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Neutrino mixing sum rules and oscillation experiments

Antusch, Stefano, Huber, Patrick, King, Steve F. and Schwetz, Thomas (2007) Neutrino mixing sum rules and oscillation experiments Journal of High Energy Physics, 4, p. 60. (doi:10.1088/1126-6708/2007/04/060).

Record type: Article


The neutrino mixing sum rule ?12-?13cos(?) approx ??12 provides a possibility to explore the structure of the neutrino mass matrix in the presence of charged lepton corrections, since it relates the 1-2 mixing angle from the neutrino mass matrix, ?12?, to observable parameters of the PMNS mixing matrix. The neutrino mixing sum rule holds if the charged lepton mixing angles are CKM-like, i.e., small and dominated by a 1-2 mixing, and for small 1-3 mixing in the neutrino mass matrix. These conditions hold in a wide class of well motivated flavour models. We apply this sum rule to present oscillation data, and we investigate the prospects of future neutrino facilities for exploring the sum rule by simulating various setups for long-baseline reactor and accelerator experiments. As explicit examples, we use the sum rule to test the hypotheses of tri-bimaximal and bimaximal neutrino mixing, where ??12 is predicted by sin2(??12) = 1/3 or 1/2, respectively, although the neutrino mixing sum rule can be used to test any prediction for ??12.

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Published date: 18 April 2007
Keywords: neutrino physics, beyond standard model, sum rules


Local EPrints ID: 56974
PURE UUID: 5a0456dc-f552-4d80-b7f2-1bbeafc4b881

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Date deposited: 13 Aug 2008
Last modified: 17 Jul 2017 14:29

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Author: Stefano Antusch
Author: Patrick Huber
Author: Steve F. King
Author: Thomas Schwetz

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