Assessing the Viability of $A_4$, $S_4$ and $A_5$ Flavour Symmetries for Description of Neutrino Mixing - INSPIRE

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Assessing the Viability of $A_4$ , $S_4$ and $A_5$ Flavour Symmetries for Description of Neutrino Mixing

S.T. Petcov
(
- INFN, Trieste and
- SISSA, Trieste and
- Tokyo U., IPMU and
- Sofiya, Inst. Nucl. Res.
)
,
A.V. Titov
(
- Durham U., IPPP
)

Mar 31, 2018

15 pages

Published in:

Phys.Rev.D 97 (2018) 11, 115045

Published: Jun 30, 2018

e-Print:

1804.00182 [hep-ph]

DOI:

10.1103/PhysRevD.97.115045

Report number:

SISSA 15/2018/FISI,
IPMU18-0058,
IPPP/18/22,
SISSA-15-2018-FISI,
IPPP-18-22

View in:

ADS Abstract Service

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Abstract: (APS)

We consider the A4, S4, and A5 discrete lepton flavor symmetries in the case of 3-neutrino mixing, broken down to nontrivial residual symmetries in the charged lepton and neutrino sectors in such a way that at least one of them is a Z2. Such symmetry breaking patterns lead to predictions for some of the three neutrino mixing angles and/or the leptonic Dirac CP violation phase δ of the neutrino mixing matrix. We assess the viability of these predictions by performing a statistical analysis which uses as an input the latest global data on the neutrino mixing parameters. We find 14 phenomenologically viable cases providing distinct predictions for some of the mixing angles and/or the Dirac phase δ. Employing the current best fit values of the three neutrino mixing angles, we perform a statistical analysis of these cases taking into account the prospective uncertainties in the determination of the mixing angles, planned to be achieved in currently running (Daya Bay) and the next generation (JUNO, T2HK, DUNE) of neutrino oscillation experiments. We find that only six cases would be compatible with these prospective data. We show that this number is likely to be further reduced by a precision measurement of δ.

Note:

24 pages, 7 figures, 4 tables

new physics
symmetry: flavor
symmetry: S(4)
symmetry: A(4)
symmetry: A(5)
neutrino: oscillation
neutrino: mixing angle: measured
statistical analysis
phase: CP
CP: violation

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