Updated fit to three neutrino mixing: status of leptonic CP violation

Abstract

We present a global analysis of solar, atmospheric, reactor and accelerator neutrino data in the framework of three-neutrino oscillations based on data available in summer 2014. We provide the allowed ranges of the six oscillation parameters and show that their determination is stable with respect to uncertainties related to reactor neutrino and solar neutrino flux predictions. We find that the maximal possible value of the Jarlskog invariant in the lepton sector is $0.0329\pm 0.0009$ ($\pm 0.0027$) at the $1\sigma$ ($3\sigma$) level and we use leptonic unitarity triangles to illustrate the ability of global oscillation data to obtain information on CP violation. We discuss "tendencies and tensions" of the global fit related to the octant of ${\theta }_{23}$ as well as the CP violating phase ${\delta }_{\mathrm{CP}}$. The favored values of ${\delta }_{\mathrm{CP}}$ are around $3\pi /2$ while values around $\pi /2$ are disfavored at about $\Delta {\chi }^2\simeq 6$. We comment on the non-trivial task to assign a confidence level to this $\Delta {\chi }^2$ value by performing a Monte Carlo study of T2K data.

arXiv comment28 pages, 10 figures, 1 table. Typos corrected. Updated results of the global fit will be available at http://www.nu-fit.org/

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• Neutrinos Meet Supersymmetry: Quantum Aspects of of Neutrinophysics in Supersymmetric Theories
• The spectroscopy of solar sterile neutrinos
• Phenomenological implications of a minimal F-theory GUT with discrete symmetry
• Examination of pairs in neutrino mixing matrix
• Leptogenesis parametrized by lepton mass matrices
• Effects of Annihilation with Low-Energy Neutrinos on High-Energy Neutrinos from Binary Neutron Star Mergers and Rare Core-Collapse Supernovae
• Dark Matter and Lepton Flavour Violation in a Hybrid Neutrino Mass Model
• Newly born extragalactic millisecond pulsars as efficient emitters of PeV neutrinos
• Sensitivity of octant of ${\theta }_{23}$, CP violation and mass hierarchy in NO$\nu$A with multinucleon and detector effects
• Theoretical Results on Neutrinos
• Effect of large light-heavy neutrino mixing and natural type-II seesaw dominance to lepton flavor violation and neutrinoless double beta decay
• Parameterization of Pontecorvo-Maki-Nakagawa-Sakata mixing matrix based on CP-violating bipair neutrino mixing
• Degenerate spectrum in the neutrino mass anarchy with Wishart matrices and implications for $0\nu \beta \beta$ and ${\delta }_{\mathrm{CP}}$
• Probing Non-Standard Interactions at Daya Bay
• Linking Leptonic CP violation to Quark Unitarity Triangle
• Running of Oscillation Parameters in Matter with Flavor-Diagonal Non-Standard Interactions of the Neutrino
• A realistic pattern of fermion masses from a five-dimensional SO(10) model
• Renormalization group invariant of lepton Yukawa couplings
• Statistical Constraints on the Error of the Leptonic CP Violation of Neutrinos
• Oscillations Beyond Three-Neutrino Mixing
• On Bimaximal Neutrino Mixing and GUT's
• Decoherence effect in neutrinos produced in micro-quasar jets
• From DeepCore to PINGU: Measuring atmospheric neutrino oscillations at the South Pole
• NuFIT: Three-Flavour Global Analyses of Neutrino Oscillation Experiments
• Diffuse flux of PeV neutrinos from centrifugally accelerated protons in active galactic nuclei
• Radiative accidental matter
• Neutrino Mass and Neutrinoless double beta decay in SO(10) GUT with Pati-Salam symmetry
• New Physics in Astrophysical Neutrino Flavor (NuFact 2016)
• Neutrino energy reconstruction in long-baseline experiments
• Lepton mixing patterns from combinations of elementary correlations
• Comments on the determination of the neutrino mass ordering in reactor neutrino experiments
• Relating Lepton Mixing Angles with Lepton Mass Hierarchy
• The leptonic CP phase is determined by an equation involving the PMNS matrix elements
• Neutrino Mass Ordering in Future Neutrinoless Double Beta Decay Experiments
• Implication of rephasing invariant parameters on texture specific mass matrices
• The Physics of antineutrinos in DUNE and resolution of octant degeneracy
• Fermion masses as mixing parameters in the SM
• Decoherence-effects in the neutrino-mixing mechanism: active and sterile neutrinos in the three flavor scheme