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

Quentin Duret (1) , Bruno Machet (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

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.

Domaines: Physique des Hautes Energies - Phénoménologie [hep-ph]

Quentin Duret, Bruno Machet. Mixing angles of quarks and leptons as an outcome of SU(2) horizontal symmetries. 2007. ⟨hal-00154108⟩