\textsc{MultivariateResidues} : a Mathematica package for computing multivariate residues

DOI10.1016/j.cpc.2017.08.025arXiv1701.01040MaRDI QIDQ6155742

Kasper J. Larsen, Robbert Rietkerk

Publication date: 7 June 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.01040

zbMATH Keywords

perturbation theorycomputer algebracomputational algebraic geometryunitarity calculations

Mathematics Subject Classification ID

Numerical analysis (65-XX) General and overarching topics; collections (00-XX)

Related Items (6)

On the brane expansion of the Schur index ⋮ Exact stringy microstates from gauge theories ⋮ \textsc{Rings}: an efficient Java/Scala library for polynomial rings ⋮ Residues, modularity, and the Cardy limit of the 4d \(\mathcal{N} = 4\) superconformal index ⋮ Refined swampland distance conjecture and exotic hybrid Calabi-Yaus ⋮ Maximal transcendental weight contribution of scattering amplitudes

Cites Work

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• A duality for the S matrix
• Unification of residues and Grassmannian dualities
• Multivariate residues and maximal unitarity
• Generalized unitarity and one-loop amplitudes in \(\mathcal N=1\) super-Yang-Mills
• Gravity on-shell diagrams
• Evidence for a nonplanar amplituhedron
• Solving polynomial systems using numeric Gröbner bases
• Local integrals for planar scattering amplitudes
• On-shell methods in perturbative QCD
• On-shell structures of MHV amplitudes beyond the planar limit
• Positive amplitudes in the amplituhedron

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