Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-05-23
Physics
High Energy Physics
High Energy Physics - Phenomenology
4 pages, LaTeX, conference proceeding
Scientific paper
I demonstrate that neutrino large mixing between $\nu_\mu$ and $\nu_\tau$ are naturally reproduced using a novel mechanism called `E-twisting'in a supersymmetric $E_6$ grand unification model. This model explains all the characteristic features of the quark/lepton Dirac masses as well as the neutrino's Majorana masses despite the fact that all the members in {\bf27} of each generation are assigned a common family charge. Most remarkably, this model yields a novel relation which gives the 2-3 lepton mixing angle $\theta_{\mu\tau}$ in terms of quark masses and CKM mixing: $\tan\theta_{\mu\tau}=(m_b/m_s)V_{cb}$, which is a kind of SO(10) GUT relation similar to the celebrated SU(5) bottom-tau mass ratio. This relation is a result of a common `twisted SO(10)' structure.+
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