Taming forward scattering singularities in partial waves
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917001285337088 |
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| author | Zamoro, Marta Fuentes Grinstein, Benjamín Quílez, Pablo |
| author_facet | Zamoro, Marta Fuentes Grinstein, Benjamín Quílez, Pablo |
| contents | Perturbative partial-wave amplitudes diverge in cases with a massless exchanged particle in the $t$-channel. We argue that the divergence is an artifact of perturbation theory and give a prescription for the all-orders correction factor that renders the partial waves finite. As an example, we apply this to longitudinal $W^+W^-$ elastic scattering, for which there is a photon exchange $t$-channel contribution, and derive improved quasi-perturbative unitarity bounds on the mass of the Higgs. The method is also useful for $t$-channel exchange of very light particles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_08784 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Taming forward scattering singularities in partial waves Zamoro, Marta Fuentes Grinstein, Benjamín Quílez, Pablo High Energy Physics - Phenomenology High Energy Physics - Theory Perturbative partial-wave amplitudes diverge in cases with a massless exchanged particle in the $t$-channel. We argue that the divergence is an artifact of perturbation theory and give a prescription for the all-orders correction factor that renders the partial waves finite. As an example, we apply this to longitudinal $W^+W^-$ elastic scattering, for which there is a photon exchange $t$-channel contribution, and derive improved quasi-perturbative unitarity bounds on the mass of the Higgs. The method is also useful for $t$-channel exchange of very light particles. |
| title | Taming forward scattering singularities in partial waves |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.08784 |