On-shell recursion relations for nonrelativistic effective field theories
Peer reviewed, Journal article
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Original versionPhysics Letters B. 2021, 822, . 10.1016/j.physletb.2021.136705
We derive on-shell recursion relations for nonrelativistic effective field theories (EFTs) with enhanced soft limits. The recursion relations are illustrated through analytic calculation of tree-level scattering amplitudes in theories with a complex Schrödinger-type field, real scalar with linear dispersion relation, and real scalar with Lifshitz-type dispersion relation. Our results show that the landscape of gapless nonrelativistic EFTs with local S-matrix can be constrained by soft theorems and the consistency of the low-energy S-matrix similarly to massless relativistic EFTs.