Physics Group Meeting

Integration By Parts for Feynman Integrals

In this discussion I will present the background to the integration-by-parts (IBP) machinery as used for Feynman integrals, and its applications. I will also discuss recent work linking IBP to some aspects of the algebraic geometry underlying Feynman integrals.

Original IBP paper (pre-arXiv!):

Nucl. Phys. B192 (1981) 159-204 [DOI:

http://dx.doi.org/10.1016/0550-3213(81)90199-1

General IBP algorithm:

http://arxiv.org/abs/hep-ph/0102032

Generating vectors:

http://arxiv.org/abs/1009.0472

Newest ideas in differential equations:

http://arxiv.org/abs/1304.1806

Links to unitarity & algebraic geometry:

http://arxiv.org/abs/1510.05626

http://arxiv.org/abs/1511.01071