Minimal see-saw model predicting best fit lepton mixing angles
Minimal see-saw model predicting best fit lepton mixing angles
We discuss a minimal predictive see-saw model in which the right-handed neutrino mainly responsible for the atmospheric neutrino mass has couplings to (?e,??,??)(?e,??,??) proportional to (0,1,1)(0,1,1) and the right-handed neutrino mainly responsible for the solar neutrino mass has couplings to (?e,??,??)(?e,??,??) proportional to (1,4,2)(1,4,2), with a relative phase ?=?2?/5?=?2?/5. We show how these patterns of couplings could arise from an A4A4 family symmetry model of leptons, together with Z3Z3 and Z5Z5 symmetries which fix ?=?2?/5?=?2?/5 up to a discrete phase choice. The PMNS matrix is then completely determined by one remaining parameter which is used to fix the neutrino mass ratio m2/m3m2/m3. The model predicts the lepton mixing angles ?12?34?,?23?41?,?13?9.5??12?34?,?23?41?,?13?9.5?, which exactly coincide with the current best fit values for a normal neutrino mass hierarchy, together with the distinctive prediction for the CP violating oscillation phase ??106???106?.
92-98
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
9 July 2013
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Abstract
We discuss a minimal predictive see-saw model in which the right-handed neutrino mainly responsible for the atmospheric neutrino mass has couplings to (?e,??,??)(?e,??,??) proportional to (0,1,1)(0,1,1) and the right-handed neutrino mainly responsible for the solar neutrino mass has couplings to (?e,??,??)(?e,??,??) proportional to (1,4,2)(1,4,2), with a relative phase ?=?2?/5?=?2?/5. We show how these patterns of couplings could arise from an A4A4 family symmetry model of leptons, together with Z3Z3 and Z5Z5 symmetries which fix ?=?2?/5?=?2?/5 up to a discrete phase choice. The PMNS matrix is then completely determined by one remaining parameter which is used to fix the neutrino mass ratio m2/m3m2/m3. The model predicts the lepton mixing angles ?12?34?,?23?41?,?13?9.5??12?34?,?23?41?,?13?9.5?, which exactly coincide with the current best fit values for a normal neutrino mass hierarchy, together with the distinctive prediction for the CP violating oscillation phase ??106???106?.
Other
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Published date: 9 July 2013
Organisations:
Physics & Astronomy
Identifiers
Local EPrints ID: 369300
URI: http://eprints.soton.ac.uk/id/eprint/369300
ISSN: 0370-2693
PURE UUID: 233f8f88-21f0-446b-a9d2-02260f5bf71b
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Date deposited: 23 Sep 2014 12:53
Last modified: 21 Aug 2025 11:52
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