Radiated momentum in the post-Minkowskian worldline approach via reverse unitarity

Abstract We compute the four-momentum radiated during the scattering of two spinless bodies, at leading order in the Newton’s contant G and at all orders in the velocities, using the Effective Field Theory worldline approach. Following [1], we derive the conserved stress-energy tensor linearly coupl...

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Autores principales:	Massimiliano Maria Riva, Filippo Vernizzi
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Classical Theories of Gravity Black Holes Effective Field Theories Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/2be7201fd1f54d10a7157f0fe1b598c5
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spelling	oai:doaj.org-article:2be7201fd1f54d10a7157f0fe1b598c52021-12-05T12:25:12ZRadiated momentum in the post-Minkowskian worldline approach via reverse unitarity10.1007/JHEP11(2021)2281029-8479https://doaj.org/article/2be7201fd1f54d10a7157f0fe1b598c52021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)228https://doaj.org/toc/1029-8479Abstract We compute the four-momentum radiated during the scattering of two spinless bodies, at leading order in the Newton’s contant G and at all orders in the velocities, using the Effective Field Theory worldline approach. Following [1], we derive the conserved stress-energy tensor linearly coupled to gravity generated by localized sources, at leading and next-to-leading order in G, and from that the classical probability amplitude of graviton emission. The total emitted momentum is obtained by phase-space integration of the graviton momentum weighted by the modulo squared of the radiation amplitude. We recast this as a two-loop integral that we solve using techniques borrowed from particle physics, such as reverse unitarity, reduction to master integrals by integration-by-parts identities and canonical differential equations. The emitted momentum agrees with recent results obtained by other methods. Our approach provides an alternative way of directly computing radiated observables in the post-Minkowskian expansion without going through the classical limit of scattering amplitudes.Massimiliano Maria RivaFilippo VernizziSpringerOpenarticleClassical Theories of GravityBlack HolesEffective Field TheoriesNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-41 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Classical Theories of Gravity Black Holes Effective Field Theories Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Classical Theories of Gravity Black Holes Effective Field Theories Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Massimiliano Maria Riva Filippo Vernizzi Radiated momentum in the post-Minkowskian worldline approach via reverse unitarity
description	Abstract We compute the four-momentum radiated during the scattering of two spinless bodies, at leading order in the Newton’s contant G and at all orders in the velocities, using the Effective Field Theory worldline approach. Following [1], we derive the conserved stress-energy tensor linearly coupled to gravity generated by localized sources, at leading and next-to-leading order in G, and from that the classical probability amplitude of graviton emission. The total emitted momentum is obtained by phase-space integration of the graviton momentum weighted by the modulo squared of the radiation amplitude. We recast this as a two-loop integral that we solve using techniques borrowed from particle physics, such as reverse unitarity, reduction to master integrals by integration-by-parts identities and canonical differential equations. The emitted momentum agrees with recent results obtained by other methods. Our approach provides an alternative way of directly computing radiated observables in the post-Minkowskian expansion without going through the classical limit of scattering amplitudes.
format	article
author	Massimiliano Maria Riva Filippo Vernizzi
author_facet	Massimiliano Maria Riva Filippo Vernizzi
author_sort	Massimiliano Maria Riva
title	Radiated momentum in the post-Minkowskian worldline approach via reverse unitarity
title_short	Radiated momentum in the post-Minkowskian worldline approach via reverse unitarity
title_full	Radiated momentum in the post-Minkowskian worldline approach via reverse unitarity
title_fullStr	Radiated momentum in the post-Minkowskian worldline approach via reverse unitarity
title_full_unstemmed	Radiated momentum in the post-Minkowskian worldline approach via reverse unitarity
title_sort	radiated momentum in the post-minkowskian worldline approach via reverse unitarity
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/2be7201fd1f54d10a7157f0fe1b598c5
work_keys_str_mv	AT massimilianomariariva radiatedmomentuminthepostminkowskianworldlineapproachviareverseunitarity AT filippovernizzi radiatedmomentuminthepostminkowskianworldlineapproachviareverseunitarity
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Radiated momentum in the post-Minkowskian worldline approach via reverse unitarity

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