Relation between the neutrino and quark mixing angles and grand unification

Details Relation between the neutrino and quark mixing angles and grand unification Relation between the neutrino and quark mixing angles and grand unification

2004-04-06

arxiv.org/abs/hep-ph/0404046v3

Phys.Rev.Lett.93:161801,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

references added, title changed in journal

Scientific paper

10.1103/PhysRevLett.93.161801

We argue that there exists simple relation between the quark and lepton mixings which supports the idea of grand unification and probes the underlying robust bi-maximal fermion mixing structure of still unknown flavor physics. In this framework the quark mixing matrix is a parameter matrix describing the deviation of neutrino mixing from exactly bi-maximal, predicting theta_{sol}+theta_C=pi/4, where theta_C is the Cabibbo angle, theta_{atm}+theta_{23}^{CKM}=pi/4 and theta_{13}^{MNS} ~ theta_{13}^{CKM} ~ O(lambda^3), in a perfect agreement with experimental data. Both non-Abelian and Abelian flavor symmetries are needed for such a prediction to be realistic. An example flavor model capable to explain this flavor mixing pattern, and to induce the measured quark and lepton masses, is outlined.

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