Mixing angles of quarks and leptons as an outcome of SU(2) horizontal symmetries

Details Mixing angles of quarks and leptons as an outcome of SU(2) horizontal symmetries Mixing angles of quarks and leptons as an outcome of SU(2) horizontal symmetries

2007-06-12

arxiv.org/abs/0706.1729v1

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.

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