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Revisiting the second post-Minkowskian eikonal and the dynamics of binary black holes
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). University of Copenhagen, Denmark.
Number of Authors: 32019 (English)In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 100, no 6, article id 066028Article in journal (Refereed) Published
Abstract [en]

In this paper we study the two-body gravitational scattering of massive scalars with different masses in general spacetime dimensions. We focus on the Regge limit (eikonal regime) of the resulting scattering amplitudes and discuss how to extract the classical information representing the scattering of two black holes. We derive the leading eikonal and explicitly show the resummation of the first leading energy contribution up to second order in Newton's gravitational constant. We also calculate the subleading eikonal showing that in general spacetime dimensions it receives a nontrivial contribution from the box integral. From the eikonal we extract the two-body classical scattering angle between the two black holes up to the second post-Minkowskian order. Taking various probe-limits of the two-body scattering angles we are able to show agreement between our results and various results in the literature. We highlight that the box integral also has a log-divergent (in energy) contribution at subsubleading order which violates perturbative unitarity in the ultrarelativistic limit. We expect this term to play a role in the calculation of the eikonal at the third post-Minkowskian order.

Place, publisher, year, edition, pages
2019. Vol. 100, no 6, article id 066028
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-175059DOI: 10.1103/PhysRevD.100.066028ISI: 000487735200032OAI: oai:DiVA.org:su-175059DiVA, id: diva2:1365472
Available from: 2019-10-25 Created: 2019-10-25 Last updated: 2019-10-25Bibliographically approved

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Koemans Collado, ArnauDi Vecchia, Paolo
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