Neutrino mixing and Lorentz invariance

Abstract

We use previous work on the Hilbert space for mixed fields to derive deformed dispersion relations for neutrino flavor states. We then discuss how these dispersion relations may be incorporated into frameworks encoding the breakdown of Lorentz invariance. We consider non-linear relativity schemes (of which doubly special relativity is an example), and also frameworks allowing for the existence of a preferred frame. In both cases we derive expressions for the spectrum and end-point of beta decay, which may be used as an experimental probe of the peculiar way in which neutrinos experience Lorentz invariance.

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Cited by in corpus (15)

• Modern tests of Lorentz invariance
• Quantum Spacetime Phenomenology
• OPERA-reassessing data on the energy dependence of the speed of neutrinos
• Non-thermal signature of the Unruh effect in field mixing
• Dynamical generation of field mixing via flavor vacuum condensate
• Non-abelian gauge structure in neutrino mixing
• Berry Phase Effects in the dynamics of Dirac Electrons in Doubly Special Relativity Framework
• Laboratory bounds on Lorentz symmetry violation in low energy neutrino physics
• Some non-trivial aspects of Poincaré and CPT invariance of flavor vacuum
• OPERA neutrinos and relativity
• Physical flavor neutrino states
• A framework for dynamical generation of flavor mixing
• Neutrinos and the Phenomenology of CPT Violation
• Revisiting Varying Speed of Light in Cosmology: Insights from the Friedmann-Lemaître-Robertson-Walker Metric
• Synthesis of Majorana mass terms in low-energy quantum systems