Sum rules of four-neutrino mixing in matter

Abstract

Assuming the existence of one light sterile neutrino, we investigate the neutrino flavor mixing matrix in matter. Sum rules between the mixing parameters in vacuum and their counterparts in matter are derived. By using these new sum rules, we obtain the simple but exact expressions of the effective flavor mixing matrix in matter in terms of neutrino masses and the mixing parameters in vacuum. The rephasing invariants, sides of unitarity quadrangles and oscillation probabilities in matter are also achieved. Our model-independent results will be very helpful for analyzing flavor mixing and CP violation in the future long-baseline neutrino oscillation experiments.

arXiv comment7 pages

References in corpus (28)

• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory
• Sterile Neutrinos as Dark Matter
• Indications of Neutrino Oscillation in a 250 km Long-baseline Experiment
• Evidence for ${\bar{\nu }}_{\mu }\to {\bar{\nu }}_e$ Oscillations from the LSND Experiment at LAMPF
• Neutrinos in cosmology
• Phenomenology of Neutrino Oscillations
• Analytic Approximations for Three Neutrino Oscillation Parameters and Probabilities in Matter
• Reconciling Dark Matter, Solar and Atmospheric Neutrinos
• Neutrino-induced upward stopping muons in Super-Kamiokande
• Flavor Mixing and CP Violation of Massive Neutrinos
• Exact Formulas and Simple CP dependence of Neutrino Oscillation Probabilities in Matter with Constant Density
• Leptonic Unitarity Triangle and CP-violation
• Active-Sterile Neutrino Conversion: Consequences for the r-Process and Supernova Neutrino Detection
• Exact Formula of Probability and CP Violation for Neutrino Oscillations in Matter
• New Formulation of Matter Effects on Neutrino Mixing and CP Violation
• Matter Effects on Neutrino Oscillations in Long Baseline Experiments
• Neutrino Mass and Oscillation
• Leptonic Unitarity Triangles in Matter
• Reconstruction of the Neutrino Mixing Matrix and Leptonic Unitarity Triangles from Long-baseline Neutrino Oscillations
• Commutators of Lepton Mass Matrices, CP Violation, and Matter Effects in Medium-Baseline Neutrino Experiments
• Neutrino Matter Effect Invariants and the Observables of Neutrino Oscillations
• Rephasing Invariants of CP and T Violation in the Four-Neutrino Mixing Models
• Neutrinos from Stellar Collapse: Comparison of signatures in water and heavy water detectors
• More Straightforward Extraction of the Fundamental Lepton Mixing Parameters from Long-Baseline Neutrino Oscillations
• Supernova Neutrinos and the LSND Evidence for Neutrino Oscillations
• Neutrinos from Stellar Collapse: Comparison of the effects of three and four flavour mixings
• Unitarity Quadrangles of Four Neutrino Mixing

Cited by in corpus (10)

• Exact and Approximate Formulas for Neutrino Mixing and Oscillations with Non-Standard Interactions
• The discovery channel at the Neutrino Factory: ${\nu }_{\mu }\to {\nu }_{\tau }$ pointing to sterile neutrinos
• Matter Effect of Light Sterile Neutrino: An Exact Analytical Approach
• Why Is The Neutrino Oscillation Formula Expanded In $\Delta m_{21}^2/\Delta m_{31}^2$ Still Accurate Near The Solar Resonance In Matter?
• Prospects of light sterile neutrino searches in long-baseline neutrino oscillations
• Sum rules and asymptotic behaviors of neutrino mixing in dense matter
• On nonadiabatic contributions to the neutrino oscillation probability and the formalism by Kimura, Takamura and Yokomakura
• Baseline and other effects for a sterile neutrino at DUNE
• Radiative corrections to the lepton flavor mixing in dense matter
• Analytic Neutrino Oscillation Probabilities