Lecture Notes on Multi-loop Integral Reduction and Applied Algebraic Geometry

Yang Zhang

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arXiv · 1612.02249

Lecture Notes on Multi-loop Integral Reduction and Applied Algebraic Geometry

Yang Zhang

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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.

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Yang Zhang. 2016-12-07. Lecture Notes on Multi-loop Integral Reduction and Applied Algebraic Geometry. https://arxiv.org/abs/1612.02249

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