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

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.
Authors:
 [1] ;  [2] ;  [3] ;  [2]
  1. Uppsala Univ. (Sweden). Dept. of Physics and Astronomy
  2. Pennsylvania State Univ., University Park, PA (United States). Inst. for Gravitation and the Cosmos
  3. Uppsala Univ. (Sweden). Dept. of Physics and Astronomy; Stockholm Univ. (Sweden); KTH Royal Inst. of Technology, Stockholm (Sweden). Nordita
Publication Date:
Grant/Contract Number:
SC0013699; KAW 2013.0235; 621-2014-5722; S1/16
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Pennsylvania State Univ., University Park, PA (United States); Uppsala Univ. (Sweden); KTH Royal Inst. of Technology, Stockholm (Sweden)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); Knut and Alice Wallenberg Foundation (Sweden); Swedish Research Council (SRC); Ragnar Soderberg Foundation (Sweden)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; scattering amplitudes; supergravity models; supersymmetric gauge theory
OSTI Identifier:
1425796