Explicit formulae for YangMillsEinstein amplitudes from the double copy
Using the doublecopy construction of YangMillsEinstein theories formulated in our earlier work, we obtain compact presentations for singletrace YangMillsEinstein tree amplitudes with up to five external gravitons and an arbitrary number of gluons. These are written as linear combinations of colorordered YangMills trees, where the coefficients are given by color/kinematicssatisfying numerators in a YangMills + 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 stringtheory 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 singletrace amplitudes with an arbitrary number of gravitons. We also present explicit expressions for allloop singlegraviton EinsteinYangMills amplitudes in terms of YangMills amplitudes and, through gauge invariance, derive new allloop amplitude relations for YangMills theory.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[2]}
 Uppsala Univ. (Sweden). Dept. of Physics and Astronomy
 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
 Publication Date:
 Grant/Contract Number:
 SC0013699; KAW 2013.0235; 62120145722; 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 10298479
 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) (SC25); 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
Chiodaroli, Marco, Günaydin, Murat, Johansson, Henrik, and Roiban, Radu. Explicit formulae for YangMillsEinstein amplitudes from the double copy. United States: N. p.,
Web. doi:10.1007/JHEP07(2017)002.
Chiodaroli, Marco, Günaydin, Murat, Johansson, Henrik, & Roiban, Radu. Explicit formulae for YangMillsEinstein amplitudes from the double copy. United States. doi:10.1007/JHEP07(2017)002.
Chiodaroli, Marco, Günaydin, Murat, Johansson, Henrik, and Roiban, Radu. 2017.
"Explicit formulae for YangMillsEinstein amplitudes from the double copy". United States.
doi:10.1007/JHEP07(2017)002. https://www.osti.gov/servlets/purl/1425796.
@article{osti_1425796,
title = {Explicit formulae for YangMillsEinstein amplitudes from the double copy},
author = {Chiodaroli, Marco and Günaydin, Murat and Johansson, Henrik and Roiban, Radu},
abstractNote = {Using the doublecopy construction of YangMillsEinstein theories formulated in our earlier work, we obtain compact presentations for singletrace YangMillsEinstein tree amplitudes with up to five external gravitons and an arbitrary number of gluons. These are written as linear combinations of colorordered YangMills trees, where the coefficients are given by color/kinematicssatisfying numerators in a YangMills + 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 stringtheory 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 singletrace amplitudes with an arbitrary number of gravitons. We also present explicit expressions for allloop singlegraviton EinsteinYangMills amplitudes in terms of YangMills amplitudes and, through gauge invariance, derive new allloop amplitude relations for YangMills theory.},
doi = {10.1007/JHEP07(2017)002},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2017,
place = {United States},
year = {2017},
month = {7}
}