Published January 29, 2016 | Version Submitted + Published
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On-Shell Recursion Relations for Effective Field Theories

Abstract

We derive the first ever on-shell recursion relations applicable to effective field theories. Based solely on factorization and the soft behavior of amplitudes, these recursion relations employ a new rescaling momentum shift to construct all tree-level scattering amplitudes in the nonlinear sigma model, Dirac-Born-Infeld theory, and the Galileon. Our results prove that all theories with enhanced soft behavior are on-shell constructible.

Additional Information

© 2016 American Physical Society. This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Received 18 September 2015; published 25 January 2016. We thank John Schwarz and Stanley Deser for discussions. This work is supported in part by Czech Government Projects No. LH14035 and No. GACR 15-18080S. J. T. is supported by the David and Ellen Lee Scholarship and DOE under Grant No. DE-SC0011632, and C. C. and C.-H. S. are supported by a Sloan Research Fellowship and a DOE Early Career Award under Grant No. DE-SC0010255. This work was performed in part at the Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1066293.

Attached Files

Published - PhysRevLett.116.041601.pdf

Submitted - 1509.03309v1.pdf

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Additional details

Identifiers

Eprint ID
61423
Resolver ID
CaltechAUTHORS:20151022-121225042

Related works

Funding

Czech Government
LH14035
Czech Government
GACR 15-18080S
David and Ellen Lee Postdoctoral Scholarship
Department of Energy (DOE)
DESC0011632
Alfred P. Sloan Foundation
Department of Energy (DOE)
DE-SC0010255
NSF
PHY-1066293

Dates

Created
2015-10-22
Created from EPrint's datestamp field
Updated
2021-11-10
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Walter Burke Institute for Theoretical Physics
Other Numbering System Name
CALT-TH
Other Numbering System Identifier
2015-047