Non-unitary Leptonic Flavor Mixing and CP Violation in Neutrino-antineutrino Oscillations

Abstract

If massive neutrinos are Majorana particles, then the lepton number should be violated in nature and neutrino-antineutrino oscillations ${\nu }_{\alpha }^{}\leftrightarrow {\overline{\nu }}_{\beta }^{}$ (for $\alpha ,\beta =e,\mu ,\tau$) will definitely take place. In the present paper, we study the properties of CP violation in neutrino-antineutrino oscillations with the non-unitary leptonic flavor mixing matrix, which is actually a natural prediction in the canonical seesaw model due to the mixing between light and heavy Majorana neutrinos. The oscillation probabilities $P({\nu }_{\alpha }^{}\to {\overline{\nu }}_{\beta }^{})$ and $P({\overline{\nu }}_{\alpha }^{}\to {\nu }_{\beta }^{})$ are derived, and the CP asymmetries ${\mathcal{A}}_{\alpha \beta }^{}\equiv [P({\nu }_{\alpha }^{}\to {\overline{\nu }}_{\beta }^{})-P({\overline{\nu }}_{\alpha }^{}\to {\nu }_{\beta }^{})]/[P({\nu }_{\alpha }^{}\to {\overline{\nu }}_{\beta }^{})+P({\overline{\nu }}_{\alpha }^{}\to {\nu }_{\beta }^{})]$ are also calculated. Taking into account current experimental bounds on the leptonic unitarity violation, we show that the CP asymmetries induced by the non-unitary mixing parameters can significantly deviate from those in the limit of a unitary leptonic flavor mixing.

arXiv comment26 pages, 1 figure, 2 tables, more discussions and references added, accepted by PLB

References in corpus (40)

• Resonant Leptogenesis
• Neutrinos and Collider Physics
• Right-Handed Neutrinos at LHC and the Mechanism of Neutrino Mass Generation
• Electroweak-Scale Resonant Leptogenesis
• Cosmological Sign of Neutrino CP Violation
• Radiatively Induced Neutrino Masses and Large Higgs-Neutrino Couplings in the Standard Model with Majorana Fields
• Flavor structures of charged fermions and massive neutrinos
• Large Mixing Angle MSW and Atmospheric Neutrinos from Single Right-Handed Neutrino Dominance and U(1) Family Symmetry
• Global constraints on heavy neutrino mixing
• Non-unitarity of the leptonic mixing matrix: Present bounds and future sensitivities
• CP-violation from non-unitary leptonic mixing
• Non-Unitarity, sterile neutrinos, and Non-Standard neutrino Interactions
• TeV Scale Inverse Seesaw in SO(10) and Leptonic Non-Unitarity Effects
• Sterile neutrino searches at future $e^{-}{e}^{+}$, $pp$, and $e^{-}p$ colliders
• Resonant τ-Leptogenesis with Observable Lepton Number Violation
• On the description of non-unitary neutrino mixing
• Manifest CP Violation from Majorana Phases
• Neutrino Masses, Lepton Flavor Mixing and Leptogenesis in the Minimal Seesaw Model
• Correlation between the Charged Current Interactions of Light and Heavy Majorana Neutrinos
• Lepton Flavour Violation and theta(13) in Minimal Resonant Leptogenesis
• Probing non-unitary mixing and CP-violation at a Neutrino Factory
• A full parametrization of the 6 X 6 flavor mixing matrix in the presence of three light or heavy sterile neutrinos
• Resonant CP Violation due to Heavy Neutrinos at the LHC
• Probing CP violation with non-unitary mixing in long-baseline neutrino oscillation experiments: DUNE as a case study
• A See-Saw Model for Atmospheric and Solar Neutrino Oscillations
• Implications of Leptonic Unitarity Violation at Neutrino Telescopes
• CP violation in neutrino oscillations and new physics
• The minimal seesaw and leptogenesis models
• Non-unitary neutrino mixing in short and long-baseline experiments
• Properties of CP Violation in Neutrino-Antineutrino Oscillations
• Majorana CP-violating phases in neutrino-antineutrino oscillations and other lepton-number-violating processes
• Neutrino Anti-neutrino Transitions
• Heavy Majorana Neutrino Production at e- gamma Colliders
• Non-unitary deviation from the tri-bimaximal lepton mixing and its implications on neutrino oscillations
• Low-energy limits on heavy Majorana neutrino masses from the neutrinoless double-beta decay and non-unitary neutrino mixing
• Nonunitary neutrino mixing matrix and CP violating neutrino oscillations
• Heavy Neutrino-Antineutrino Oscillations in Quantum Field Theory
• Unitarity violation in sequential neutrino mixing in a model of extra dimensions
• Flavor Neutrinos States
• Unification of Neutrino-Neutrino and Neutrino-Antineutrino Oscillations

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