FIRE4, LiteRed and accompanying tools to solve integration by parts relations

Abstract

New features of the Mathematica code FIRE are presented. In particular, it can be applied together with the recently developed code LiteRed by Lee in order to provide an integration by parts reduction to master integrals for quite complicated families of Feynman integrals. As as an example, we consider four-loop massless propagator integrals for which LiteRed provides reduction rules and FIRE assists to apply these rules. So, as a by-product one obtains a four-loop variant of the well-known three-loop computer code MINCER. We also describe various ways to find additional relations between master integrals for several families of Feynman integrals.

References in corpus (7)

• Algorithm FIRE -- Feynman Integral REduction
• Presenting LiteRed: a tool for the Loop InTEgrals REDuction
• Leading singularities and off-shell conformal integrals
• Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals
• Analytic Epsilon Expansions of Master Integrals Corresponding to Massless Three-Loop Form Factors and Three-Loop g-2 up to Four-Loop Transcendentality Weight
• Counting master integrals: integration by parts vs. differential reduction
• S-bases as a tool to solve reduction problems for Feynman integrals

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