Monday, September 3, 2012

1208.6546 (S. M. Barr et al.)

A Simple Grand Unified Relation between Neutrino Mixing and Quark Mixing    [PDF]

S. M. Barr, Heng-Yu Chen
It is proposed that all flavor mixing is caused by the mixing of the three quark and lepton families with vectorlike fermions in 5 + 5-bar multiplets of SU(5). This simple assumption implies that both V_{CKM} and U_{MNS} are generated by a single matrix. The entire 3-by-3 complex mass matrix of the neutrinos M_{nu} is then found to have a simple expression in terms of two complex parameters and an overall scale. Thus, all the presently unknown neutrino parameters are predicted. The best fits are for theta_{atm} less than or approximately 40 degrees. The leptonic Dirac CP phase is found to be somewhat greater than pi radians.
View original: http://arxiv.org/abs/1208.6546

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