Wednesday, July 31, 2013

1307.7866 (Takeshi Fukuyama et al.)

Hierarchical masses and universal mixing in quark-lepton mass matrices    [PDF]

Takeshi Fukuyama, Hiroyuki Nishiura
The universality hypothesis for quark and lepton mixing matrices (CKM and MNS) is further developed. This hypothesis explains why the CKM is almost diagonal whereas the MNS is almost maximally mixed. If this hypothesis is true, the Dirac CP violating phase of the MNS mixing matrix is bounded around $\pi$ or 0. Quark-lepton mass matrices which realizes this hypothesis are constructed, showing simple power law relations among mass matrices for up-type, down-type quarks and neutrinos.
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