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

We investigate the soft behaviour of scalar effective field theories (EFTs) when there is a number of distinct derivative power counting parameters, ρ1 < ρ2 < . . . < ρQ. We clarify the notion of an enhanced soft limit and use these to extend the scope of onshell recursion techniques for sc...

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Main Authors: Padilla, Antonio, Stefanyszyn, David, Wilson, Toby
Format: Article
Published: Springer 2017
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Online Access:https://eprints.nottingham.ac.uk/42167/
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author Padilla, Antonio
Stefanyszyn, David
Wilson, Toby
author_facet Padilla, Antonio
Stefanyszyn, David
Wilson, Toby
author_sort Padilla, Antonio
building Nottingham Research Data Repository
collection Online Access
description We investigate the soft behaviour of scalar effective field theories (EFTs) when there is a number of distinct derivative power counting parameters, ρ1 < ρ2 < . . . < ρQ. 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, ρ1 = 1 and ρ2 = 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.
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spelling nottingham-421672020-05-04T18:40:47Z https://eprints.nottingham.ac.uk/42167/ Probing scalar effective field theories with the soft limits of scattering amplitudes Padilla, Antonio Stefanyszyn, David Wilson, Toby We investigate the soft behaviour of scalar effective field theories (EFTs) when there is a number of distinct derivative power counting parameters, ρ1 < ρ2 < . . . < ρQ. 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, ρ1 = 1 and ρ2 = 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. Springer 2017-04-04 Article PeerReviewed Padilla, Antonio, Stefanyszyn, David and Wilson, Toby (2017) Probing scalar effective field theories with the soft limits of scattering amplitudes. Journal of High Energy Physics, 2017 (4). pp. 1-18. ISSN 1029-8479 Effective Field Theories Global Symmetries Scattering Amplitudes https://link.springer.com/article/10.1007%2FJHEP04%282017%29015 doi:10.1007/JHEP04(2017)015 doi:10.1007/JHEP04(2017)015
spellingShingle Effective Field Theories
Global Symmetries
Scattering Amplitudes
Padilla, Antonio
Stefanyszyn, David
Wilson, Toby
Probing scalar effective field theories with the soft limits of scattering amplitudes
title Probing scalar effective field theories with the soft limits of scattering amplitudes
title_full Probing scalar effective field theories with the soft limits of scattering amplitudes
title_fullStr Probing scalar effective field theories with the soft limits of scattering amplitudes
title_full_unstemmed Probing scalar effective field theories with the soft limits of scattering amplitudes
title_short Probing scalar effective field theories with the soft limits of scattering amplitudes
title_sort probing scalar effective field theories with the soft limits of scattering amplitudes
topic Effective Field Theories
Global Symmetries
Scattering Amplitudes
url https://eprints.nottingham.ac.uk/42167/
https://eprints.nottingham.ac.uk/42167/
https://eprints.nottingham.ac.uk/42167/