Lecture Notes on Multi-loop Integral Reduction and Applied Algebraic Geometry
High Energy Physics - Theory
2018-12-14 v3 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1612.02249,
title = {Lecture Notes on Multi-loop Integral Reduction and Applied Algebraic Geometry},
author = {Yang Zhang},
journal= {arXiv preprint arXiv:1612.02249},
year = {2018}
}
Comments
Invited Review for Science China: Physics, Mechanics and Astronomy