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Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Penn State Univ, Inst Gravitat & Cosmos, University Pk, PA 16802 USA..
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Stockholm Univ, Nordita, Roslagstullsbacken 23, S-10691 Stockholm, Sweden.;KTH Royal Inst Technol, 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, 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, 002
Keyword [en]
Scattering Amplitudes, Supergravity Models, Supersymmetric Gauge Theory
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:uu:diva-328968DOI: 10.1007/JHEP07(2017)002ISI: 000404628400001OAI: oai:DiVA.org:uu-328968DiVA: diva2:1141260
Funder
Knut and Alice Wallenberg Foundation, KAW 2013.0235Swedish Research Council, 621-2014-5722Ragnar Söderbergs stiftelse, S1/16
Available from: 2017-09-14 Created: 2017-09-14 Last updated: 2017-09-14Bibliographically approved

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