Conservative binary dynamics at order α5 in electrodynamics

Zvi Bern, Enrico Herrmann, Radu Roiban, Michael S. Ruf, Alexander V. Smirnov, Vladimir A. Smirnov, Mao Zeng

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

We compute the potential-photon contributions to the classical relativistic scattering angle of two charged non-spinning bodies in electrodynamics through fifth order in the coupling. We use the scattering amplitudes framework, effective field theory, and multi-loop integration techniques based on integration by parts and differential equations. At fifth order, the result is expressed in terms of cyclotomic polylogarithms. Our calculation demonstrates the feasibility of the corresponding calculations in general relativity, including the evaluation of the encountered four-loop integrals.
Original languageEnglish
JournalPhysical Review Letters
Publication statusAccepted/In press - 8 May 2024

Keywords / Materials (for Non-textual outputs)

  • hep-th
  • gr-qc

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