4.7 Article

Direct solution of integration-by-parts systems

Journal

PHYSICAL REVIEW D
Volume 98, Issue 2, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.98.025008

Keywords

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Funding

  1. French Agence Nationale pour la Recherche [ANR-17-CE31-0001-01]

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Systems of integration-by-parts identities play an important role in simplifying the higher-loop Feynman integrals that arise in quantum field theory. Solving these systems is equivalent to reducing integrals containing numerator products of irreducible invariants to a small set of master integrals. We present a new approach to solving these systems that finds direct reduction equations for numerator terms of a given Feynman integral. As a particular example of its power, we show how to obtain reduction equations for arbitrary powers of irreducible invariants, along with their solutions.

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