Correlated Hierarchy, Dirac Masses and Large Mixing Angles

Details Correlated Hierarchy, Dirac Masses and Large Mixing Angles Correlated Hierarchy, Dirac Masses and Large Mixing Angles

2003-05-31

arxiv.org/abs/hep-ph/0306002v2

Nucl.Phys. B671 (2003) 383-400

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, no fig, some refs. added

Scientific paper

10.1016/j.nuclphysb.2003.08.026

We introduce a new parametrization of the MNS lepton mixing matrix which separates the hierarchical Grand Unified relations among quarks and leptons. We argue that one large angle stems from the charged leptons, the other from the seesaw structure of the neutral lepton mass matrix. We show how two large mixing angles can arise naturally provided there are special requirements on the Dirac ($\Delta I_{\rm w}=1/2$) and Majorana ($\Delta I_{\rm w}=0$) masses. One possibility is a correlated hierarchy between them, the other is that the $\Delta I_{\rm w}=0$ Majorana mass has a specific texture; it is Dirac-like for two of the three families.

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