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Notes on Fourier transform and its application to three-point momentum-space integrals

Xuhang Jiang*

  • *Contact author: xhjiang@itp.ac.cn
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Phys. Rev. D 113, 036012 – Published 12 February, 2026

DOI: https://doi.org/10.1103/g32f-w3wq

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.

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Phys. Rev. D 113, 036012– Published 12 February, 2026
  • Received 7 January 2026
  • Accepted 26 January 2026
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