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Seesaw mechanism in quark-lepton complementarity

Florian Plentinger*, Gerhart Seidl†, and Walter Winter‡

  • Institut für Theoretische Physik und Astrophysik, Universität Würzburg, D-97074 Würzburg, Germany

  • *florian.plentinger@physik.uni-wuerzburg.de
  • †seidl@physik.uni-wuerzburg.de
  • ‡winter@physik.uni-wuerzburg.de
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Phys. Rev. D 76, 113003 – Published 19 December, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.113003

Abstract

We systematically construct realistic mass matrices for the type-I seesaw mechanism out of more than 20×1012 possibilities. We use only very generic assumptions from extended quark-lepton complementarity, i.e., the leptonic mixing angles between flavor and mass eigenstates are either maximal or parametrized by a single small quantity ϵ that is of the order of the Cabibbo angle ϵ≃θC. The small quantity ϵ also describes all fermion mass hierarchies. We show that special cases often considered in the literature, such as having a symmetric Dirac mass matrix or small mixing among charged leptons, constitute only a tiny fraction of our possibilities. Moreover, we find that in most cases the spectrum of right-handed neutrino masses is only mildly hierarchical. As a result, we provide for the charged leptons and neutrinos a selected list of 1981 qualitatively different Yukawa coupling matrices (or textures) that are parametrized by the Cabibbo angle and allow for a perfect fit to current data. In addition, we also briefly show how the textures could be generated in explicit models from flavor symmetries.

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Phys. Rev. D 76, 113003– Published 19 December, 2007
  • Received 3 August 2007

© 2007 American Physical Society

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