A new recursion relation for tree-level NLSM amplitudes based on hidden zeros
Abstract
A bstract In this note, we propose a novel BCFW-like recursion relation for tree-level non-linear sigma model (NLSM) amplitudes, which circumvents the computation of boundary terms by exploiting the recently discovered hidden zeros. Using this recursion, we reproduce three remarkable features of tree-level NLSM amplitudes: (i) the Adler zero, (ii) the δ -shift construction, which generates NLSM amplitudes from Tr( ϕ 3 ) amplitudes, and (iii) the universal expansion of NLSM amplitudes into bi-adjoint scalar amplitudes. Our results demonstrate that the hidden zeros, combined with standard factorization on physical poles, uniquely determine all tree-level NLSM amplitudes.
Fields of Study & Subjects
Physics of Superconductivity and Magnetism
Nonlinear Waves and Solitons
Black Holes and Theoretical Physics
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 1
- Publication date
- 2 January 2026
- Language
- EN