Reconciling Super-Kamiokande, LSND, and Homestake neutrino-oscillation data

Abstract

The L/E-flatness of the e-like events observed in the recent atmospheric-neutrino data from Super-Kamiokande (SuperK) is interpreted to reflect a new symmetry of the neutrino-oscillation mixing matrix. From that we obtain an analytical set of constraints yielding a class of mixing matrices of the property to simultaneously fit both the SuperK and the LSND data. The resulting mass squared difference relevant for the LSND experiment is found as 0.3 eV^2. The discussed symmetry, e.g., carries the nature that expectation values of masses for ν_μand ν_τare identical. These considerations are purely data dictated. A different framework is then applied to the solar neutrino problem. It is argued that a single sterile neutrino is an unlikely candidate to accommodate the data from the four solar neutrino experiments. A scenario is discussed which violates CPT symmetry, and favors the ν_e - \barν_e system to belong to the `self'-`anti-self' charge conjugate construct in the (1/2,0)+(0,1/2) representation space, where the needed helicity flipping amplitudes are preferred, rather than the usual Dirac, or Majorana, constructs. In the presented framework the emerging SuperK data on solar neutrino flux is reconciled with the Homestake, GALLEX, and SAGE experiments. This happens because the former detects not only the solar ν_e but also, at a lower cross section, the oscillated solar \barν_e; while the latter are sensitive only to the oscillation-diminished solar ν_e flux. A direct observation of solar \barν_e by SNO will confirm our scenario. Finally, we consider the possibility for flavor-dependent gravitational couplings of neutrinos as emerging out of the noncommutativity of the quantum operators associated with the measurements of energy and flavor.

Mod. Phys. Lett. A (in press). 16 pages. Revised. In the revison the discussion on the solar neutrino anomaly has been refined. The argument that "the L/E-flatness of the e-like events, observed in the recent atmospheric-neutrino data from SuperK, yields a severe constraint on the neutrino mixing matrix" remains unaltered

References in corpus (3)

• Evidence for oscillation of atmospheric neutrinos
• Initial Results from the CHOOZ Long Baseline Reactor Neutrino Oscillation Experiment
• KARMEN Limits on nu_e -> nu_tau Oscillations in 2-neutrino and 3-neutrino Mixing Schemes

Cited by in corpus (68)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Quantum Spacetime Phenomenology
• Nearly Tri-Bimaximal Neutrino Mixing and CP Violation
• Theory of Neutrinos: A White Paper
• Mu-Tau Reflection Symmetry in Lepton Mixing and Neutrino Oscillations
• Spin half fermions with mass dimension one: theory, phenomenology, and dark matter
• LSND, SN1987A, and CPT Violation
• $S_{2L}$ permutation symmetry for left-handed $\mu$ and $\tau$ families and neutrino oscillations in an $SU(3{)}_L\times U(1{)}_N$ gauge model
• The exact formula for neutrino oscillations
• L/E-Flatness of the Electron-Like Event Ratio in Super-Kamiokande and a Degeneracy in Neutrino Masses
• Radiatively Induced Neutrino Masses and Oscillations in an SU(3)_LxU(1)_N Gauge Model
• Quark lepton complementarity and renormalization group effects
• Probing Quantum Aspects of Gravity
• QLC relation and neutrino mass hierarchy
• LSND anomaly from CPT violation in four-neutrino models
• Implications of observed neutrinoless double beta decay
• Large Solar Neutrino Mixing and Radiative Neutrino Mechanism
• Bilarge Neutrino Mixing and μ- τPermutation Symmetry for Two-loop Radiative Mechanism
• A prediction for U(e3) from patterns in the charged lepton spectra
• Radiatively broken symmetries of nonhierarchical neutrinos
• Almost Maximal Lepton Mixing with Large T Violation in Neutrino Oscillations and Neutrinoless Double Beta Decay
• Systematic Parameter Space Search of Extended Quark-Lepton Complementarity
• Tests of CPT Invariance at Neutrino Factories
• Large Mixing Angle MSW Solution in an SU(3)_LxU(1)_N Gauge Model with Two-loop Radiative Mechanism
• Two-loop Radiative Neutrino Mechanism in an $SU(3{)}_L\times U(1{)}_N$ Gauge Model
• Large Solar Neutrino Mixing in an Extended Zee Model
• A freely falling frame at the interface of gravitational and quantum realms
• The Interplay between Neutrinos and Charged Leptons in the Minimal SU(3)_LxU(1)_N Gauge Model
• Neutrino oscillation experiments and limits on lepton-number and lepton-flavor violating processes
• Gravity induced neutrino-antineutrino oscillation: CPT and lepton number non-conservation under gravity
• Comment on Neutrino Masses and Oscillations in an $SU(3{)}_L\times U(1{)}_N$ Model with Radiative Mechanism
• Introduction to Quantum-Gravity Phenomenology
• Complementary Ansatz for the neutrino mass matrix
• Corrections for tribimaximal, bimaximal and democratic neutrino mixing matrices
• Atmospheric, long baseline, and reactor neutrino data constraints on ${\theta }_{13}$
• A Two Parameter Texture of Nearly Bi-maximal Neutrino Mixing
• Dimension-five effective operators in electro-weak SU(4)xU(1) gauge models
• Remarks upon the mass oscillation formulas
• Tri-Maximal vs Bi-Maximal Neutrino Mixing
• Constraints on Flavor Neutrino Masses and sin^2(2theta_{12})>>sin^2(theta_{13}) in Neutrino Oscillations
• Unitarity boomerangs of quark and lepton mixing matrices
• Ambiguity in source flux of high-energy cosmic/astrophysical neutrinos: Effects of bi-maximal mixing and quantum-gravity induced decoherence
• Consistency of perturbed Tribimaximal, Bimaximal and Democratic mixing with Neutrino mixing data
• The neutrino puzzle in the light of SNO
• Physical region for three-neutrino mixing angles
• Neutrino Mass Squared Differences in the Exact Solution of a 3-3-1 Gauge Model without Exotic Electric Charges
• Implications of the Super-K atmospheric data for the mixing angles ${\theta }_{13}$ and ${\theta }_{23}$
• Neutrino mixing schemes and neutrinoless double beta decay
• Generalized Scaling Ansatz and Minimal Seesaw Mechanism
• Maximal ${\nu }_e$ oscillations, Borexino and smoking guns
• Neutrino Masses and Leptonic CP Violation
• CP violation in neutrino oscillations and L/E flatness of the e-like event ratio at Super-Kamiokande
• Model independent Analysis of Dirac CP Violating Phase for some well known mixing scenarios
• CP violating Tri-bimaximal-Cabibbo mixing
• Non-universal gravitational couplings of neutrinos in matter
• Carroll spinors
• Measuring the mass of a sterile neutrino with a very short baseline reactor experiment
• The Unruh effect and oscillating neutrinos
• CP violation in neutrino mixing matrix and leptogenesis
• A Phenomenological Study on Lepton Mass Matrix Textures
• A texture of neutrino mass matrix in view of recent neutrino experimental results
• Testing kappa-Poincare' with neutral kaons
• A Systematic Analysis of Perturbations for Hexagonal Mixing Matrix
• Avoiding the gauge heirarchy problem with see-sawed neutrino masses
• A hidden hierarchy of neutrino masses
• Local demands on sterile neutrinos
• MiniBooNE and a (CP)^2 = -1 sterile neutrino
• Neutrino Masses from Non-minimal Gravitational Interactions of Massive Neutral Fermions