4.4 Article

Searching for Kerr in the 2PM amplitude

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 7, 页码 -

出版社

SPRINGER
DOI: 10.1007/JHEP07(2022)072

关键词

Black Holes; Effective Field Theories; Scattering Amplitudes; Classical Theories of Gravity

资金

  1. F.R.S-FNRS [40005600]
  2. Knut and Alice Wallenberg Foundation [KAW 2018.0116]
  3. Ragnar Soderberg Foundation (Swedish Foundations' Starting Grant)
  4. DOE [DE-SC0011632]
  5. Walter Burke Institute for Theoretical Physics

向作者/读者索取更多资源

By utilizing the spinor-helicity formalism, spurious-pole-free all-spin opposite-helicity Compton amplitudes in the classical limit for heavy particles are derived for QED, QCD, and gravity. The cured amplitudes are subject to deformations by contact terms, which can be largely fixed by imposing a relation between spin structures at the second post-Minkowskian order.
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.

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