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Covariant extremisation of flavour-symmetric Jarlskog invariants and the neutrino mixing matrix
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UNSPECIFIED (2005) Covariant extremisation of flavour-symmetric Jarlskog invariants and the neutrino mixing matrix. PHYSICS LETTERS B, 628 (1-2). pp. 93-105. doi:10.1016/j.physletb.2005.09.009 ISSN 0370-2693.
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Official URL: http://dx.doi.org/10.1016/j.physletb.2005.09.009
Abstract
We examine the possibility that the form of the lepton mixing matrix can be determined by extremising the Jarlskog flavour invariants associated, e.g. with the commutator (C) of the lepton mass matrices. Introducing a strictly covariant approach, keeping masses fixed and extremising the determinant (Tr C-3/3) leads to maximal CP violation, while extremising the sum of the 2 x 2 principal minors (- Tr C-2/2), leads to a non-trivial mixing with zero CP violation. Extremising, by way of example, a general linear combination of two CP-syrrimetric invariants together, we show that our procedures can lead to acceptable mixings and to non-trivial predictions, e.g.,vertical bar Ue(3)vertical bar similar or equal to root 2/3 root Delta m(12)(2)/Delta m(23)(2)(1 - m(mu)/m(tau))(2) similar or equal to 0.07. (c) 2005 Elsevier B.V. All rights reserved.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | ||||
| Journal or Publication Title: | PHYSICS LETTERS B | ||||
| Publisher: | ELSEVIER SCIENCE BV | ||||
| ISSN: | 0370-2693 | ||||
| Official Date: | 3 November 2005 | ||||
| Dates: |
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| Volume: | 628 | ||||
| Number: | 1-2 | ||||
| Number of Pages: | 13 | ||||
| Page Range: | pp. 93-105 | ||||
| DOI: | 10.1016/j.physletb.2005.09.009 | ||||
| Publication Status: | Published |
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