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

doi:10.1103/PhysRevLett.132.251601

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

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Article number	251601
Pages (from-to)	1-7
Number of pages	7
Journal	Physical Review Letters
Volume	132
Issue number	25
Early online date	17 Jun 2024
DOIs	https://doi.org/10.1103/PhysRevLett.132.251601
Publication status	Published - 21 Jun 2024

Keywords / Materials (for Non-textual outputs)

hep-th
gr-qc

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10.1103/PhysRevLett.132.251601Licence: Creative Commons: Attribution (CC-BY)

https://arxiv.org/abs/2305.08981Licence: Creative Commons: Attribution (CC-BY)

Scattering amplitudes and applications to precision QCD and gravitational waves
Zeng, M. (Principal Investigator)
Other (Learned Society)
1/08/21 → 31/12/25
Project: Research

Cite this

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AU - Roiban, Radu

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AU - Smirnov, Alexander V.

AU - Smirnov, Vladimir A.

AU - Zeng, Mao

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AB - 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.

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Conservative binary dynamics at order α5 in electrodynamics

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Scattering amplitudes and applications to precision QCD and gravitational waves

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