Predicting theta_13 and the Neutrino Mass Scale from Quark Lepton Mass Hierarchies

Details Predicting theta_13 and the Neutrino Mass Scale from Quark Lepton Mass Hierarchies Predicting theta_13 and the Neutrino Mass Scale from Quark Lepton Mass Hierarchies

2011-11-16

arxiv.org/abs/1111.3872v3

JHEP 1203:008,2012

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 8 figures, 1 table; v3: minor changes, version to appear in JHEP

Scientific paper

10.1007/JHEP03(2012)008

Flavour symmetries of Froggatt-Nielsen type can naturally reconcile the large quark and charged lepton mass hierarchies and the small quark mixing angles with the observed small neutrino mass hierarchies and their large mixing angles. We point out that such a flavour structure, together with the measured neutrino mass squared differences and mixing angles, strongly constrains yet undetermined parameters of the neutrino sector. Treating unknown O(1) parameters as random variables, we obtain surprisingly accurate predictions for the smallest mixing angle, sin^2(2 theta_13) = 0.07 (+0.11)(-0.05), the smallest neutrino mass, m_1 = 2.2 (+1.7)(-1.4) x 10^-3 eV, and one Majorana phase, alpha_21 / pi = 1.0 (+0.2)(-0.2).

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