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 and amplitudes containing dilatons of spontaneously-broken conformal symmetry.
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Luo, H., Wen, C. Recursion relations from soft theorems. J. High Energ. Phys. 2016, 88 (2016). https://doi.org/10.1007/JHEP03(2016)088
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DOI: https://doi.org/10.1007/JHEP03(2016)088