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Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy
Uppsala Univ, Dept Phys & Astron, S-75108 Uppsala, Sweden..ORCID iD: 0000-0002-9010-7658
Penn State Univ, Inst Gravitat & Cosmos, University Pk, PA 16802 USA..
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Uppsala Univ, Dept Phys & Astron, S-75108 Uppsala, Sweden.;Stockholm Univ, Nordita, Roslagstullsbacken 23, S-10691 Stockholm, Sweden.
Penn State Univ, Inst Gravitat & Cosmos, University Pk, PA 16802 USA..
2017 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 7, article id 002Article in journal (Refereed) Published
Abstract [en]

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 + phi(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.

Place, publisher, year, edition, pages
Springer, 2017. no 7, article id 002
Keywords [en]
Scattering Amplitudes, Supergravity Models, Supersymmetric Gauge Theory
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-243527DOI: 10.1007/JHEP07(2017)002ISI: 000404628400001Scopus ID: 2-s2.0-85021750039OAI: oai:DiVA.org:kth-243527DiVA, id: diva2:1286892
Note

QC 20190208

Available from: 2019-02-08 Created: 2019-02-08 Last updated: 2019-02-08Bibliographically approved

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