Diagrammatic Derivation of Hidden Zeros and Exact Factorisation of Pion Scattering Amplitudes
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912677157142528 |
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| author | Li, Yang Wang, Tianzhi Brauner, Tomáš Roest, Diederik |
| author_facet | Li, Yang Wang, Tianzhi Brauner, Tomáš Roest, Diederik |
| contents | Pion scattering amplitudes were recently found to vanish on specific kinematic loci, and to factorise close to these loci into a product of two lower-point amplitudes of an extended theory. We propose a diagrammatic representation of pion amplitudes that makes their vanishing on the loci manifest diagram by diagram. Moreover, we provide evidence that there is a closed-form expression for the amplitudes that generalises the near-zero factorisation in an exact manner, not only close to the loci but for all kinematic configurations. Our approach crucially relies on a novel formulation of the effective field theory of pions, in which tree-level scattering amplitudes are extracted from classical field equations for a set of covariantly conserved currents and emergent composite gauge fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14858 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Diagrammatic Derivation of Hidden Zeros and Exact Factorisation of Pion Scattering Amplitudes Li, Yang Wang, Tianzhi Brauner, Tomáš Roest, Diederik High Energy Physics - Theory Pion scattering amplitudes were recently found to vanish on specific kinematic loci, and to factorise close to these loci into a product of two lower-point amplitudes of an extended theory. We propose a diagrammatic representation of pion amplitudes that makes their vanishing on the loci manifest diagram by diagram. Moreover, we provide evidence that there is a closed-form expression for the amplitudes that generalises the near-zero factorisation in an exact manner, not only close to the loci but for all kinematic configurations. Our approach crucially relies on a novel formulation of the effective field theory of pions, in which tree-level scattering amplitudes are extracted from classical field equations for a set of covariantly conserved currents and emergent composite gauge fields. |
| title | Diagrammatic Derivation of Hidden Zeros and Exact Factorisation of Pion Scattering Amplitudes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.14858 |