Scattering in black hole backgrounds and higher-spin amplitudes. Part I

Yilber Bautista (Perimeter Institute for Theoretical Physics, Waterloo, ON, N2L 2Y5, Canada; Department of Physics and Astronomy, York University, Toronto, Ontario, M3J 1P3, Canada) ; Alfredo Guevara (Perimeter Institute for Theoretical Physics, Waterloo, ON, N2L 2Y5, Canada; Society of Fellows, Harvard University, Cambridge, MA, 02138, USA) ; Chris Kavanagh (Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am Mühlenberg 1, Potsdam, 14476, Germany) ; Justin Vines (Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am Mühlenberg 1, Potsdam, 14476, Germany)

The scattering of massless waves of helicity h = 0 , 1 2 , 1 $$ \mid h\mid =0,\frac{1}{2},1 $$ in Schwarzschild and Kerr backgrounds is revisited in the long-wavelength regime. Using a novel description of such backgrounds in terms of gravitating massive particles, we compute classical wave scattering in terms of 2 → 2 QFT amplitudes in flat space, to all orders in spin. The results are Newman-Penrose amplitudes which are in direct correspondence with solutions of the Regge-Wheeler/Teukolsky equation. By introducing a precise prescription for the point-particle limit, in Part I of this work we show how both agree for h = 0 at finite values of the scattering angle and arbitrary spin orientation.

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      "source": "Springer", 
      "value": "The scattering of massless waves of helicity   <math> <mo>\u2223</mo> <mi>h</mi> <mo>\u2223</mo> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>,</mo> <mn>1</mn> </math>  $$ \\mid h\\mid =0,\\frac{1}{2},1 $$  in Schwarzschild and Kerr backgrounds is revisited in the long-wavelength regime. Using a novel description of such backgrounds in terms of gravitating massive particles, we compute classical wave scattering in terms of 2 \u2192 2 QFT amplitudes in flat space, to all orders in spin. The results are Newman-Penrose amplitudes which are in direct correspondence with solutions of the Regge-Wheeler/Teukolsky equation. By introducing a precise prescription for the point-particle limit, in Part I of this work we show how both agree for h = 0 at finite values of the scattering angle and arbitrary spin orientation."
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Published on:
20 March 2023
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2023 (2023)
Issue 3
Pages 1-58
DOI:
https://doi.org/10.1007/JHEP03(2023)136
arXiv:
2107.10179
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: