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arXiv · 2103.08330

Iterated integrals over letters induced by quadratic forms

J. Ablinger·J. Blümlein·C. Schneider
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Abstract

An automated treatment of iterated integrals based on letters induced by real-valued quadratic forms and Kummer--Poincar\'e letters is presented. These quantities emerge in analytic single and multi--scale Feynman diagram calculations. To compactify representations, one wishes to apply general properties of these quantities in computer-algebraic implementations. We provide the reduction to basis representations, expansions, analytic continuation and numerical evaluation of these quantities.

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J. Ablinger, J. Blümlein, C. Schneider. 2021-03-15. Iterated integrals over letters induced by quadratic forms. https://doi.org/10.1103/physrevd.103.096025

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