English

Relation between the neutrino and quark mixing angles and grand unification

High Energy Physics - Phenomenology 2008-11-26 v3 Astrophysics High Energy Physics - Experiment

Abstract

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.

Keywords

Cite

@article{arxiv.hep-ph/0404046,
  title  = {Relation between the neutrino and quark mixing angles and grand unification},
  author = {Martti Raidal},
  journal= {arXiv preprint arXiv:hep-ph/0404046},
  year   = {2008}
}

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