Conservative Binary Dynamics at Order α 5 in Electrodynamics

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

doi:10.1103/PhysRevLett.132.251601

Title: Conservative Binary Dynamics at Order $α^{5}$ in Electrodynamics

Journal Article · 17 June 2024 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.132.251601 · OSTI ID:2373260

Bern, Zvi; Herrmann, Enrico; Roiban, Radu;

; Smirnov, Alexander V.;

; Zeng, Mao

We compute the potential-photon contributions to the classical relativistic scattering angle of two charged nonspinning bodies in electrodynamics through fifth order in the coupling. We use the scattering amplitudes framework, effective field theory, and multiloop 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. Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0009937

OSTI ID:: 2373260

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 25 Vol. 132; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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