Iterated integrals over letters induced by quadratic forms

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Physical review

سال: 2021

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physrevd.103.096025