Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy

Chiodaroli, Marco; Günaydin, Murat; Johansson, Henrik; Roiban, Radu

doi:10.1007/JHEP07(2017)002

Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy

Journal Article · Mon Jul 03 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP07(2017)002· OSTI ID:1425796

Chiodaroli, Marco ^[1]; Günaydin, Murat ^[2]; Johansson, Henrik ^[3]; Roiban, Radu ^[2]

Uppsala Univ. (Sweden). Dept. of Physics and Astronomy; Department of Physics and Astronomy, Uppsala University, 75108 Uppsala, Sweden
Pennsylvania State Univ., University Park, PA (United States). Inst. for Gravitation and the Cosmos
Uppsala Univ. (Sweden). Dept. of Physics and Astronomy; Stockholm Univ. (Sweden); KTH Royal Inst. of Technology, Stockholm (Sweden). Nordita

Using the double-copy construction of Yang-Mills-Einstein theories formulated in our earlier work, we obtain compact presentations for single-trace Yang-Mills-Einstein tree amplitudes with up to five external gravitons and an arbitrary number of gluons. These are written as linear combinations of color-ordered Yang-Mills trees, where the coefficients are given by color/kinematics-satisfying numerators in a Yang-Mills + φ ³ theory. The construction outlined in this paper holds in general dimension and extends straightforwardly to supergravity theories. For one, two, and three external gravitons, our expressions give identical or simpler presentations of amplitudes already constructed through string-theory considerations or the scattering equations formalism. Our results are based on color/kinematics duality and gauge invariance, and strongly hint at a recursive structure underlying the single-trace amplitudes with an arbitrary number of gravitons. We also present explicit expressions for all-loop single-graviton Einstein-Yang-Mills amplitudes in terms of Yang-Mills amplitudes and, through gauge invariance, derive new all-loop amplitude relations for Yang-Mills theory.

View Accepted Manuscript (DOE)

Research Organization:: KTH Royal Inst. of Technology, Stockholm (Sweden); Pennsylvania State Univ., University Park, PA (United States); Uppsala Univ. (Sweden)

Sponsoring Organization:: Knut and Alice Wallenberg Foundation (Sweden); Ragnar Soderberg Foundation (Sweden); Swedish Research Council (Sweden); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0013699

OSTI ID:: 1425796

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2017; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Supersymmetry constraints on U-duality invariant deformations of $N \geq 5$ Supergravity Gunaydin, Murat; Kallosh, Renata arXiv https://doi.org/10.48550/arxiv.1812.08758	text	January 2018
Expansion of Einstein-Yang-Mills theory by Differential Operators Feng, Bo; Li, Xiaodi; Zhou, Kang arXiv https://doi.org/10.48550/arxiv.1904.05997	text	January 2019
Monodromy relations from twisted homology Casali, Eduardo; Mizera, Sebastian; Tourkine, Piotr arXiv https://doi.org/10.48550/arxiv.1910.08514	text	January 2019

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