Multi-loop unitarity via computational algebraic geometry

Yang Zhang

This talk is about multi-loop scattering amplitudes calculation via computational algebraic geometry methods: (1) Integrand reduction by the Groebner basis and primary decomposition method (2) Maximal unitarity by multivariate residue calculation. We demonstrate these methods by our new analytic results on the two-loop five-point planar helicity amplitude in QCD and the three-loop triple box diagram in gauge theories.

http://scgp.stonybrook.edu/video_portal/video.php?id=920

Simons- Workshop: The Geometry and Physics of Scattering Amplitudes