TY - JOUR
T1 - Conservative Binary Dynamics at Order α5 in Electrodynamics
AU - Bern, Zvi
AU - Herrmann, Enrico
AU - Roiban, Radu
AU - Ruf, Michael S.
AU - Smirnov, Alexander V.
AU - Smirnov, Vladimir A.
AU - Zeng, Mao
N1 - Publisher Copyright:
© 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.
PY - 2024/6/21
Y1 - 2024/6/21
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.132.251601
DO - 10.1103/PhysRevLett.132.251601
M3 - Article
C2 - 38996230
AN - SCOPUS:85196400390
SN - 0031-9007
VL - 132
JO - Physical review letters
JF - Physical review letters
IS - 25
M1 - 251601
ER -