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Article Dans Une Revue Phys.Rev.D Année : 2024

Fourier calculus from intersection theory

Résumé

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.

Dates et versions

hal-04344192 , version 1 (14-12-2023)

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Giacomo Brunello, Giulio Crisanti, Mathieu Giroux, Pierpaolo Mastrolia, Sid Smith. Fourier calculus from intersection theory. Phys.Rev.D, 2024, 109 (9), pp.094047. ⟨10.1103/PhysRevD.109.094047⟩. ⟨hal-04344192⟩
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