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arXiv · 0706.1729

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

Quentin Duret·Bruno Machet
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Abstract

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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Quentin Duret, Bruno Machet. 2007-06-12. Mixing angles of quarks and leptons as an outcome of SU(2) horizontal symmetries. https://arxiv.org/abs/0706.1729

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