Fourier calculus from intersection theory

Author:

Brunello Giacomo123ORCID,Crisanti Giulio12ORCID,Giroux Mathieu4ORCID,Mastrolia Pierpaolo12,Smith Sid125ORCID

Affiliation:

1. Universita di Padova

2. INFN

3. Université Paris-Saclay

4. McGill University

5. University of Edinburgh

Abstract

Building on recent advances in studying the cohomological 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. Published by the American Physical Society 2024

Funder

Natural Sciences and Engineering Research Council of Canada

Canada Research Chairs

the Gini foundation

Publisher

American Physical Society (APS)

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Feynman integral reductions by intersection theory with orthogonal bases and closed formulae;Journal of High Energy Physics;2024-09-05

2. Classifying post-Minkowskian geometries for gravitational waves via loop-by-loop Baikov;Journal of High Energy Physics;2024-08-30

3. General relativity from intersection theory;Physical Review D;2024-08-09

4. Loops in de Sitter space;Journal of High Energy Physics;2024-07-22

5. An improved framework for computing waveforms;Journal of High Energy Physics;2024-07-09

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