Large Non-perturbative Effects of Small Δm^2_{21}/Δm^2_{31} and \sin θ_{13} on Neutrino Oscillation and CP Violation in Matter

Abstract

In the framework of three generations, we consider the CP violation in neutrino oscillation with matter effects. At first, we show that the non-perturbative effects of two small parameters, Δm_{21}^2/Δm_{31}^2 and \sin θ_{13}, become more than 50% in certain ranges of energy and baseline length. This means that the non-perturbative effects should be considered in detailed analysis in the long baseline experiments. Next, we propose a method to include these effects in approximate formulas for oscillation probabilities. Assuming the two natural conditions, θ_{23}=45^\circ and the fact that the matter density is symmetric, a set of approximate formulas, which involve the non-perturbative effects, has been derived in all channels.

25 pages, 4 figures, version to appear in JHEP

References in corpus (9)

• Measurement of Neutrino Oscillation with KamLAND: Evidence of Spectral Distortion
• Evidence for muon neutrino oscillation in an accelerator-based experiment
• NOvA Proposal to Build a 30 Kiloton Off-Axis Detector to Study Neutrino Oscillations in the Fermilab NuMI Beamline
• Update of the solar neutrino oscillation analysis with the 766 Ty KamLAND spectrum
• Earth Matter Effects at Very Long Baselines and the Neutrino Mass Hierarchy
• From parameter space constraints to the precision determination of the leptonic Dirac CP phase
• Large Matter Effects in ${\nu }_{\mu }\to {\nu }_{\tau }$ Oscillations
• Enhancement of CP Violating terms for Neutrino Oscillation in Earth Matter
• Detecting matter effects in long baseline experiments

Cited by in corpus (9)

• Neutrino Propagation in Matter
• Mass Hierarchy Determination via future Atmospheric Neutrino Detectors
• Neutrino mass hierarchy and ${\theta }_{13}$ with a magic baseline beta-beam experiment
• Why Is The Neutrino Oscillation Formula Expanded In $\Delta m_{21}^2/\Delta m_{31}^2$ Still Accurate Near The Solar Resonance In Matter?
• Implications of the Super-K atmospheric data for the mixing angles ${\theta }_{13}$ and ${\theta }_{23}$
• New Index of CP Phase Effect and ${\theta }_{13}$ Screening in Long Baseline Neutrino Experiments
• Measuring the Leptonic CP Phase in ${\nu }_{\mu }\to {\nu }_{\mu }$ Oscillations
• Effect of Leptonic CP Phase in nu_mu --> nu_mu Oscillations
• From ray to spray: augmenting amplitudes and taming fast oscillations in fully numerical neutrino codes