Recursion relations from soft theorems

Abstract

We establish a set of new on-shell recursion relations for amplitudes satisfying soft theorems. The recursion relations can apply to those amplitudes whose additional physical inputs from soft theorems are enough to overcome the bad large-z behaviour. This work is a generalization of the recursion relations recently obtained by Cheung et al for amplitudes in scalar effective field theories with enhanced vanishing soft behaviours, which can be regarded as a special case of those with non-vanishing soft limits. We apply the recursion relations to tree-level amplitudes in various theories, including amplitudes in the Akulov-Volkov theory, amplitudes containing dilatons of spontaneously-broken conformal symmetry.

21 pages, typos and some statements modified, references added

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• Origin of Soft Limits from Nonlinear Supersymmetry in Volkov-Akulov Theory
• Nonrelativistic effective field theories with enhanced symmetries and soft behavior
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• Nonlinear (Super)Symmetries and Amplitudes
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