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Direct Solution of Integration-by-Parts Systems · Around

2018

Direct Solution of Integration-by-Parts Systems

Kosower, David A.

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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.
I 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, I show how to obtain reduction equations for arbitrary powers of irreducible invariants, along with their solutions.

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