Solar neutrinos and 1-3 leptonic mixing

Abstract

Effects of the 1-3 leptonic mixing on the solar neutrino observables are studied and the signatures of non-zero ${\theta }_{13}$ are identified. For this we have re-derived the formula for $3\nu$-survival probability including all relevant corrections and constructed the iso-contours of observables in the ${\sin }^2{\theta }_{12}-{\sin }^2{\theta }_{13}$ plane. Analysis of the solar neutrino data gives ${\sin }^2{\theta }_{13}=0.007_{-0.007}^{+0.080}$ (90% C.L.) for $\Delta m^2=8\cdot 10^{-5}$ eV${}^2$. The combination of the ratio CC/NC at SNO and gallium production rate selects ${\sin }^2{\theta }_{13}=0.017\pm 0.026$ ($1\sigma$). The global fit of all oscillation data leads to zero best value of ${\sin }^2{\theta }_{13}$. The sensitivity ($1\sigma$ error) of future solar neutrino studies to ${\sin }^2{\theta }_{13}$ can be improved down to 0.01 - 0.02 by precise measurements of the pp-neutrino flux and the CC/NC ratio as well as spectrum distortion at high ($E>4$ MeV) energies. Combination of experimental results sensitive to the low and high energy parts of the solar neutrino spectrum resolves the degeneracy of angles ${\theta }_{13}$ and ${\theta }_{12}$. Comparison of ${\sin }^2{\theta }_{13}$ as well as ${\sin }^2{\theta }_{12}$ measured in the solar neutrinos and in the reactor/accelerator experiments may reveal new effects which can not be seen otherwise.

arXiv comment36 pages, latex, 10 figures. Analysis and figures are updated with new (salt phase II) SNO results, several clarifications added, typos corrected

References in corpus (47)

• Limits on Neutrino Oscillations from the CHOOZ Experiment
• Measurement of Neutrino Oscillation with KamLAND: Evidence of Spectral Distortion
• Measurement of Day and Night Neutrino Energy Spectra at SNO and Constraints on Neutrino Mixing Parameters
• Search for neutrino oscillations on a long base-line at the CHOOZ nuclear power station
• Measurement of the Total Active 8B Solar Neutrino Flux at the Sudbury Neutrino Observatory with Enhanced Neutral Current Sensitivity
• Determination of Solar Neutrino Oscillation Parameters using 1496 Days of Super-Kamiokande-I Data
• Status of global fits to neutrino oscillations
• Measurement of the Solar Neutrino Capture Rate by the Russian-American Gallium Solar Neutrino Experiment During One Half of the 22-Year Cycle of Solar Activity
• Complete results for five years of GNO solar neutrino observations
• Non-adiabatic Level Crossing in Resonant Neutrino Oscillations
• Global analysis of three-flavor neutrino masses and mixings
• What do we (not) know theoretically about solar neutrino fluxes?
• Breaking Eight-fold Degeneracies in Neutrino CP Violation, Mixing, and Mass Hierarchy
• Results from the Palo Verde Neutrino Oscillation Experiment
• Global three-neutrino oscillation analysis of neutrino data
• Status of three-neutrino oscillations after the SNO-salt data
• Probing the neutrino mass hierarchy and the 13-mixing with supernovae
• Reactor Measurement of ${\theta }_{13}$ and Its Complementarity to Long-Baseline Experiments
• Solar Neutrinos Before and After Neutrino 2004
• Implications of neutrino data circa 2005
• Reactor Neutrino Experiments Compared to Superbeams
• Update of the solar neutrino oscillation analysis with the 766 Ty KamLAND spectrum
• Three-Neutrino Mixing after the First Results from K2K and KamLAND
• A road map to solar neutrino fluxes, neutrino oscillation parameters, and tests for new physics
• Homestake result, sterile neutrinos and low energy solar neutrino experiments
• Constraints on neutrino oscillation parameters from the SNO salt phase data
• Toward precision measurements in solar neutrinos
• Solar neutrinos: global analysis with day and night spectra from SNO
• LMA MSW solution of the solar neutrino problem and first KamLAND results
• Solar neutrinos: the SNO salt phase results and physics of conversion
• Exploring the sensitivity of current and future experiments to ${\theta }_{\odot }$
• Neutrino oscillations in low density medium
• A simple analytic three-flavour description of the day-night effect in the solar neutrino flux
• High Precision Measurements of ${\theta }_{\odot }$ in Solar and Reactor Neutrino Experiments
• Three-flavor solar neutrino oscillations with terrestrial neutrino constraints
• Reactor Measurement of theta_12; Principles, Accuracies and Physics Potentials
• The Solar Neutrino Problem after the first results from Kamland
• On the Effect of theta_{13} on the Determination of Solar Oscillation Parameters at KamLAND
• Global Analysis of Neutrino Oscillation
• Day-night effect in solar neutrino oscillations with three flavors
• Global Analysis of Solar Neutrino and KamLAND Data
• Quasi-energy-independent solar neutrino transitions
• Addendum to: Solar neutrino oscillation parameters after first KamLAND results
• Zenith angle distributions at Super-Kamiokande and SNO and the solution of the solar neutrino problem
• Three Generation Neutrino Oscillation Parameters after SNO
• Testing the solar LMA region with KamLAND data
• How precisely can we reduce the three-flavor neutrino oscillation to the two-flavor one only from (δm^2_{12})/(δm^2_{13}) <~ 1/15 ?

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• New neutrino physics and the altered shapes of solar neutrino spectra
• Solar Neutrino Matter Effects Redux
• Determination of the Third Neutrino-Mixing Angle θ_(13) and its Implications
• Neutrino mass hierarchy and matter effects
• A $\nu$ look at the Sun: Probing the conditions of the solar core using ${}^8$B neutrinos
• EUROnu-WP6 2010 Report