Three-generation study of neutrino spin-flavor conversion in supernova and implication for neutrino magnetic moment

Abstract

We investigate resonant spin-flavor (RSF) conversions of supernova neutrinos which are induced by the interaction of neutrino magnetic moment and supernova magnetic fields. From the formulation which includes all three-flavor neutrinos and anti-neutrinos, we give a new crossing diagram that includes not only ordinary MSW resonance but also magnetically-induced RSF effect. With the diagram, it is found that four conversions occur in supernova, two are induced by the RSF effect and two by the pure MSW. We also numerically calculate neutrino conversions in supernova matter, using neutrino mixing parameters inferred from recent experimental results and a realistic supernova progenitor model. The results indicate that until 0.5 seconds after core bounce, the RSF-induced ${\bar{\nu }}_e\leftrightarrow {\nu }_{\tau }$ transition occurs efficiently (adiabatic resonance), when $μ_ν\agt 10^{-12} μ_B (B_0 / 5 \times 10^{9} \mathrm G)^{-1}$, where $B_0$ is the strength of the magnetic field at the surface of iron core. We also evaluate the energy spectrum as a function of ${\mu }_{\nu }{B}_0$ at the SuperKamiokande detector and the Sudbury Neutrino Observatory using the calculated conversion probabilities, and find that the spectral deformation might have possibility to provide useful information on neutrino magnetic moment as well as magnetic field strength in supernovae.

35 pages, 13 figures

References in corpus (4)

• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• Measurement of Day and Night Neutrino Energy Spectra at SNO and Constraints on Neutrino Mixing Parameters
• Physics with Supernovae
• Bounds on neutrino magnetic moment tensor from solar neutrinos

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