Abstract
We combine the observable-based formalism (KMOC), the analytic properties of the scattering amplitude, generalised unitarity and the heavy-mass expansion with a newly introduced IBP reduction for Fourier integrals, to provide an efficient framework for computing scattering waveforms. We apply this framework to the scattering of two charged massive bodies in classical electrodynamics. Our work paves the way for the computation of the analytic one-loop waveform in General Relativity.
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Acknowledgments
We thank Gang Chen, Manoj K. Mandal, Pierpaolo Mastrolia, Donal O’Connell, Matteo Sergola for discussions. SDA would like to thank Aidan Herderschee, Radu Roiban, Fei Teng for discussions on related projects. GB would like to thank Giulio Crisanti, Mathieu Giroux, Pierpaolo Mastrolia, Manoj K. Mandal, Sid Smith for discussions on related projects. In particular, we would like to thank David A. Kosower for several inputs along the finalisation of this project. We also thank Donato Bini, Thibault Damour, Asaad Elkhidir, Harald Ita, Pierpaolo Mastrolia, Matteo Sergola, Donal O’Connell, Fei Teng, Sid Smith for insightful comments on the draft and spotting typos. Our research is supported by the European Research Council, under grant ERC–AdG–88541.
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Brunello, G., De Angelis, S. An improved framework for computing waveforms. J. High Energ. Phys. 2024, 62 (2024). https://doi.org/10.1007/JHEP07(2024)062
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DOI: https://doi.org/10.1007/JHEP07(2024)062