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Celestial amplitudes: conformal partial waves and soft limits

Celestial amplitudes: conformal partial waves and soft limits
Celestial amplitudes: conformal partial waves and soft limits

Massless scattering amplitudes in four-dimensional Minkowski spacetime can be Mellin-transformed to correlation functions on the celestial sphere at null infinity called celestial amplitudes. We study various properties of massless four-point scalar and gluon celestial amplitudes such as conformal partial wave decomposition, crossing relations and optical theorem. As a byproduct, we derive the analog of the single and double soft limits for all gluon celestial amplitudes.

Conformal Field Theory, Scattering Amplitudes
1126-6708
Nandan, Dhritiman
bab009ef-4878-4ec6-8bba-cb998c20c5c8
Schreiber, Anders
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Volovich, Anastasia
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Zlotnikov, Michael
cd9a5d97-87d9-44db-94ba-e2cb4ecd04ad
Nandan, Dhritiman
bab009ef-4878-4ec6-8bba-cb998c20c5c8
Schreiber, Anders
deb4edcd-193b-4bf4-a328-90d4c3bf1001
Volovich, Anastasia
ef8e1a6e-f020-42f7-bd06-4ef350665195
Zlotnikov, Michael
cd9a5d97-87d9-44db-94ba-e2cb4ecd04ad

Nandan, Dhritiman, Schreiber, Anders, Volovich, Anastasia and Zlotnikov, Michael (2019) Celestial amplitudes: conformal partial waves and soft limits. Journal of High Energy Physics, 2019 (10), [18]. (doi:10.1007/JHEP10(2019)018).

Record type: Article

Abstract

Massless scattering amplitudes in four-dimensional Minkowski spacetime can be Mellin-transformed to correlation functions on the celestial sphere at null infinity called celestial amplitudes. We study various properties of massless four-point scalar and gluon celestial amplitudes such as conformal partial wave decomposition, crossing relations and optical theorem. As a byproduct, we derive the analog of the single and double soft limits for all gluon celestial amplitudes.

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Accepted/In Press date: 5 September 2019
e-pub ahead of print date: 3 October 2019
Published date: October 2019
Keywords: Conformal Field Theory, Scattering Amplitudes

Identifiers

Local EPrints ID: 435417
URI: http://eprints.soton.ac.uk/id/eprint/435417
ISSN: 1126-6708
PURE UUID: c5886247-2097-4646-908d-920f33d2e41f

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Date deposited: 06 Nov 2019 17:30
Last modified: 16 Mar 2024 05:02

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Contributors

Author: Dhritiman Nandan
Author: Anders Schreiber
Author: Anastasia Volovich
Author: Michael Zlotnikov

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