4.7 Article

Quark lepton complementarity and renormalization group effects

Journal

PHYSICAL REVIEW D
Volume 74, Issue 11, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.74.113003

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We consider a scenario for the quark-lepton complementarity relations between mixing angles in which the bimaximal mixing follows from the neutrino mass matrix. According to this scenario in the lowest order the angle theta(12) is similar to 1 sigma (1.5 degrees-2 degrees) above the best fit point coinciding practically with the tribimaximal mixing prediction. Realization of this scenario in the context of the seesaw type-I mechanism with leptonic Dirac mass matrices approximately equal to the quark mass matrices is studied. We calculate the renormalization group corrections to theta(12) as well as to theta(13) in the standard model (SM) and minimal supersymmetric standard model (MSSM). We find that in a large part of the parameter space corrections Delta theta(12) are small or negligible. In the MSSM version of the scenario, the correction Delta theta(12) is in general positive. Small negative corrections appear in the case of an inverted mass hierarchy and opposite CP parities of nu(1) and nu(2) when leading contributions to theta(12) running are strongly suppressed. The corrections are negative in the SM version in a large part of the parameter space for values of the relative CP phase of nu(1) and nu(2): phi >pi/2.

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