Wolfenstein-like parametrization of the neutrino mixing matrix

2002/11/30 by Zhi-zhong Xing · 1 citation
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1088/0954-3899/29/9/316

published as J.Phys.G29:2227-2234,2003 · RevTex 9 pages. Some changes made and more discussions added

arxiv created 2002/12/25 · openalex publication_date 2003/08/04 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We show that the 3 × 3 lepton flavour mixing matrix V can be expanded in powers of a Wolfenstein-like parameter Λ ≡ | V μ3 | ∼ 1/√2, which measures the strength of flavour conversion in atmospheric neutrino oscillations. The term of (Λ 2 ) is associated with the large mixing angle in solar neutrino oscillations. The Dirac phase of CP violation enters at or below (Λ 8 ), and the Majorana phases of CP violation are not subject to the Λ-expansion. Terrestrial matter effects on this new parametrization in realistic long-baseline neutrino oscillation experiments are briefly discussed. Some comments are also given on the possible relation between Λ and a relatively weak hierarchy of neutrino masses.

Citations

• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• Where does flavour mixing come from?
• Measurement of Day and Night Neutrino Energy Spectra at SNO and Constraints on Neutrino Mixing Parameters
• A symmetry pattern of maximal CP violation and a determination of the unitarity triangle
• Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of MaximalCPNonconservation

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• Nontrivial correlation between the CKM and MNS matrices