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

18 April 2007

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, .
(doi:10.1088/1126-6708/2007/04/060).

## 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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## Contributors

Author:
Stefano Antusch

Author:
Patrick Huber

Author:
Thomas Schwetz

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