Syzygy method of integration by parts

Speaker

Rourou Ma

Description

Integration by parts(IBP) plays an important role in the calculation of Feynman integrals. Numerous Feynman integrals can be reduced to a small amount master integrals, as the simpler integral basis of a given Feynman integral family. Compare with traditional IBP, syzygy method can reduce IBP system redundancy, also make IBP reduction more efficient. I will introduce an IBP package "NeatIBP", which is based on syzygy method. I will also give an example about syzygy IBP with respect to atypical Feynman integrals, such as energy energy correlator integrals.

Presentation materials