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Conservative Binary Dynamics at Order α^{5} in Electrodynamics
Zvi Bern1, Enrico Herrmann1, Radu Roiban2
1Mani L. Bhaumik Institute for Theoretical Physics, <a href="https://ror.org/046rm7j60">University of California at Los Angeles</a>, Los Angeles, California 90095, USA.
Abstract:
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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