Discriminating sterile neutrinos and unitarity violation with CP invariants

Abstract

We present a new method to analyze upcoming results in the search for CP violating neutrino oscillations. The CP violating amplitudes ${\mathcal{A}}_{\alpha \beta }^{kj}$ provide parametrization independent observables, which will be accessible by experiments soon. The strong prediction of a unique ${\mathcal{A}}_{\alpha \beta }^{kj}$ (the Jarlskog invariant) in case of the standard three neutrino model does not hold in models with new physics beyond the Standard Model. Nevertheless there are still correlations among the amplitudes depending on the specific model. Due to these correlations it is possible to reject specific new physics models by determining only 3 of the CP violating amplitudes.

arXiv comment13 pages, 2 figures

References in corpus (47)

• Evidence for oscillation of atmospheric neutrinos
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• Evidence for Neutrino Oscillations from the Observation of Electron Anti-neutrinos in a Muon Anti-Neutrino Beam
• The Reactor Antineutrino Anomaly
• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Sterile Neutrino Oscillations: The Global Picture
• Light Sterile Neutrinos: A White Paper
• Event Excess in the MiniBooNE Search for ${\bar{\nu }}_{\mu }\to {\bar{\nu }}_e$ Oscillations
• Statistical Significance of the Gallium Anomaly
• Unitarity of the Leptonic Mixing Matrix
• Analytic Approximations for Three Neutrino Oscillation Parameters and Probabilities in Matter
• Series expansions for three-flavor neutrino oscillation probabilities in matter
• Measurements of neutrino oscillation in appearance and disappearance channels by the T2K experiment with 6.6E20 protons on target
• CP-violation from non-unitary leptonic mixing
• Non-Unitarity, sterile neutrinos, and Non-Standard neutrino Interactions
• Searches for Sterile Neutrinos with the IceCube Detector
• On the description of non-unitary neutrino mixing
• New CP Violation in Neutrino Oscillations
• Unitarity and the three flavour neutrino mixing matrix
• Quantum Field Theory of three flavor neutrino mixing and oscillations with CP violation
• Leptonic Unitarity Triangle and CP-violation
• Simplified Unitarity Triangles for the Lepton Sector
• Symmetrical Parametrizations of the Lepton Mixing Matrix
• Exact Formula of Probability and CP Violation for Neutrino Oscillations in Matter
• Testing non-unitarity of neutrino mixing matrices at neutrino factories
• Compact Perturbative Expressions For Neutrino Oscillations in Matter
• A Parametrization for the Neutrino Mixing Matrix
• New ambiguity in probing CP violation in neutrino oscillations
• Measuring the Leptonic CP Phase in Neutrino Oscillations with Non-Unitary Mixing
• Simple and Compact Expressions for Neutrino Oscillation Probabilities in Matter
• Implications of the Daya Bay observation of θ_{13} on the leptonic flavor mixing structure and CP violation
• Reconstruction of the Neutrino Mixing Matrix and Leptonic Unitarity Triangles from Long-baseline Neutrino Oscillations
• A New Parametrization of the Neutrino Mixing Matrix
• Probing CP violation with T2K, NO$\nu$A and DUNE in the presence of non-unitarity
• Connecting Leptonic Unitarity Triangle to Neutrino Oscillation
• False Signals of CP-Invariance Violation at DUNE
• Rephasing Invariants of CP and T Violation in the Four-Neutrino Mixing Models
• Boxing with Neutrino Oscillations
• The Kobayashi-Maskawa Parametrization of Lepton Flavor Mixing and Its Application to Neutrino Oscillations in Matter
• Connecting Leptonic Unitarity Triangle to Neutrino Oscillation with CP Violation in Vacuum and in Matter
• Constant matter neutrino oscillations in a parametrization-free formulation
• A new parametrization of the neutrino mixing matrix for neutrino oscillations
• Dependence of Neutrino Mixing Angles and CP-violating Phase on Mixing Matrix Parametrizations
• Analytical Theory of Neutrino Oscillations in Matter with CP violation
• Invariant Box-Parameterization of Neutrino Oscillations
• Some Formulas for Invariant Phases of Unitary Matrices by Jarlskog
• Matter neutrino oscillations, an approximation in a parametrization-free framework

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• White Paper on New Opportunities at the Next-Generation Neutrino Experiments (Part 1: BSM Neutrino Physics and Dark Matter)
• Probing CP violation with non-unitary mixing in long-baseline neutrino oscillation experiments: DUNE as a case study
• Non-unitary neutrino mixing in short and long-baseline experiments
• Model-Independent Constraints on Non-Unitary Neutrino Mixing from High-Precision Long-Baseline Experiments
• Standard versus Non-Standard CP Phases in Neutrino Oscillation in Matter with Non-Unitarity
• From ray to spray: augmenting amplitudes and taming fast oscillations in fully numerical neutrino codes
• Beyond Standard Neutrino Theory