<p>We investigate the sensitivity of a companion neutrino detector situated in the plane of a high-energy, high-intensity muon storage ring to elastic <i>ν</i><sub><i>μ</i></sub> and <i>ν</i><sub><i>e</i></sub> scattering on electrons (E<i>ν</i>ES). Assuming a muon collider with center-of-mass energies of up to 10 TeV, we report sensitivity to the weak couplings <i>g</i><sub><i>V</i></sub> and <i>g</i><sub><i>A</i></sub> up to around 0.05% relative error, and sensitivity to the weak mixing angle in the momentum transfer <i>Q</i> ∈ [10<sup><i>−</i>2</sup>, 2] GeV range up to around 0.03% relative error. E<i>ν</i>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<sup>2</sup> θ<sub><i>W</i></sub>. We estimate that with the neutrinos from a <i>E</i><sub><i>μ</i></sub> = 1.5 TeV (or higher) muon collider, the hypothesis that sin<sup>2</sup> <i>θ</i><sub><i>W</i></sub> does not “run” can be safely ruled out.</p>

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Electroweak observables in neutrino-electron scattering from a muon storage ring

  • André de Gouvêa,
  • Adrian Thompson

摘要

We investigate the sensitivity of a companion neutrino detector situated in the plane of a high-energy, high-intensity muon storage ring to elastic νμ and νe scattering on electrons (EνES). Assuming a muon collider with center-of-mass energies of up to 10 TeV, we report sensitivity to the weak couplings gV and gA up to around 0.05% relative error, and sensitivity to the weak mixing angle in the momentum transfer Q ∈ [102, 2] GeV range up to around 0.03% relative error. EνES 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 sin2 θW. We estimate that with the neutrinos from a Eμ = 1.5 TeV (or higher) muon collider, the hypothesis that sin2 θW does not “run” can be safely ruled out.