Electroweak Observables in Neutrino-Electron Scattering from a Muon Storage Ring
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| Format: | Preprint |
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2025
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| _version_ | 1866908604018196480 |
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| author | de Gouvêa, André Thompson, Adrian |
| author_facet | de Gouvêa, André Thompson, Adrian |
| contents | We investigate the sensitivity of a companion neutrino detector situated in the plane of a high-energy, high-intensity muon storage ring to elastic $ν_μ$ and $ν_e$ scattering on electrons (E$ν$ES). Assuming a muon collider with center-of-mass energies of up to 10~TeV, we report sensitivity to the weak couplings $g_V$ and $g_A$ up to around 0.05% relative error, and sensitivity to the weak mixing angle in the momentum transfer $Q \in [10^{-2}, 2]$~GeV range up to around 0.03% relative error. E$ν$ES measurements with high-energy muon storage rings allow one to directly interrogate the momentum-transfer regime associated with the NuTeV anomaly. This level of precision allows unique sensitivity to the momentum-dependence of $\sin^2θ_W$. We estimate that with the neutrinos from a $E_μ= 1.5$~TeV (or higher) muon collider, the hypothesis that $\sin^2θ_W$ does not ``run'' can be safely ruled out. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_00152 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Electroweak Observables in Neutrino-Electron Scattering from a Muon Storage Ring de Gouvêa, André Thompson, Adrian High Energy Physics - Phenomenology High Energy Physics - Experiment We investigate the sensitivity of a companion neutrino detector situated in the plane of a high-energy, high-intensity muon storage ring to elastic $ν_μ$ and $ν_e$ scattering on electrons (E$ν$ES). Assuming a muon collider with center-of-mass energies of up to 10~TeV, we report sensitivity to the weak couplings $g_V$ and $g_A$ up to around 0.05% relative error, and sensitivity to the weak mixing angle in the momentum transfer $Q \in [10^{-2}, 2]$~GeV range up to around 0.03% relative error. E$ν$ES measurements with high-energy muon storage rings allow one to directly interrogate the momentum-transfer regime associated with the NuTeV anomaly. This level of precision allows unique sensitivity to the momentum-dependence of $\sin^2θ_W$. We estimate that with the neutrinos from a $E_μ= 1.5$~TeV (or higher) muon collider, the hypothesis that $\sin^2θ_W$ does not ``run'' can be safely ruled out. |
| title | Electroweak Observables in Neutrino-Electron Scattering from a Muon Storage Ring |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2505.00152 |