Transforming differential equations of multi-loop Feynman integrals into canonical form
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Publication:680599
DOI10.1007/JHEP04(2017)006zbMATH Open1378.81064arXiv1611.01087MaRDI QIDQ680599
Author name not available (Why is that?)
Publication date: 23 January 2018
Published in: (Search for Journal in Brave)
Abstract: The method of differential equations has been proven to be a powerful tool for the computation of multi-loop Feynman integrals appearing in quantum field theory. It has been observed that in many instances a canonical basis can be chosen, which drastically simplifies the solution of the differential equation. In this paper, an algorithm is presented that computes the transformation to a canonical basis, starting from some basis that is, for instance, obtained by the usual integration-by-parts reduction techniques. The algorithm requires the existence of a rational transformation to a canonical basis, but is otherwise completely agnostic about the differential equation. In particular, it is applicable to problems involving multiple scales and allows for a rational dependence on the dimensional regulator. It is demonstrated that the algorithm is suitable for current multi-loop calculations by presenting its successful application to a number of non-trivial examples.
Full work available at URL: https://arxiv.org/abs/1611.01087
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