Eur. Phys. J. C (2007) 50: 573-578
https://doi.org/10.1140/epjc/s10052-007-0212-z

Regular Article - Theoretical Physics

Quark–lepton complementarity with lepton and quark mixing data predict θ₁₃ ^PMNS=(9⁺¹ _-2)°

¹ Centro de Física Teórica das Partículas (CFTP) Departamento de Física, Instituto Superior Técnico Av. Rovisco Pais, 1049-001, Lisboa, Portugal
² Dipartimento di Fisica, Università di Lecce and INFN-Lecce, Via Arnesano, ex Collegio Fiorini, 73100, Lecce, Italy
³ Dep. de Fisica, Grupo de Fisica Teorica, Univ. de Murcia, Murcia, Spain

^* e-mail: marco.picariello@cern.ch

Received: 16 October 2006
Revised: 14 December 2006
Published online: 9 February 2007

Abstract

The complementarity between the quark and lepton mixing matrices is shown to provide a robust prediction for the neutrino mixing angle θ₁₃ ^PMNS. We obtain this prediction by first showing that the matrix V_M, product of the CKM and PMNS mixing matrices, may have a zero (1,3) entry, which is favored by the experimental data. Hence models with bimaximal or tribimaximal forms of the correlation matrix V_M are quite possible. Any theoretical model with a vanishing (1,3) entry of V_M, which is in agreement with the quark data, and the solar and the atmospheric mixing angle leads to θ₁₃ ^PMNS=(9⁺¹ _-2)^°. This value is consistent with the present 90% CL experimental upper limit.