Lecture Notes on Multi-loop Integral Reduction and Applied Algebraic Geometry
arXiv:1612.02249
Abstract
These notes are for the author's lectures, "Integral Reduction and Applied Algebraic Geometry Techniques" in the School and Workshop on Amplitudes in Beijing 2016. I introduce the applications of algebraic geometry methods on multi-loop scattering amplitudes, for instance, integrand reduction, residue computation in unitarity analysis and Integration-by-parts reduction. Illustrative examples and exercises are included in these notes.
Invited Review for Science China: Physics, Mechanics and Astronomy