Poincaré constraints on celestial amplitudes

Law, Y. T.  Albert; Zlotnikov, Michael

doi:10.1007/jhep03(2020)085

Poincaré constraints on celestial amplitudes

Journal Article · Fri Mar 13 00:00:00 EDT 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep03(2020)085· OSTI ID:1802292

Law, Y. T. Albert ^[1]; ^[2]

Columbia Univ., New York, NY (United States). Center for Theoretical Physics. Dept. of Physics; OSTI
Columbia Univ., New York, NY (United States). Center for Theoretical Physics. Dept. of Physics

The functional structure of celestial amplitudes as constrained by Poincare symmetry is investigated in 2, 3, and 4-point cases for massless external particles of various spin, as well as massive external scalars. Functional constraints and recurrence relations are found (akin to the findings in [24]) that must be obeyed by the respective permissible correlator structures and function coefficients. In specific three-point cases involving massive scalars the resulting recurrence relations can be solved, e.g., reproducing purely from symmetry a three-point function coefficient known in the literature. Additionally, as a byproduct of the analysis, the three-point function coefficient for gluons in Minkowski signature is obtained from an amplitude map to the celestial sphere.

View Accepted Manuscript (DOE)

Research Organization:: Columbia Univ., New York, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0011941

OSTI ID:: 1802292

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2020; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Asymptotic Symmetries and Celestial CFT Donnay, Laura; Pasterski, Sabrina; Puhm, Andrea arXiv https://doi.org/10.48550/arxiv.2005.08990	text	January 2020
On Sugawara construction on Celestial Sphere Fan, Wei; Fotopoulos, Angelos; Stieberger, Stephan arXiv https://doi.org/10.48550/arxiv.2005.10666	text	January 2020
Double Copy for Celestial Amplitudes Casali, Eduardo; Puhm, Andrea arXiv https://doi.org/10.48550/arxiv.2007.15027	text	January 2020

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