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Conservative binary dynamics at order $O(\alpha^5)$ in electrodynamics

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arxiv 2305.08981 v1 pith:35VJFRZO submitted 2023-05-15 hep-th gr-qc

classification hep-thgr-qc
keywords orderelectrodynamicsfifthintegrationscatteringalphaamplitudesangle
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order

    hep-th 2025-02 conditional novelty 7.0 of 10

    The O(G^3) conservative and radiation-reaction classical observables for spinning black-hole scattering are extended to quartic order in spin, with all-order-in-spin radiation reaction beyond the aligned-spin limit.

  2. Classical eikonal in relativistic scattering

    hep-th 2025-09 conditional novelty 6.0 of 10

    A classical interaction picture defines the classical eikonal directly in classical mechanics and yields all-order eikonal formulas for relativistic probes in EM and gravitational backgrounds.

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