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- W2079609922 abstract "We examine the possibility that the form of the lepton mixing matrix can be determined by extremising the Jarlskog flavour invariants associated, eg. 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 $2 times 2$ principal minors ($-{rm Tr} C^2/2$), leads to a non-trivial mixing with zero CP violation. Extremising, by way of example, a general linear combination of two CP-symmetric invariants together, we show that our procedures can lead to acceptable mixings and to non-trivial predictions, eg. $|U_{e3}| simeq sqrt{2}/3 sqrt{Delta m_{12}^2/Delta m_{23}^2} (1-m_{mu}/m_{tau})^2 simeq 0.07$." @default.
- W2079609922 created "2016-06-24" @default.
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- W2079609922 date "2005-11-01" @default.
- W2079609922 modified "2023-10-18" @default.
- W2079609922 title "Covariant extremisation of flavour-symmetric Jarlskog invariants and the neutrino mixing matrix" @default.
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- W2079609922 doi "https://doi.org/10.1016/j.physletb.2005.09.009" @default.
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