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Neutrino mixing sum rules and oscillation experiments

Neutrino mixing sum rules and oscillation experiments
Neutrino mixing sum rules and oscillation experiments
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.
neutrino physics, beyond standard model, sum rules
60
Antusch, Stefano
6d32bfd4-ccc5-4c1c-a311-d729bef1a279
Huber, Patrick
59eeb22f-b5ae-4199-82ad-d19746563e31
King, Steve F.
f8c616b7-0336-4046-a943-700af83a1538
Schwetz, Thomas
9aed10ee-a8bd-4fe4-8160-4ea102fa9c8d
Antusch, Stefano
6d32bfd4-ccc5-4c1c-a311-d729bef1a279
Huber, Patrick
59eeb22f-b5ae-4199-82ad-d19746563e31
King, Steve F.
f8c616b7-0336-4046-a943-700af83a1538
Schwetz, Thomas
9aed10ee-a8bd-4fe4-8160-4ea102fa9c8d

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

Record type: Article

Abstract

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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More information

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

Identifiers

Local EPrints ID: 56974
URI: https://eprints.soton.ac.uk/id/eprint/56974
PURE UUID: 5a0456dc-f552-4d80-b7f2-1bbeafc4b881

Catalogue record

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

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