Novel Relations between Lepton and Quark Mixings
High Energy Physics - Phenomenology
2009-10-31 v2
Abstract
A novel relation is found which gives the 2-3 lepton mixing angle in terms of quark masses and CKM mixing: \tan\theta_{\mu\tau}=(m_b/m_s)V_{cb}. This relation, which is remarkably in good agreement with the quark data and the large lepton mixing recently observed, is a kind of SO(10) GUT relation similar to the celebrated bottom-tau mass ratio in SU(5). The GUT models in which this relation hold should have a `twisted SO(10)' structure between the second and third generations, in order to really explain the large lepton mixing, or equivalently, the right-hand side of the relation.
Cite
@article{arxiv.hep-ph/0003231,
title = {Novel Relations between Lepton and Quark Mixings},
author = {Masako Bando and Taichiro Kugo and Koichi Yoshioka},
journal= {arXiv preprint arXiv:hep-ph/0003231},
year = {2009}
}
Comments
8 pages, typos corrected