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

Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
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.
0370-2693
244-251
King, S.F.
f8c616b7-0336-4046-a943-700af83a1538
King, S.F.
f8c616b7-0336-4046-a943-700af83a1538

King, S.F. (2008) Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing. Physics Letters B, 659 (1-2), 244-251. (doi:10.1016/j.physletb.2007.10.078).

Record type: Article

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.

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More information

e-pub ahead of print date: 3 December 2007
Published date: 17 January 2008
Organisations: Physics & Astronomy

Identifiers

Local EPrints ID: 57373
URI: http://eprints.soton.ac.uk/id/eprint/57373
ISSN: 0370-2693
PURE UUID: 27038b96-b9bb-4090-9cc5-3495dd00f503

Catalogue record

Date deposited: 14 Aug 2008
Last modified: 13 Mar 2019 20:34

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