Atoms as electron accelerators for measuring the $e^+e^- \to\,$hadrons cross section
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916433376575488 |
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| author | Arias-Aragón, Fernando Darmé, Luc di Cortona, Giovanni Grilli Nardi, Enrico |
| author_facet | Arias-Aragón, Fernando Darmé, Luc di Cortona, Giovanni Grilli Nardi, Enrico |
| contents | The hadronic vacuum polarization contribution to $(g-2)_μ$ can be determined via dispersive methods from $e^+e^-\to\;$hadrons data. We propose a novel approach to measure the hadronic cross section $σ_{\mathrm{had}}$ as an alternative to the initial-state radiation and energy scan techniques, which relies on positron annihilation off atomic electrons of a high $Z$ target ($^{238}$U, $Z=92$). We show that by leveraging the relativistic electron velocities of the inner atomic shells, a high-intensity $12\,$GeV positron beam, such as the one foreseen at JLab, can allow to measure $σ_{\mathrm{had}}$ with high statistical accuracy from the two-pion threshold up to above $\sqrt{s} \sim 1\,$GeV. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_15941 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Atoms as electron accelerators for measuring the $e^+e^- \to\,$hadrons cross section Arias-Aragón, Fernando Darmé, Luc di Cortona, Giovanni Grilli Nardi, Enrico High Energy Physics - Phenomenology High Energy Physics - Experiment The hadronic vacuum polarization contribution to $(g-2)_μ$ can be determined via dispersive methods from $e^+e^-\to\;$hadrons data. We propose a novel approach to measure the hadronic cross section $σ_{\mathrm{had}}$ as an alternative to the initial-state radiation and energy scan techniques, which relies on positron annihilation off atomic electrons of a high $Z$ target ($^{238}$U, $Z=92$). We show that by leveraging the relativistic electron velocities of the inner atomic shells, a high-intensity $12\,$GeV positron beam, such as the one foreseen at JLab, can allow to measure $σ_{\mathrm{had}}$ with high statistical accuracy from the two-pion threshold up to above $\sqrt{s} \sim 1\,$GeV. |
| title | Atoms as electron accelerators for measuring the $e^+e^- \to\,$hadrons cross section |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2407.15941 |