Scaling laws of elastic proton-proton scattering differential cross sections
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917683616808960 |
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| author | Baldenegro, Cristian Praszalowicz, Michal Royon, Christophe Stasto, Anna M. |
| author_facet | Baldenegro, Cristian Praszalowicz, Michal Royon, Christophe Stasto, Anna M. |
| contents | We show that elastic scattering $pp \to pp $ differential cross sections as function of the four-momentum transfer square $|t|$ have a universal property, such that the ratio of bump-to-dip positions is constant from the energies of the ISR to the LHC, from tens of GeV and up to the TeV scale. We explore this property to compare the geometrical scaling observed at the ISR with the recently proposed scaling law at the LHC. We argue that, at the LHC, within present experimental uncertainties, there is in fact a family of scaling laws. We discuss the constraints that the scaling laws impose on the parametrization of the elastic $pp\to pp$ scattering amplitude. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_01737 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scaling laws of elastic proton-proton scattering differential cross sections Baldenegro, Cristian Praszalowicz, Michal Royon, Christophe Stasto, Anna M. High Energy Physics - Phenomenology We show that elastic scattering $pp \to pp $ differential cross sections as function of the four-momentum transfer square $|t|$ have a universal property, such that the ratio of bump-to-dip positions is constant from the energies of the ISR to the LHC, from tens of GeV and up to the TeV scale. We explore this property to compare the geometrical scaling observed at the ISR with the recently proposed scaling law at the LHC. We argue that, at the LHC, within present experimental uncertainties, there is in fact a family of scaling laws. We discuss the constraints that the scaling laws impose on the parametrization of the elastic $pp\to pp$ scattering amplitude. |
| title | Scaling laws of elastic proton-proton scattering differential cross sections |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2406.01737 |