A Caltech Library Service

Positive Signs in Massive Gravity

Cheung, Clifford and Remmen, Grant N. (2016) Positive Signs in Massive Gravity. Journal of High Energy Physics, 2016 (4). Art. No. 002. ISSN 1126-6708. doi:10.1007/JHEP04(2016)002.

[img] PDF - Published Version
Creative Commons Attribution.

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


We derive new constraints on massive gravity from unitarity and analyticity of scattering amplitudes. Our results apply to a general effective theory defined by Einstein gravity plus the leading soft diffeomorphism-breaking corrections. We calculate scattering amplitudes for all combinations of tensor, vector, and scalar polarizations. The high-energy behavior of these amplitudes prescribes a specific choice of couplings that ameliorates the ultraviolet cutoff, in agreement with existing literature. We then derive consistency conditions from analytic dispersion relations, which dictate positivity of certain combinations of parameters appearing in the forward scattering amplitudes. These constraints exclude all but a small island in the parameter space of ghost-free massive gravity. While the theory of the “Galileon” scalar mode alone is known to be inconsistent with positivity constraints, this is remedied in the full massive gravity theory.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper DOIArticle
Remmen, Grant N.0000-0001-6569-8866
Additional Information:© 2016 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: February 4, 2016; Accepted: March 19, 2016; Published: April 1, 2016. We thank Brando Bellazzini, Claudia de Rham, Kurt Hinterbichler, Rachel Rosen, and Andrew Tolley for useful discussions and comments. C.C. is supported by a Sloan Research Fellowship and a DOE Early Career Award under Grant No. DE-SC0010255. G.N.R. is supported by a Hertz Graduate Fellowship and a NSF Graduate Research Fellowship under Grant No. DGE-1144469.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Alfred P. Sloan FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0010255
Fannie and John Hertz FoundationUNSPECIFIED
NSF Graduate Research FellowshipDGE-1144469
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Issue or Number:4
Record Number:CaltechAUTHORS:20160125-191623950
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:63952
Deposited By: Joy Painter
Deposited On:26 Jan 2016 18:43
Last Modified:10 Nov 2021 23:23

Repository Staff Only: item control page