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Real invariant matrices and flavour-symmetric mixing variables with emphasis on neutrino oscillations
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Harrison, R. F., Scott, W. G. and Weiler, T. J. (2006) Real invariant matrices and flavour-symmetric mixing variables with emphasis on neutrino oscillations. PHYSICS LETTERS B, 641 (5). pp. 372-380. doi:10.1016/j.physletb.2006.09.005 ISSN 0370-2693.
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Official URL: http://dx.doi.org/10.1016/j.physletb.2006.09.005
Abstract
In fermion mixing phenomenology, the matrix of moduli squared, p = (vertical bar U vertical bar(2)), is well known to carry essentially the same information as the complex mixing matrix U itself, but with the advantage of being phase-convention independent. The matrix K, formed from the real parts of the mixing-matrix "plaquette" products, is similarly invariant. In this Letter, the P and K matrices are shown to be entirely equivalent, both being directly related (in the leptonic case) to the observable, locally L/E-averaged transition probabilities in neutrino oscillations. We study an (over-)complete set of flavour-symmetric Jarlskog-invariant functions of mass-matrix commutators, rewriting them simply as moment-transforms of such (real) invariant matrices. (c) 2006 Elsevier B.V. All rights reserved.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | PHYSICS LETTERS B | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0370-2693 | ||||
Official Date: | 19 October 2006 | ||||
Dates: |
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Volume: | 641 | ||||
Number: | 5 | ||||
Number of Pages: | 9 | ||||
Page Range: | pp. 372-380 | ||||
DOI: | 10.1016/j.physletb.2006.09.005 | ||||
Publication Status: | Published |
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