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Title: Scattering amplitudes in $$\mathcal{N}=2 $$ Maxwell-Einstein and Yang-Mills/Einstein supergravity

Abstract

We expose a double-copy structure in the scattering amplitudes of the generic Jordan family of N = 2 Maxwell-Einstein and Yang-Mills/Einstein supergravity theories in four and five dimensions. The Maxwell-Einstein supergravity amplitudes are obtained through the color/kinematics duality as a product of two gauge-theory factors; one originating from pure N = 2 super-Yang-Mills theory and the other from the dimensional reduction of a bosonic higher-dimensional pure Yang-Mills theory. We identify a specific symplectic frame in four dimensions for which the on-shell fields and amplitudes from the double-copy construction can be identified with the ones obtained from the supergravity Lagrangian and Feynman-rule computations. The Yang-Mills/Einstein supergravity theories are obtained by gauging a compact subgroup of the isometry group of their Maxwell-Einstein counterparts. For the generic Jordan family this process is identified with the introduction of cubic scalar couplings on the bosonic gauge-theory side, which through the double copy are responsible for the non-abelian vector interactions in the supergravity theory. As a demonstration of the power of this structure, we present explicit computations at treelevel and one loop. Lastly, the double-copy construction allows us to obtain compact expressions for the supergravity superamplitudes, which are naturally organized as polynomials in the gauge couplingmore » constant.« less

Authors:
 [1];  [2];  [3];  [2]
  1. Albert-Einstein Inst., Potsdam (Germany). Max-Planck-Inst. fur Gravitationsphysik
  2. Pennsylvania State Univ., University Park, PA (United States)
  3. European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Division, Physics Dept.
Publication Date:
Research Org.:
Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1440909
Grant/Contract Number:  
SC0010534; SC0008745
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Scattering; Amplitudes; Extended Supersymmetry; Supergravity; Models

Citation Formats

Chiodaroli, Marco, Gunaydin, Murat, Johansson, Henrik, and Roiban, Radu. Scattering amplitudes in $\mathcal{N}=2 $ Maxwell-Einstein and Yang-Mills/Einstein supergravity. United States: N. p., 2015. Web. doi:10.1007/JHEP01(2015)081.
Chiodaroli, Marco, Gunaydin, Murat, Johansson, Henrik, & Roiban, Radu. Scattering amplitudes in $\mathcal{N}=2 $ Maxwell-Einstein and Yang-Mills/Einstein supergravity. United States. doi:10.1007/JHEP01(2015)081.
Chiodaroli, Marco, Gunaydin, Murat, Johansson, Henrik, and Roiban, Radu. Thu . "Scattering amplitudes in $\mathcal{N}=2 $ Maxwell-Einstein and Yang-Mills/Einstein supergravity". United States. doi:10.1007/JHEP01(2015)081. https://www.osti.gov/servlets/purl/1440909.
@article{osti_1440909,
title = {Scattering amplitudes in $\mathcal{N}=2 $ Maxwell-Einstein and Yang-Mills/Einstein supergravity},
author = {Chiodaroli, Marco and Gunaydin, Murat and Johansson, Henrik and Roiban, Radu},
abstractNote = {We expose a double-copy structure in the scattering amplitudes of the generic Jordan family of N = 2 Maxwell-Einstein and Yang-Mills/Einstein supergravity theories in four and five dimensions. The Maxwell-Einstein supergravity amplitudes are obtained through the color/kinematics duality as a product of two gauge-theory factors; one originating from pure N = 2 super-Yang-Mills theory and the other from the dimensional reduction of a bosonic higher-dimensional pure Yang-Mills theory. We identify a specific symplectic frame in four dimensions for which the on-shell fields and amplitudes from the double-copy construction can be identified with the ones obtained from the supergravity Lagrangian and Feynman-rule computations. The Yang-Mills/Einstein supergravity theories are obtained by gauging a compact subgroup of the isometry group of their Maxwell-Einstein counterparts. For the generic Jordan family this process is identified with the introduction of cubic scalar couplings on the bosonic gauge-theory side, which through the double copy are responsible for the non-abelian vector interactions in the supergravity theory. As a demonstration of the power of this structure, we present explicit computations at treelevel and one loop. Lastly, the double-copy construction allows us to obtain compact expressions for the supergravity superamplitudes, which are naturally organized as polynomials in the gauge coupling constant.},
doi = {10.1007/JHEP01(2015)081},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2015,
place = {United States},
year = {2015},
month = {1}
}

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