The Impact of Different Parameterizations on the Interpretation of CP Violation in Neutrino Oscillations

Abstract

CP violation in the lepton mass matrix will be probed with good precision in upcoming experiments. The amount of CP violation present in oscillations can be quantified in numerous ways and is typically parameterized by the complex phase ${\delta }_{\mathrm{PDG}}$ in the standard PDG definition of the lepton mixing matrix. There are additional parameterizations of the lepton mixing matrix as well. Through various examples, we explore how, given the current data, different parameterizations can lead to different conclusions when working with parameterization dependent variables, such as $\delta$. We demonstrate how the smallness of $|U_{e3}|$ governs the scale of these results. We then demonstrate how $\delta$ can be misleading and argue that the Jarlskog is the cleanest means of presenting the amount of CP violation in the lepton sector. We also confirm that, among the different parameterizations considered, the standard PDG parameterization has a number of convenient features.

arXiv comment26 pages, 6 figures, 5 tables, 3 appendices, discussion expanded, matches published version, comments welcome

References in corpus (55)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• The Reactor Antineutrino Anomaly
• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Neutrino Mass and Mixing with Discrete Symmetry
• Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering
• Nearly Tri-Bimaximal Neutrino Mixing and CP Violation
• Statistical Significance of the Gallium Anomaly
• Bi-Maximal Mixing of Three Neutrinos
• Unitarity of the Leptonic Mixing Matrix
• Some Simple Mixing and Mass Matrices for Neutrinos
• Flavor structures of charged fermions and massive neutrinos
• Non-Unitarity, sterile neutrinos, and Non-Standard neutrino Interactions
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• Non-standard Neutrino Interactions at DUNE
• Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation
• The CKM unitarity problem: A trace of new physics at the TeV scale?
• New CP Violation in Neutrino Oscillations
• Non-Standard Interactions in propagation at the Deep Underground Neutrino Experiment
• Determining the Quark Mixing Matrix From CP-Violating Asymmetries
• Symmetrical Parametrizations of the Lepton Mixing Matrix
• Degeneracies in long-baseline neutrino experiments from nonstandard interactions
• CP-Violating Neutrino Non-Standard Interactions in Long-Baseline-Accelerator Data
• Spectral Measurement of the Electron Antineutrino Oscillation Amplitude and Frequency using 500 Live Days of RENO Data
• White Paper on New Opportunities at the Next-Generation Neutrino Experiments (Part 1: BSM Neutrino Physics and Dark Matter)
• Compact Perturbative Expressions For Neutrino Oscillations in Matter
• Probing CP violation signal at DUNE in presence of non-standard neutrino interactions
• The impact of sterile neutrinos on CP measurements at long baselines
• Nonstandard neutrino interactions at DUNE, T2HK and T2HKK
• How to Describe Neutrino Mixing and CP Violation
• Non-standard interactions spoiling the CP violation sensitivity at DUNE and other long baseline experiments
• New ambiguity in probing CP violation in neutrino oscillations
• The gallium anomaly revisited
• Hints for leptonic CP violation or New Physics?
• Non-standard interactions and the CP phase measurements in neutrino oscillations at low energies
• Assessing the Viability of $A_4$, $S_4$ and $A_5$ Flavour Symmetries for Description of Neutrino Mixing
• Physics Reach of DUNE with a Light Sterile Neutrino
• Sensitivity of the T2HKK experiment to the non-standard interaction
• Imprints of a light Sterile Neutrino at DUNE, T2HK and T2HKK
• Capabilities of long-baseline experiments in the presence of a sterile neutrino
• Non-Standard Interactions at a Neutrino Factory: Correlations and CP violation
• Challenges posed by non-standard neutrino interactions in the determination of ${\delta }_{CP}$ at DUNE
• 3-flavor and 4-flavor implications of the latest T2K and NO$\nu$A electron (anti-)neutrino appearance results
• Reevaluating Reactor Antineutrino Anomalies with Updated Flux Predictions
• The Discovery reach of $CP$ violation in neutrino oscillation with non-standard interaction effects
• Simple and Precise Factorization of the Jarlskog Invariant for Neutrino Oscillations in Matter
• The Effect of a Light Sterile Neutrino at NO$\nu$A and DUNE
• Type-I Seesaw with eV-Scale Neutrinos
• Leptonic Sum Rules from Flavour Models with Modular Symmetries
• Neutrino mixing in SO(10) GUTs with non-abelian flavor symmetry in the hidden sector
• Quasidegeneracy of Majorana Neutrinos and the Origin of Large Leptonic Mixing
• Flavor Mixing Democracy and Minimal CP Violation
• Biprobability approach to CP phase degeneracy from non-standard neutrino interactions
• Exponential parameterization of neutrino mixing matrix with account for CP-violation data
• Leptonic CP Violation from a New Perspective
• Parametric enhancement of flavor oscillation in a three-neutrino framework

Cited by in corpus (11)

• Parameter symmetries of neutrino oscillations in vacuum, matter, and approximation schemes
• Expanding neutrino oscillation parameter measurements in NOvA using a Bayesian approach
• Tau Neutrino Identification in Atmospheric Neutrino Oscillations Without Particle Identification or Unitarity
• Symmetry Finder applied to the 1-3 mass eigenstate exchange symmetry
• CP-Violation with Neutrino Disappearance Alone
• The Smallness of Matter Effects in Long-Baseline Muon Neutrino Disappearance
• The framework for a common origin of ${\delta }_{\mathrm{CKM}}$ and ${\delta }_{\mathrm{PMNS}}$
• Symmetry Finder: A method for hunting symmetry in neutrino oscillation
• Leptonic CP violation from the seesaw
• Signals of eV-scale sterile neutrino at long baseline neutrino experiments
• Neutrino Oscillations in the Three Flavor Paradigm