Lepton flavor mixing in the Wolfenstein scheme

Abstract

We mimic the Wolfenstein scheme of quark flavor mixing to describe neutrino oscillations in the standard model. We identify the parameter $\lambda$ with the experimentally measured value of the mixing element responsible for atmospheric neutrino oscillations. The matrix elements responsible for solar neutrino oscillations and the Chooz angle are taken to be proportional to ${\lambda }^2$ and ${\lambda }^3$, respectively. Using present world average data on neutrinos, we derive bounds on the other parameters $A$, $\rho$, and $\eta$, of the new scheme.

References in corpus (18)

• Cosmological parameters from SDSS and WMAP
• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Observation of electron-antineutrino disappearance at Daya Bay
• Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Indication for the disappearance of reactor electron antineutrinos in the Double Chooz experiment
• Measurement of Neutrino Oscillation with KamLAND: Evidence of Spectral Distortion
• Search for neutrino oscillations on a long base-line at the CHOOZ nuclear power station
• A Measurement of Atmospheric Neutrino Oscillation Parameters by Super-Kamiokande I
• Determination of Solar Neutrino Oscillation Parameters using 1496 Days of Super-Kamiokande-I Data
• Improved search for muon-neutrino to electron-neutrino oscillations in MINOS
• Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP violation searches
• Electron Energy Spectra, Fluxes, and Day-Night Asymmetries of ${}^8$B Solar Neutrinos from the 391-Day Salt Phase SNO Data Set
• Observation of muon neutrino disappearance with the MINOS detectors and the NuMI neutrino beam
• Evidence for muon neutrino oscillation in an accelerator-based experiment
• 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
• Final results from the Palo Verde Neutrino Oscillation Experiment
• Observation of Atmospheric Neutrino Oscillations in Soudan 2

Cited by in corpus (1)

• Detection of ultra high energy neutrinos by IceCube: Sterile neutrino scenario