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Probing scalar effective field theories with the soft limits of scattering amplitudes

Padilla, Antonio; Stefanyszyn, David; Wilson, Toby

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Authors

David Stefanyszyn

Toby Wilson



Abstract

We investigate the soft behaviour of scalar effective field theories (EFTs) when there is a number of distinct derivative power counting parameters, ?1 < ?2 < . . . < ?Q. We clarify the notion of an enhanced soft limit and use these to extend the scope of onshell recursion techniques for scalar EFTs. As an example, we perform a detailed study of theories with two power counting parameters, ?1 = 1 and ?2 = 2, that include the shift symmetric generalised galileons. We demonstrate that the minimally enhanced soft limit uniquely picks out the Dirac-Born-Infeld (DBI) symmetry, including DBI galileons. For the exceptional soft limit we uniquely pick out the special galileon within the class of theories under investigation. We study the DBI galileon amplitudes more closely, verifying the validity of the recursion techniques in generating the six point amplitude, and explicitly demonstrating the invariance of all amplitudes under DBI galileon duality.

Citation

Padilla, A., Stefanyszyn, D., & Wilson, T. (2017). Probing scalar effective field theories with the soft limits of scattering amplitudes. Journal of High Energy Physics, 2017(4), https://doi.org/10.1007/JHEP04%282017%29015

Journal Article Type Article
Acceptance Date Mar 12, 2017
Publication Date Apr 4, 2017
Deposit Date Apr 21, 2017
Publicly Available Date Mar 29, 2024
Journal Journal of High Energy Physics
Electronic ISSN 1029-8479
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 2017
Issue 4
DOI https://doi.org/10.1007/JHEP04%282017%29015
Keywords Effective Field Theories, Global Symmetries, Scattering Amplitudes
Public URL https://nottingham-repository.worktribe.com/output/854430
Publisher URL https://link.springer.com/article/10.1007%2FJHEP04%282017%29015

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