Simplified unitarity triangles for the lepton sector

James D. Bjorken, P. F. Harrison, and W. G. Scott
Phys. Rev. D 74, 073012 – Published 24 October 2006

Abstract

Encouraged by the latest SNO results, we consider the lepton mixing matrix in the approximation that the ν2 mass eigenstate is trimaximally (democratically) mixed. This suggests a new parameterization of the remaining mixing degrees of freedom, which eschews mixing angles, dealing instead, directly with the complex parameter Ue3 of the mixing matrix. Unitarity triangles then take a particularly simple form, which we hope will facilitate comparison with experiment.

  • Figure
  • Received 21 November 2005

DOI:https://doi.org/10.1103/PhysRevD.74.073012

©2006 American Physical Society

Authors & Affiliations

James D. Bjorken1,*, P. F. Harrison2,†, and W. G. Scott3,‡

  • 1Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309, USA
  • 2Department of Physics, University of Warwick, Coventry CV4 7AL, UK
  • 3CCLRC Rutherford Appleton Laboratory, Chilton, Didcot, Oxon OX11 0QX, UK

  • *Electronic address: bjorken@slac.stanford.edu
  • Electronic address: p.f.harrison@warwick.ac.uk
  • Electronic address: w.g.scott@rl.ac.uk

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Issue

Vol. 74, Iss. 7 — 1 October 2006

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