Notes on Fourier transform and its application to three-point momentum-space integrals
Abstract
The Fourier transform of two-point momentum-space Feynman integrals with massless propagators and two off-shell legs can be used to prove identities between their periods, exemplified by the glue-and-cut identity. We generalize this framework to massless momentum-space Feynman integrals with three off-shell legs and obtain a similar family of identities that can be used to calculate these integrals, especially for a nonplanar subset of them, which naturally arise in the off-shell Sudakov form factors.
Fields of Study & Subjects
Particle physics theoretical and experimental studies
Algebraic and Geometric Analysis
Mathematical functions and polynomials
Publication details
- Journal / source
- Physical review. D/Physical review. D.
- Publisher
- American Physical Society (APS)
- Volume
- 113
- Issue
- 3
- Publication date
- 26 January 2026
- Language
- EN