English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We compute classical gravitational observables for the scattering of twospinless black holes in general relativity and $\mathcal N {=} 8$ supergravityin the formalism of Kosower, Maybee, and O'Connell (KMOC). We focus on thegravitational impulse with radiation reaction and the radiated momentum inblack hole scattering at $\mathcal O(G^3)$ to all orders in the velocity. Theseclassical observables require the construction and evaluation of certainloop-level quantities which are greatly simplified by harnessing recentadvances from scattering amplitudes and collider physics. In particular, wemake use of generalized unitarity to construct the relevant loop integrands,employ reverse unitarity, the method of regions, integration-by-parts (IBP),and (canonical) differential equations to simplify and evaluate all loop andphase-space integrals to obtain the classical gravitational observables ofinterest to two-loop order. The KMOC formalism naturally incorporates radiationeffects which enables us to explore these classical quantities beyond theconservative two-body dynamics. From the impulse and the radiated momentum, weextract the scattering angle and the radiated energy. Finally, we discussuniversality of the impulse in the high-energy limit and the relation to theeikonal phase.

Radiative Classical Gravitational Observables at $\mathcal O(G^3)$ from Scattering Amplitudes