Fourier calculus from intersection theory
Giacomo Brunello, Giulio Crisanti, Mathieu Giroux, Pierpaolo Mastrolia, S. H. Smith
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
Topics & Concepts
Intersection (aeronautics)Fourier transformComputationCalculus (dental)MathematicsFourier analysisDimension (graph theory)SpacetimeTime-scale calculusFeynman diagramMathematical analysisPhysicsMathematical physicsPure mathematicsQuantum mechanicsAlgorithmMedicineEngineeringDentistryMultivariable calculusAerospace engineeringControl engineeringHigh-Energy Particle Collisions ResearchBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studies