Comparison of post-Minkowskian and self-force expansions: Scattering in a scalar charge toy model

Leor Barack, Zvi Bern, Enrico Herrmann, Oliver Long, Julio Parra-Martinez, Radu Roiban, Michael S. Ruf, Chia-Hsien Shen, Mikhail P. Solon, Fei Teng, Mao Zeng

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

We compare numerical self-force results and analytical fourth-order post-Minkowskian (PM) calculations for hyperbolic-type scattering of a point-like particle carrying a scalar charge Q off a Schwarzschild black hole, showing a remarkably good agreement. Specifically, we numerically compute the scattering angle including the full O(Q2) scalar-field self-force term (but ignoring the gravitational self-force), and compare with analytical expressions obtained in a PM framework using scattering-amplitude methods. This example provides a nontrivial, high-precision test of both calculation methods, and illustrates the complementarity of the two approaches in the context of the program to provide high-precision models of gravitational two-body dynamics. Our PM calculation is carried out through 4PM order, i.e., including all terms through O(Q2G3). At the fourth post-Minkowskian order the point-particle description involves two a-priori undetermined coefficients, due to contributions from tidal effects in the model under consideration. These coefficients are chosen to align the post-Minkowskian results with the self-force ones
Original languageEnglish
Article number024025
Pages (from-to)1-30
Number of pages30
JournalPhysical Review D
Issue number2
Early online date12 Jul 2023
Publication statusPublished - 15 Jul 2023

Keywords / Materials (for Non-textual outputs)

  • hep-th
  • gr-qc


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