On-Shell Recursion Relations for Effective Field Theories

Creators: Cheung, Clifford; Kampf, Karol; Novotny, Jiri; Shen, Chia-Hsien; Trnka, Jaroslav

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.

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Published - PhysRevLett.116.041601.pdf

Submitted - 1509.03309v1.pdf

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