A new recursion relation for tree-level NLSM amplitudes based on hidden zeros
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913084014067712 |
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| author | Li, Xiaodi Zhou, Kang |
| author_facet | Li, Xiaodi Zhou, Kang |
| contents | 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 ${\rm Tr}(ϕ^3)$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12894 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A new recursion relation for tree-level NLSM amplitudes based on hidden zeros Li, Xiaodi Zhou, Kang High Energy Physics - Theory 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 ${\rm Tr}(ϕ^3)$ 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. |
| title | A new recursion relation for tree-level NLSM amplitudes based on hidden zeros |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.12894 |