Bootstrapping elliptic Feynman integrals using Schubert analysis
High Energy Physics - Theory
2023-08-02 v1
Abstract
The symbol bootstrap has proven to be a powerful tool for calculating polylogarithmic Feynman integrals and scattering amplitudes. In this letter, we initiate the symbol bootstrap for elliptic Feynman integrals. Concretely, we bootstrap the symbol of the twelve-point two-loop double-box integral in four dimensions, which depends on nine dual-conformal cross ratios. We obtain the symbol alphabet, which contains 100 logarithms as well as 9 simple elliptic integrals, via a Schubert-type analysis, which we equally generalize to the elliptic case. In particular, we find a compact, one-line formula for the (2,2)-coproduct of the result.
Cite
@article{arxiv.2212.09762,
title = {Bootstrapping elliptic Feynman integrals using Schubert analysis},
author = {Roger Morales and Anne Spiering and Matthias Wilhelm and Qinglin Yang and Chi Zhang},
journal= {arXiv preprint arXiv:2212.09762},
year = {2023}
}
Comments
5+6 pages, 4 figures