Parameterizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing

2007/10/15 by Stephen F. King, S. F. King · 5 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1016/j.physletb.2007.10.078

published as Phys.Lett.B659:244-251,2008 · More references added. 14 pages, 2 figures

arxiv created 2007/10/15 · openalex publication_date 2007/12/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/02

Abstract

We propose a parametrization of the lepton mixing matrix in terms of an expansion in powers of the deviations of the reactor, solar and atmospheric mixing angles from their tri-bimaximal values. We show that unitarity triangles and neutrino oscillation formulae have a very compact form when expressed in this parametrization, resulting in considerable simplifications when dealing with neutrino phenomenology. The parametrization, which is completely general, should help to establish possible relations between the deviations of the reactor, solar and atmospheric mixing angles from their tri-bimaximal values, and hence enable models which predict such relations to be more directly compared to experiment.

Citations

• NOvA Proposal to Build a 30 Kiloton Off-Axis Detector to Study Neutrino Oscillations in the Fermilab NuMI Beamline
• Solving the Mystery of the Missing Neutrinos
• Nearly tri-bimaximal neutrino mixing and CP violation
• Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of MaximalCPNonconservation

Cited by

• Perturbative estimates of lepton mixing angles in unified models
• Triminimal parametrization of quark mixing matrix
• NEW PARAMETRIZATION OF NEUTRINO MIXING MATRIX
• Right unitarity triangles and tri-bimaximal mixing from discrete symmetries and unification
• Neutrino mass and mixing: from theory to experiment