Searching for Kerr in the 2PM amplitude

A bstract The classical scattering of spinning objects is well described by the spinor-helicity formalism for heavy particles. Using these variables, we derive spurious-pole-free, all-spin opposite-helicity Compton amplitudes (factorizing on physical poles to the minimal, all-spin three-point amplit...

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Published in	The journal of high energy physics Vol. 2022; no. 7; pp. 72 - 34
Main Authors	Aoude, Rafael, Haddad, Kays, Helset, Andreas
Format	Journal Article
Language	English
Published	Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2022 Springer Nature B.V Springer Nature SpringerOpen
Subjects	Amplitudes Black Holes Classical and Quantum Gravitation CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Classical Theories of Gravity Deformation Effective Field Theories Elementary Particles Gravitational waves Gravity Helicity High energy physics Multipoles Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Scattering Scattering Amplitudes Spin structure String Theory Variables Classical Theories of Gravity Effective Field Theories Scattering Amplitudes Black Holes
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Abstract	A bstract The classical scattering of spinning objects is well described by the spinor-helicity formalism for heavy particles. Using these variables, we derive spurious-pole-free, all-spin opposite-helicity Compton amplitudes (factorizing on physical poles to the minimal, all-spin three-point amplitudes) in the classical limit for QED, QCD, and gravity. The cured amplitudes are subject to deformations by contact terms, the vast majority of whose contributions we can fix by imposing a relation between spin structures — motivated by lower spin multipoles of black hole scattering — at the second post-Minkowskian (2PM) order. For QED and gravity, this leaves a modest number of unfixed coefficients parametrizing contact-term deformations, while the QCD amplitude is uniquely determined. Our gravitational Compton amplitude allows us to push the state-of-the-art of spinning-2PM scattering to any order in the spin vectors of both objects; we present results here and in the supplementary material file 2PMSpin8Aux.nb up to eighth order in the spin vectors. Interestingly, despite leftover coefficients in the Compton amplitude, imposing the aforementioned relation between spin structures uniquely fixes some higher-spin parts of the 2PM amplitude.
AbstractList	A bstract The classical scattering of spinning objects is well described by the spinor-helicity formalism for heavy particles. Using these variables, we derive spurious-pole-free, all-spin opposite-helicity Compton amplitudes (factorizing on physical poles to the minimal, all-spin three-point amplitudes) in the classical limit for QED, QCD, and gravity. The cured amplitudes are subject to deformations by contact terms, the vast majority of whose contributions we can fix by imposing a relation between spin structures — motivated by lower spin multipoles of black hole scattering — at the second post-Minkowskian (2PM) order. For QED and gravity, this leaves a modest number of unfixed coefficients parametrizing contact-term deformations, while the QCD amplitude is uniquely determined. Our gravitational Compton amplitude allows us to push the state-of-the-art of spinning-2PM scattering to any order in the spin vectors of both objects; we present results here and in the supplementary material file 2PMSpin8Aux.nb up to eighth order in the spin vectors. Interestingly, despite leftover coefficients in the Compton amplitude, imposing the aforementioned relation between spin structures uniquely fixes some higher-spin parts of the 2PM amplitude. The classical scattering of spinning objects is well described by the spinor-helicity formalism for heavy particles. Using these variables, we derive spurious-pole-free, all-spin opposite-helicity Compton amplitudes (factorizing on physical poles to the minimal, all-spin three-point amplitudes) in the classical limit for QED, QCD, and gravity. The cured amplitudes are subject to deformations by contact terms, the vast majority of whose contributions we can fix by imposing a relation between spin structures - motivated by lower spin multipoles of black hole scattering - at the second post-Minkowskian (2PM) order. For QED and gravity, this leaves a modest number of unfixed coefficients parametrizing contact-term deformations, while the QCD amplitude is uniquely determined. Our gravitational Compton amplitude allows us to push the state-of-the-art of spinning-2PM scattering to any order in the spin vectors of both objects; we present results here and in the supplementary material file 2PMSpin8Aux.nb up to eighth order in the spin vectors. Interestingly, despite leftover coefficients in the Compton amplitude, imposing the aforementioned relation between spin structures uniquely fixes some higher-spin parts of the 2PM amplitude. Abstract The classical scattering of spinning objects is well described by the spinor-helicity formalism for heavy particles. Using these variables, we derive spurious-pole-free, all-spin opposite-helicity Compton amplitudes (factorizing on physical poles to the minimal, all-spin three-point amplitudes) in the classical limit for QED, QCD, and gravity. The cured amplitudes are subject to deformations by contact terms, the vast majority of whose contributions we can fix by imposing a relation between spin structures — motivated by lower spin multipoles of black hole scattering — at the second post-Minkowskian (2PM) order. For QED and gravity, this leaves a modest number of unfixed coefficients parametrizing contact-term deformations, while the QCD amplitude is uniquely determined. Our gravitational Compton amplitude allows us to push the state-of-the-art of spinning-2PM scattering to any order in the spin vectors of both objects; we present results here and in the supplementary material file 2PMSpin8Aux.nb up to eighth order in the spin vectors. Interestingly, despite leftover coefficients in the Compton amplitude, imposing the aforementioned relation between spin structures uniquely fixes some higher-spin parts of the 2PM amplitude.
ArticleNumber	72
Author	Helset, Andreas Aoude, Rafael Haddad, Kays
Author_xml	– sequence: 1 givenname: Rafael orcidid: 0000-0001-9259-9257 surname: Aoude fullname: Aoude, Rafael organization: Centre for Cosmology, Particle Physics and Phenomenology (CP3), Université catholique de Louvain – sequence: 2 givenname: Kays orcidid: 0000-0002-1182-2750 surname: Haddad fullname: Haddad, Kays email: kays.haddad@physics.uu.se organization: Department of Physics and Astronomy, Uppsala University, Nordita, Stockholm University and KTH Royal Institute of Technology – sequence: 3 givenname: Andreas orcidid: 0000-0002-5904-3748 surname: Helset fullname: Helset, Andreas organization: Walter Burke Institute for Theoretical Physics, California Institute of Technology
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Snippet	A bstract The classical scattering of spinning objects is well described by the spinor-helicity formalism for heavy particles. Using these variables, we derive... The classical scattering of spinning objects is well described by the spinor-helicity formalism for heavy particles. Using these variables, we derive... Abstract The classical scattering of spinning objects is well described by the spinor-helicity formalism for heavy particles. Using these variables, we derive...
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SubjectTerms	Amplitudes Black Holes Classical and Quantum Gravitation CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Classical Theories of Gravity Deformation Effective Field Theories Elementary Particles Gravitational waves Gravity Helicity High energy physics Multipoles Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Scattering Scattering Amplitudes Spin structure String Theory Variables
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Title	Searching for Kerr in the 2PM amplitude
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