Neutrino Magnetic Moment, CP Violation and Flavor Oscillations in Matter

Abstract

We consider collective oscillations of neutrinos, which are emergent nonlinear flavor evolution phenomena instigated by neutrino-neutrino interactions in astrophysical environments with sufficiently high neutrino densities. We investigate the symmetries of the problem in the full three flavor mixing scheme and in the exact many-body formulation by including the effects of CP violation and neutrino magnetic moment. We show that, similar to the two flavor scheme, several dynamical symmetries exist for three flavors in the single-angle approximation if the net electron background in the environment and the effects of the neutrino magnetic moment are negligible. Moreover, we show that these dynamical symmetries are present even when the CP symmetry is violated in neutrino oscillations. We explicitly write down the constants of motion through which these dynamical symmetries manifest themselves in terms of the generators of the SU(3) flavor transformations. We also show that the effects due to the CP-violating Dirac phase factor out of the many-body evolution operator and evolve independently of nonlinear flavor transformations if neutrino electromagnetic interactions are ignored. In the presence of a strong magnetic field, CP-violating effects can still be considered independently provided that an effective definition for neutrino magnetic moment is used.

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Cited by in corpus (11)

• Neutrino-antineutrino correlations in dense anisotropic media
• Possible effects of collective neutrino oscillations in the three flavor multi-angle simulations on supernova $\nu p$ process
• Entanglement in three-flavor collective neutrino oscillations
• Prospects for Neutrino Spin Coherence in Supernovae
• Collective Neutrino Oscillations in Three Flavors on Qubit and Qutrit Processors
• Exploring entanglement and spectral split correlations in three-flavor collective neutrino oscillations
• Time dependent signatures of core-collapse supernova neutrinos at HALO
• Spin-Flavor Precession Phase Effects in Supernova
• Nuclear Physics and Astrophysics of Neutrino Oscillations
• Astrophysical Neutrinos and Flavor Evolution With Self Interaction
• Neutrinos, Rare Isotopes of Exotic Nuclei and Nuclear Astrophysics