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| Natura: | Preprint |
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2024
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| Accesso online: | https://arxiv.org/abs/2402.12087 |
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| _version_ | 1866929267511656448 |
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| author | Fabri, Matheus Polvara, Davide |
| author_facet | Fabri, Matheus Polvara, Davide |
| contents | In this paper we extend the study initiated in arXiv:2302.04709v2 [hep-th] to the computation of one-loop elastic amplitudes. We consider 1+1 dimensional massive bosonic Lagrangians with polynomial-like potentials and absence of inelastic processes at the tree level; starting from these assumptions we show how to write sums of one-loop diagrams as products and integrals of tree-level amplitudes. We derive in this way a universal formula for the one-loop two-to-two S-matrices in terms of tree S-matrices. We test our results on different integrable theories, such as sinh-Gordon, Bullough Dodd and the full class of simply-laced affine Toda theories, finding perfect agreement with the bootstrapped S-matrices known in the literature. We show how Landau singularities in amplitudes are naturally captured by our universal formula while they are lost in results based on unitarity-cut methods implemented in the past arXiv:1304.1798v3 [hep-th], arXiv:1405.7947v2 [hep-th]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12087 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | One-loop elastic amplitudes from tree-level elasticity in 2d Fabri, Matheus Polvara, Davide High Energy Physics - Theory In this paper we extend the study initiated in arXiv:2302.04709v2 [hep-th] to the computation of one-loop elastic amplitudes. We consider 1+1 dimensional massive bosonic Lagrangians with polynomial-like potentials and absence of inelastic processes at the tree level; starting from these assumptions we show how to write sums of one-loop diagrams as products and integrals of tree-level amplitudes. We derive in this way a universal formula for the one-loop two-to-two S-matrices in terms of tree S-matrices. We test our results on different integrable theories, such as sinh-Gordon, Bullough Dodd and the full class of simply-laced affine Toda theories, finding perfect agreement with the bootstrapped S-matrices known in the literature. We show how Landau singularities in amplitudes are naturally captured by our universal formula while they are lost in results based on unitarity-cut methods implemented in the past arXiv:1304.1798v3 [hep-th], arXiv:1405.7947v2 [hep-th]. |
| title | One-loop elastic amplitudes from tree-level elasticity in 2d |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.12087 |