We consider corrections to vanishing U-e3 and maximal atmospheric neutrino mixing originating from the relation U = U-l U-v where U is the PMNS mixing matrix and U-l (U,) is associated with the diagonalization of the charged lepton (neutrino) mass matrix. We assume that in the limit of U-l or U-v being the unit matrix, one has U-e3 = 0 and theta(23) = pi/4, while the solar neutrino mixing angle is a free parameter. Well-known special cases of the indicated scenario are the bimaximal and tri-bimaximal mixing schemes. If U-e3 not equal 0 and theta(23) not equal pi/4 due to corrections from the charged leptons, vertical bar U-e3 vertical bar can be sizable (close to the existing upper limit) and we find that the value of the solar neutrino mixing angle is linked to the magnitude of CP violation in neutrino oscillations. In the alternative case of the neutrino sector correcting U-e3 = 0 and theta(23) = pi/4, we obtain a generically smaller vertical bar U-e3 vertical bar than in the first case. Now the magnitude of CP violation in neutrino oscillations is connected to the value of the atmospheric neutrino mixing angle theta(23). We find that both cases are in agreement with present observations. We also introduce parametrization independent "sum-rules" for the oscillation parameters. (c) 2007 Elsevier B.V All rights reserved.

U-PMNS = (UlUv)-U-dagger / Hochmuth, Ka; Petcov, St; Rodejohann, W. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 654:(2007), pp. 177-188. [10.1016/j.physletb.2007.08.072]

U-PMNS = (UlUv)-U-dagger

Petcov, ST;
2007-01-01

Abstract

We consider corrections to vanishing U-e3 and maximal atmospheric neutrino mixing originating from the relation U = U-l U-v where U is the PMNS mixing matrix and U-l (U,) is associated with the diagonalization of the charged lepton (neutrino) mass matrix. We assume that in the limit of U-l or U-v being the unit matrix, one has U-e3 = 0 and theta(23) = pi/4, while the solar neutrino mixing angle is a free parameter. Well-known special cases of the indicated scenario are the bimaximal and tri-bimaximal mixing schemes. If U-e3 not equal 0 and theta(23) not equal pi/4 due to corrections from the charged leptons, vertical bar U-e3 vertical bar can be sizable (close to the existing upper limit) and we find that the value of the solar neutrino mixing angle is linked to the magnitude of CP violation in neutrino oscillations. In the alternative case of the neutrino sector correcting U-e3 = 0 and theta(23) = pi/4, we obtain a generically smaller vertical bar U-e3 vertical bar than in the first case. Now the magnitude of CP violation in neutrino oscillations is connected to the value of the atmospheric neutrino mixing angle theta(23). We find that both cases are in agreement with present observations. We also introduce parametrization independent "sum-rules" for the oscillation parameters. (c) 2007 Elsevier B.V All rights reserved.
2007
654
177
188
Hochmuth, Ka; Petcov, St; Rodejohann, W
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/16241
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