Gauged Soft Recursion: On-Shell Construction of Goldstone-Gauge Amplitudes
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arXiv
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| Format: | Preprint |
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2025
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| author | Low, Ian Xiao, Ming-Lei Zheng, Yu-Hui |
| author_facet | Low, Ian Xiao, Ming-Lei Zheng, Yu-Hui |
| contents | We present a new on-shell recursion relation for scattering amplitudes involving Nambu-Goldstone bosons with a gauged unbroken symmetry. A central challenge is that gauge interactions break Adler's zero condition for charged scalars, invalidating the standard soft recursion. To overcome this, we introduce a ``gauged soft recursion'' that leverages the soft theorems of the gauge bosons themselves, combined with a novel decomposition of amplitudes into gauge-invariant components where Adler's zero is partially restored. The formalism, which also incorporates internal gauge bosons via angular momentum constraints, enables the systematic construction of tree-level amplitudes with arbitrary numbers of Goldstone bosons and gauge bosons in both Abelian and non-Abelian theories, as we demonstrate with explicit examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09403 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gauged Soft Recursion: On-Shell Construction of Goldstone-Gauge Amplitudes Low, Ian Xiao, Ming-Lei Zheng, Yu-Hui High Energy Physics - Theory High Energy Physics - Phenomenology Nuclear Theory We present a new on-shell recursion relation for scattering amplitudes involving Nambu-Goldstone bosons with a gauged unbroken symmetry. A central challenge is that gauge interactions break Adler's zero condition for charged scalars, invalidating the standard soft recursion. To overcome this, we introduce a ``gauged soft recursion'' that leverages the soft theorems of the gauge bosons themselves, combined with a novel decomposition of amplitudes into gauge-invariant components where Adler's zero is partially restored. The formalism, which also incorporates internal gauge bosons via angular momentum constraints, enables the systematic construction of tree-level amplitudes with arbitrary numbers of Goldstone bosons and gauge bosons in both Abelian and non-Abelian theories, as we demonstrate with explicit examples. |
| title | Gauged Soft Recursion: On-Shell Construction of Goldstone-Gauge Amplitudes |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2511.09403 |