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PreprintCC BY 4.0arXiv

Electron-to-Muon Forward Annihilation at High Energy

Abstract

We study the high-energy behavior of electron-to-muon annihilation in forward kinematics in QED with two massive lepton species. Using effective field theory renormalization group techniques we derive the all-order asymptotic behavior of the annihilation amplitude through the next-to-leading logarithmic approximation. Furthermore, we consider one- and two-loop fixed-order corrections to the forward-annihilation amplitude in the high-energy limit, which we compute up to power corrections. The goal of this paper is to elaborate on various technical details that we omitted in the original presentation of our results in arXiv:2510.04914.

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BibTeX
@misc{delto2026electrontomuon,
  title = {{Electron-to-Muon Forward Annihilation at High Energy}},
  author = {Maximilian Delto and Alexander A. Penin and Lorenzo Tancredi},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.37531},
  eprint = {2610.37531},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.37531},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Electron-to-Muon Forward Annihilation at High Energy
AU  - Maximilian Delto
AU  - Alexander A. Penin
AU  - Lorenzo Tancredi
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.37531
UR  - https://arxiv.org/abs/2610.37531
AB  - We study the high-energy behavior of electron-to-muon annihilation in forward kinematics in QED with two massive lepton species. Using effective field theory renormalization group techniques we derive the all-order asymptotic behavior of the annihilation amplitude through the next-to-leading logarithmic approximation. Furthermore, we consider one- and two-loop fixed-order corrections to the forward-annihilation amplitude in the high-energy limit, which we compute up to power corrections. The goal of this paper is to elaborate on various technical details that we omitted in the original presentation of our results in arXiv:2510.04914.
ER  -