## Massive and massless spin-2 scattering and asymptotic superluminality

## Abstract

We constrain theories of a massive spin-2 particle coupled to a massless spin-2 particle by demanding the absence of a time advance in eikonal scattering. This is an S-matrix consideration that leads to model-independent constraints on the cubic vertices present in the theory. Of the possible cubic vertices for the two spin-2 particles, the requirement of subluminality leaves a particular linear combination of cubic vertices of the Einstein-Hilbert type. Either the cubic vertices must appear in this combination or new physics must enter at a scale parametrically the same as the mass of the massive spin-2 field, modulo some standard caveats. These conclusions imply that there is a one-parameter family of ghost-free bimetric theories of gravity that are consistent with subluminal scattering. When both particles couple to additional matter, subluminality places additional constraints on the matter couplings. We lastly reproduce these constraints by considering classical scattering off of a shockwave background in the ghost-free bimetric theory.

- Authors:

- Case Western Reserve Univ., Cleveland, OH (United States)
- Columbia Univ., New York, NY (United States)

- Publication Date:

- Research Org.:
- Columbia Univ., New York, NY (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1499148

- Grant/Contract Number:
- SC0011941

- 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: 2018; Journal Issue: 6; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Classical Theories of Gravity; Effective Field Theories; Scattering Amplitudes

### Citation Formats

```
Bonifacio, James, Hinterbichler, Kurt, Joyce, Austin, and Rosen, Rachel A. Massive and massless spin-2 scattering and asymptotic superluminality. United States: N. p., 2018.
Web. doi:10.1007/jhep06(2018)075.
```

```
Bonifacio, James, Hinterbichler, Kurt, Joyce, Austin, & Rosen, Rachel A. Massive and massless spin-2 scattering and asymptotic superluminality. United States. doi:10.1007/jhep06(2018)075.
```

```
Bonifacio, James, Hinterbichler, Kurt, Joyce, Austin, and Rosen, Rachel A. Thu .
"Massive and massless spin-2 scattering and asymptotic superluminality". United States. doi:10.1007/jhep06(2018)075. https://www.osti.gov/servlets/purl/1499148.
```

```
@article{osti_1499148,
```

title = {Massive and massless spin-2 scattering and asymptotic superluminality},

author = {Bonifacio, James and Hinterbichler, Kurt and Joyce, Austin and Rosen, Rachel A.},

abstractNote = {We constrain theories of a massive spin-2 particle coupled to a massless spin-2 particle by demanding the absence of a time advance in eikonal scattering. This is an S-matrix consideration that leads to model-independent constraints on the cubic vertices present in the theory. Of the possible cubic vertices for the two spin-2 particles, the requirement of subluminality leaves a particular linear combination of cubic vertices of the Einstein-Hilbert type. Either the cubic vertices must appear in this combination or new physics must enter at a scale parametrically the same as the mass of the massive spin-2 field, modulo some standard caveats. These conclusions imply that there is a one-parameter family of ghost-free bimetric theories of gravity that are consistent with subluminal scattering. When both particles couple to additional matter, subluminality places additional constraints on the matter couplings. We lastly reproduce these constraints by considering classical scattering off of a shockwave background in the ghost-free bimetric theory.},

doi = {10.1007/jhep06(2018)075},

journal = {Journal of High Energy Physics (Online)},

number = 6,

volume = 2018,

place = {United States},

year = {2018},

month = {6}

}

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