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Theory of elastic neutrino-electron scattering
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abstract
Theoretical predictions for elastic neutrino-electron scattering have no hadronic or nuclear uncertainties at leading order making this process an important tool for normalizing neutrino flux. However, the process is subject to large radiative corrections that differ according to experimental conditions. In this paper, we collect new and existing results for total and differential cross sections accompanied by radiation of one photon, $\nu e \to \nu e (\gamma)$. We perform calculations within the Fermi effective theory and provide analytic expressions for the electron energy spectrum and for the total electromagnetic energy spectrum as well as for double- and triple-differential cross sections with respect to electron energy, electron angle, photon energy, and photon angle. We discuss illustrative applications to accelerator-based neutrino experiments and provide the most precise up-to-date values of neutrino-electron scattering cross sections. We present an analysis of theoretical error, which is dominated by the $\sim 0.2 - 0.4\%$ uncertainty of the hadronic correction. We also discuss how searches for new physics can be affected by radiative corrections.
Forward citations
Cited by 4 Pith papers
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Radiative corrections to neutral-current (anti)neutrino-nucleon elastic scattering are computed within low-energy EFT and reach a few percent, comparable to the strange-quark effects they must be disentangled from.
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Testing the Gallium anomaly using Electron-Neutrino Scattering
A 51Cr source and electron-neutrino scattering in liquid scintillators could independently test the Gallium anomaly, estimate the 51Cr branching ratio, and probe sterile-neutrino baseline dependence.
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Elastic neutrino-electron scattering perspectives at nuclear reactors
Projections show CLOUD and TAO could improve low-energy weak mixing angle measurements to 8-11% via elastic neutrino-electron scattering, with competitive magnetic moment and NSI limits.
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Elastic Neutrino-electron Scattering at the One-loop Level in the Standard Model
An updated complete one-loop Standard Model calculation of elastic neutrino-electron scattering, validated against prior calculations, is used to predict JUNO and TAO event rates.
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