Gauged soft recursion: on-shell construction of Goldstone-gauge amplitudes
- Argonne; Northwestern U.
- SYSU, Guangzhou
- Korea Inst. Advanced Study, Seoul
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 [1]. 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.
- Research Organization:
- Argonne National Laboratory (ANL), Argonne, IL (United States); Korea Inst. Advanced Study, Seoul; Northwestern U.; SYSU, Guangzhou
- Sponsoring Organization:
- US Department of Energy
- Grant/Contract Number:
- 89243024CSC000002
- OSTI ID:
- 3024650
- Alternate ID(s):
- OSTI ID: 3028562
OSTI ID: 3026736
- Report Number(s):
- FERMILAB-PUB-25-1013-V; oai:inspirehep.net:3082216; arXiv:2511.09403
- Journal Information:
- JHEP, Journal Name: JHEP Vol. 02
- Country of Publication:
- United States
- Language:
- English