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PreprintCC BY 4.0arXiv

Four-loop electron EDM matching and timelike τ electric dipole form factor

Abstract

We compute the four-loop matching of a CP-odd four-τ interaction onto the electron electric dipole moment (EDM), together with the leading timelike τ dipole form factor generated by the same source. Both results are scale independent at this order. Without a local electron dipole, exact electron-EDM cancellation still leaves a timelike τ signal proportional to the four-τ coefficient. Its absorptive part cannot be canceled by a real local dipole, allowing collider limits to constrain the cancellation direction and complement static electron-EDM searches.

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BibTeX
@misc{liu2026fourloop,
  title = {{Four-loop electron EDM matching and timelike $τ$ electric dipole form factor}},
  author = {Chia-Wei Liu and Zi-Yue Zou},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.28400},
  eprint = {2610.28400},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.28400},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Four-loop electron EDM matching and timelike τ electric dipole form factor
AU  - Chia-Wei Liu
AU  - Zi-Yue Zou
PY  - 2026
DA  - 2026/10/25
PB  - arXiv
DO  - 10.48550/arxiv.2610.28400
UR  - https://arxiv.org/abs/2610.28400
AB  - We compute the four-loop matching of a CP-odd four-τ interaction onto the electron electric dipole moment (EDM), together with the leading timelike τ dipole form factor generated by the same source. Both results are scale independent at this order. Without a local electron dipole, exact electron-EDM cancellation still leaves a timelike τ signal proportional to the four-τ coefficient. Its absorptive part cannot be canceled by a real local dipole, allowing collider limits to constrain the cancellation direction and complement static electron-EDM searches.
ER  -