The Sterile-Active Neutrino Flavor Model: the Imprint of Dark Matter on the Electron Neutrino Spectra

Abstract

Contact interactions between sterile neutrinos and dark matter particles in a hidden sector have been suggested as a good solution to simultaneously resolve the dark matter problem and anomalies in neutrino experiments. In this non-standard particle physics model, sterile and active neutrinos change their through vacuum oscillations and matter (or Mikheyev--Smirnov--Wolfenstein) oscillations, in which the latter mechanism of flavor oscillation depends strongly on the concentration of dark matter in the Sun's core. We found that a large concentration of dark matter in the Sun's interior changes substantially the shape of ${}^8\mathrm{B}$ and $\mathrm{hep}$ electron neutrino spectra, but has an insignificant impact on the other neutrino spectra (i.e., $\mathrm{pp}$, $\mathrm{pep}$, ${}^7\mathrm{Be}$ and ${}^{15}\mathrm{O}$, ${}^{13}\mathrm{N}$ and ${}^{17}\mathrm{F}$). The strength of the interaction of the dark matter particles with neutrinos depends on an effective coupling constant, $G_{\chi }$, which is an analog of the Fermi constant for the hidden sector. By using the latest ${}^8\mathrm{B}$ solar neutrino flux, we found that $G_{\chi }$ must be smaller than $0.5\times 10^9$ $G_{\mathrm{F}}$ for this particle physics model to be in agreement with the data.

arXiv comment10 pages, 7 figures, accepted for publication in ApJ

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