Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-06-12
Physics
High Energy Physics
High Energy Physics - Phenomenology
While calculations are unchanged w.r.t. arXiv:0705.1237, the horizontal symmetries controlling the mixing angles have been unc
Scientific paper
We show that all mixing angles are determined, within experimental uncertainty, by a product of SU(2) horizontal symmetries intimately linked to the algebra of weak neutral currents. This concerns: on one hand, the three quark mixing angles; on the other hand, a neutrino-like pattern in which theta_{23} is maximal and tan (2 theta_{12}) = 2. The latter turns out to exactly satisfy the ``quark-lepton complementarity condition'' theta_c + theta_{12} = pi/4. Moreover, among all solutions, two values for the third neutrino mixing angle arise, which satisfy the bound sin^2(theta_{13}) \leq 0.1: theta_{13} = +/- 5.7 10^{-3} and theta_{13} = +/- 0.2717.
Duret Quentin
Machet Bruno
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