Momentum dependent flavor radiative corrections to the coherent elastic neutrino-nucleus scattering for the neutrino charge-radius determination

Abstract

Despite being neutral particles, neutrinos can have a non-zero charge radius, which represents the only non-null neutrino electromagnetic property in the standard model theory. Its value can be predicted with high accuracy and its effect is usually accounted for through the definition of a radiative correction affecting the neutrino couplings to electrons and nucleons at low energy, which results effectively in a shift of the weak mixing angle. Interestingly, it introduces a flavour-dependence in the cross-section. Exploiting available neutrino-electron and coherent elastic neutrino-nucleus scattering (CE$\nu$NS) data, there have been many attempts to measure experimentally the neutrino charge radius. Unfortunately, the current precision allows one to only determine constraints on its value. In this work, we discuss how to properly account for the neutrino charge radius in the CE$\nu$NS cross-section including the effects of the non-null momentum-transfer in the neutrino electromagnetic form factor, which have been usually neglected when deriving the aforementioned limits. We apply the formalism discussed to a re-analysis of the COHERENT cesium iodide and argon samples and the NCC-1701 germanium data from the Dresden-II nuclear power plant. We quantify the impact of this correction on the CE$\nu$NS cross-section and we show that, despite being small, it can not be neglected in the analysis of data from future high-precision experiments. Furthermore, this momentum dependence can be exploited to significantly reduce the allowed values for the neutrino charge radius determination.

12 pages, 5 figures, 1 table. Matches the published version

References in corpus (7)

• Measurement of Coherent Elastic Neutrino-Nucleus Scattering from reactor antineutrinos
• Physics implications of a combined analysis of COHERENT CsI and LAr data
• Flavor-dependent radiative corrections in coherent elastic neutrino-nucleus scattering
• Impact of the Dresden-II and COHERENT neutrino scattering data on neutrino electromagnetic properties and electroweak physics
• Nuclear neutron radius and weak mixing angle measurements from latest COHERENT CsI and atomic parity violation Cs data
• A view of Coherent Elastic Neutrino-Nucleus Scattering
• Searching for new physics effects in future $W$ mass and ${\sin }^2{\theta }_W(Q^2)$ determinations

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• Refined determination of the weak mixing angle at low energy
• Joint analysis of reactor and accelerator CE$\nu$NS data on germanium: implications for the Standard Model and nuclear physics
• Constraints on New Physics with Light Mediators and Generalized Neutrino Interactions via Coherent Elastic Neutrino Nucleus Scattering
• Standard Model Tested with Neutrinos
• Constraining neutrino electromagnetic properties with recent low-energy electron recoil data at dark matter direct detection experiments
• New light mediators and the neutrino fog: Implications from XENONnT nuclear recoil data
• When backgrounds become signals: neutrino interactions in xenon-based dark matter detectors
• Phenomenological implications of the high-precision COHERENT germanium CE$\nu$NS data
• Prospect of the NUCLEUS Experiment at Chooz for Coherent Elastic Neutrino-Nucleus Scattering and New Physics Searches
• The potential of directional neutrino detection to observe neutrino spin oscillations