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Twisted Family Structure and Neutrino Large Mixing

Masako Bando
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Abstract

I demonstrate that neutrino large mixing between $ν_μ$ and $ν_τ$ 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 $θ_{μτ}$ in terms of quark masses and CKM mixing: $\tanθ_{μτ}=(m_b/m_s)V_{cb}$, 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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Masako Bando. 2000-05-23. Twisted Family Structure and Neutrino Large Mixing. https://arxiv.org/abs/hep-ph/0005229

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