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Quark-lepton complementarity relation and neutrino mass hierarchy

Javier Ferrandis*

Sandip Pakvasa†

  • MEC postdoctoral fellow at the Theoretical Physics Group, Lawrence Berkeley National Laboratory, One Cyclotron Road, Berkeley California 94720, USA

  • Department of Physics & Astronomy, University of Hawaii at Manoa, 2505 Correa Road, Honolulu, Hawaii, 96822, USA

  • *Electronic address: ferrandis@mac.com URL: http://homepage.mac.com/ferrandis
  • †Electronic address: pakvasa@phys.hawaii.edu
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Phys. Rev. D 71, 033004 – Published 22 February, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.033004

Abstract

Latest measurements have revealed that the deviation from a maximal solar mixing angle is approximately the Cabibbo angle [i.e., quark-lepton complementarity (QLC) relation]. We argue that it is not plausible that this deviation from maximality, be it a coincidence or not, comes from the charged lepton mixing. Consequently we have calculated the required corrections to the exactly bimaximal neutrino mass matrix ansatz necessary to account for the solar mass difference and the solar mixing angle. We point out that the relative size of these two corrections depends strongly on the hierarchy case under consideration. We find that the inverted hierarchy case with opposite CP parities, which is known to guarantee the renormalization group equations stability of the solar mixing angle, offers the most plausible scenario for a high-energy origin of a QLC-corrected bimaximal neutrino mass matrix. This possibility may allow us to explain the QLC relation in connection with the origin of the charged fermion mass matrices.

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Phys. Rev. D 71, 033004– Published 22 February, 2005
  • Received 9 December 2004

© 2005 American Physical Society

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