Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals

Abstract

The excessiveness of integration-by-part (IBP) identities is discussed. The Lie-algebraic structure of the IBP identities is used to reduce the number of the IBP equations to be considered. It is shown that Lorentz-invariance (LI) identities do not bring any information additional to that contained in the IBP identities, and therefore, can be discarded.

6 pages, RevTeX. Version, published in JHEP, references corrected

References in corpus (2)

• Differential Equations for Two-Loop Four-Point Functions
• On the reduction of Feynman integrals to master integrals

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