Standard versus Non-Standard CP Phases in Neutrino Oscillation in Matter with Non-Unitarity

Abstract

We formulate a perturbative framework for the flavor transformation of the standard three active neutrinos but with non-unitary flavor mixing matrix, a system which may be relevant for leptonic unitarity test. We use the $\alpha$ parametrization of the non-unitary matrix and take its elements ${\alpha }_{\beta \gamma }$ ($\beta ,\gamma =e,\mu ,\tau$) and the ratio $\epsilon \simeq \Delta m_{21}^2/\Delta m_{31}^2$ as the small expansion parameters. Qualitatively new two features that hold in all the oscillation channels are uncovered in the probability formula obtained to first order in the expansion: (1) The phases of the complex $\alpha$ elements always come in into the observable in the particular combination with the $\nu$SM CP phase $\delta$ in the form $[e^{-i\delta }{\bar{\alpha }}_{\mu e},e^{-i\delta }{\bar{\alpha }}_{\tau e},{\bar{\alpha }}_{\tau \mu }]$ under the PDG convention of unitary $\nu$SM mixing matrix. (2) The diagonal $\alpha$ parameters appear in particular combinations $\left(a/b-1\right){\alpha }_{ee}+{\alpha }_{\mu \mu }$ and ${\alpha }_{\mu \mu }-{\alpha }_{\tau \tau }$, where $a$ and $b$ denote, respectively, the matter potential due to CC and NC reactions. This property holds only in the unitary evolution part of the probability, and there is no such feature in the genuine non-unitary part, while the $\delta$ - $\alpha$ parameter phase correlation exists for both. The reason for such remarkable stability of the phase correlation is discussed.

arXiv commenttext 28, total 43 pages, version to appear in PTEP

References in corpus (54)

• Neutrino Physics with JUNO
• Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering
• Golden measurements at a neutrino factory
• Constraint on the Matter-Antimatter Symmetry-Violating Phase in Neutrino Oscillations
• Status of non-standard neutrino interactions
• Unitarity of the Leptonic Mixing Matrix
• First measurement of neutrino oscillation parameters using neutrinos and antineutrinos by NOvA
• Exploring Neutrino Mixing with Low Energy Superbeams
• Global constraints on heavy neutrino mixing
• Series expansions for three-flavor neutrino oscillation probabilities in matter
• Non-unitarity of the leptonic mixing matrix: Present bounds and future sensitivities
• Measurement of electron antineutrino oscillation with 1958 days of operation at Daya Bay
• Non standard neutrino interactions
• Physics Potential of a Long Baseline Neutrino Oscillation Experiment Using J-PARC Neutrino Beam and Hyper-Kamiokande
• CP-violation from non-unitary leptonic mixing
• Atmospheric neutrino oscillation analysis with external constraints in Super-Kamiokande I-IV
• Non-Unitarity, sterile neutrinos, and Non-Standard neutrino Interactions
• Current unknowns in the three neutrino framework
• CP Violation and Matter Effect in Long Baseline Neutrino Oscillation Experiments
• Search for CP violation in Neutrino and Antineutrino Oscillations by the T2K experiment with $2.2\times 10^{21}$ protons on target
• Neutrino Mass Ordering from Oscillations and Beyond: 2018 Status and Future Prospects
• Physics Potential of the ICAL detector at the India-based Neutrino Observatory (INO)
• On the description of non-unitary neutrino mixing
• A Very Intense Neutrino Super Beam Experiment for Leptonic CP Violation Discovery based on the European Spallation Source Linac: A Snowmass 2013 White Paper
• New CP Violation in Neutrino Oscillations
• Exact Formulas and Simple CP dependence of Neutrino Oscillation Probabilities in Matter with Constant Density
• Unitarity and the three flavour neutrino mixing matrix
• Confusing non-standard neutrino interactions with oscillations at a neutrino factory
• Correlation between the Charged Current Interactions of Light and Heavy Majorana Neutrinos
• 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
• Testing non-unitarity of neutrino mixing matrices at neutrino factories
• Compact Perturbative Expressions For Neutrino Oscillations in Matter
• Resolving Eight-Fold Neutrino Parameter Degeneracy by Two Identical Detectors with Different Baselines
• Probing CP violation with non-unitary mixing in long-baseline neutrino oscillation experiments: DUNE as a case study
• PINGU: A Vision for Neutrino and Particle Physics at the South Pole
• Perturbation Theory of Neutrino Oscillation with Nonstandard Neutrino Interactions
• New ambiguity in probing CP violation in neutrino oscillations
• Large-Theta(13) Perturbation Theory of Neutrino Oscillation for Long-Baseline Experiments
• Non-unitary Leptonic Mixing and Leptogenesis
• Measuring the Leptonic CP Phase in Neutrino Oscillations with Non-Unitary Mixing
• Simple and Compact Expressions for Neutrino Oscillation Probabilities in Matter
• Analytical Approximation of the Neutrino Oscillation Matter Effects at large ${\theta }_{13}$
• A framework for testing leptonic unitarity by neutrino oscillation experiments
• Non-unitary evolution of neutrinos in matter and the leptonic unitarity test
• Intrinsic limits on resolutions in muon- and electron-neutrino charged-current events in the KM3NeT/ORCA detector
• Neutrino Oscillation Probabilities in Matter with Direct and Indirect Unitarity Violation in the Lepton Mixing Matrix
• Can we probe intrinsic CP/T violation and non-unitarity at long baseline accelerator experiments?
• Probing CP violation with T2K, NO$\nu$A and DUNE in the presence of non-unitarity
• Indirect unitarity violation entangled with matter effects in reactor antineutrino oscillations
• Effect of Non Unitarity on Neutrino Mass Hierarchy determination at DUNE, NO$\nu$A and T2K
• Perturbing neutrino oscillations around the solar resonance
• Discriminating sterile neutrinos and unitarity violation with CP invariants
• Heavy neutrino mixing in the T2HK, the T2HKK and an extension of the T2HK with a detector at Oki Islands

Cited by in corpus (14)

• Non-unitary neutrino mixing in short and long-baseline experiments
• Non-Unitarity at DUNE and T2HK with Charged and Neutral Current Measurements
• Neutrino amplitude decomposition in matter
• Measuring tau neutrino appearance probability via unitarity
• Symmetry Finder applied to the 1-3 mass eigenstate exchange symmetry
• CP-Violation with Neutrino Disappearance Alone
• Toward diagnosing neutrino non-unitarity through CP phase correlations
• Improving CP Measurement with THEIA and Muon Decay at Rest
• Neutrino amplitude decomposition: Toward observing the atmospheric - solar wave interference
• From ray to spray: augmenting amplitudes and taming fast oscillations in fully numerical neutrino codes
• Symmetry Finder: A method for hunting symmetry in neutrino oscillation
• Analytic Neutrino Oscillation Probabilities
• Neutrino CP Measurement in the Presence of RG Running with Mismatched Momentum Transfers
• Effects of tau-neutrino detection on non-standard interactions at DUNE with a short discussion on the nature of neutrino mixing