The Polynomial Form of the Scattering Equations is an H-Basis
High Energy Physics - Theory
2016-08-10 v1 Mathematical Physics
math.MP
Abstract
We prove that the polynomial form of the scattering equations is a Macaulay H-basis. We demonstrate that this H-basis facilitates integrand reduction and global residue computations in a way very similar to using a Gr\"obner basis, but circumvents the heavy computation of the latter. As an example, we apply the H-basis to prove the conjecture that the dual basis of the polynomial scattering equations must contain one constant term.
Keywords
Cite
@article{arxiv.1605.08431,
title = {The Polynomial Form of the Scattering Equations is an H-Basis},
author = {Jorrit Bosma and Mads Sogaard and Yang Zhang},
journal= {arXiv preprint arXiv:1605.08431},
year = {2016}
}
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6 pages