Fourier Calculus from Intersection Theory
High Energy Physics - Theory
2024-04-11 v2 High Energy Physics - Phenomenology
Abstract
Building on recent advances in studying the co-homological properties of Feynman integrals, we apply intersection theory to the computation of Fourier integrals. We discuss applications pertinent to gravitational bremsstrahlung and deep inelastic scattering in the saturation regime. After identifying the bases of master integrals, the latter are evaluated by means of the differential equation method. Finally, new results with exact dependence on the spacetime dimension D are presented.
Cite
@article{arxiv.2311.14432,
title = {Fourier Calculus from Intersection Theory},
author = {Giacomo Brunello and Giulio Crisanti and Mathieu Giroux and Pierpaolo Mastrolia and Sid Smith},
journal= {arXiv preprint arXiv:2311.14432},
year = {2024}
}
Comments
15 pages and 3 figures, matching the published version