## 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 »

- Authors:

- Albert-Einstein Inst., Potsdam (Germany). Max-Planck-Inst. fur Gravitationsphysik
- Pennsylvania State Univ., University Park, PA (United States)
- 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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