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

Marco Chiodaroli, Murat Gunaydin, Henrik Johansson, Radu Roiban

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

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 + ϕ3 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.

Original languageEnglish (US)
Article number2
JournalJournal of High Energy Physics
Volume2017
Issue number7
DOIs
StatePublished - Jul 1 2017

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gravitons
gauge invariance
color
kinematics
gluons
Yang-Mills theory
supergravity
string theory
invariance
formalism
coefficients
scattering

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

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title = "Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy",
abstract = "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 + ϕ3 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.",
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Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy. / Chiodaroli, Marco; Gunaydin, Murat; Johansson, Henrik; Roiban, Radu.

In: Journal of High Energy Physics, Vol. 2017, No. 7, 2, 01.07.2017.

Research output: Contribution to journalArticle

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AU - Gunaydin, Murat

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AU - Roiban, Radu

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