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Analytic prescription for t-channel singularities

Kento Asai1,2,*, Nagisa Hiroshima3,4,†, Joe Sato3,‡, Ryusei Sato3,5,§, and Masaki J. S. Yang3,6,∥

  • *Contact author: kento.asai@yukawa.kyoto-u.ac.jp
  • †Contact author: hiroshima-nagisa-hd@ynu.ac.jp
  • ‡Contact author: sato-joe-mc@ynu.ac.jp
  • §Contact author: sato-ryusei-xr@ynu.jp
  • ∥Contact author: mjsyang@mail.saitama-u.ac.jp
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Phys. Rev. D 112, 076020 – Published 17 October, 2025

DOI: https://doi.org/10.1103/wkq9-52wv

Abstract

The t-channel singularity is a divergence in the scattering amplitude which occurs when a stable particle propagating in t-channel scattering process becomes an on-shell state. Such situations appear either in the system of collider experiments or in the context of the cosmological particle production. No scheme which is generally applicable is known. In this work, we propose a new formulation to identify and remove the source of the divergence. The scheme is fully analytical and various applications can be expected. This work provides a valuable tool in this research field.

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Phys. Rev. D 112, 076020– Published 17 October, 2025
  • Received 30 May 2025
  • Accepted 22 August 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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