluation.
Full work available at URL: https://arxiv.org/abs/1107.6041
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