A to Z of Flavour with Pati-Salam
Abstract
We propose an elegant theory of flavour based on family symmetry with Pati-Salam unification which provides an excellent description of quark and lepton masses, mixing and CP violation. The symmetry unifies the left-handed families and its vacuum alignment determines the columns of Yukawa matrices. The symmetry distinguishes the right-handed families and its breaking controls CP violation in both the quark and lepton sectors. The Pati-Salam symmetry relates the quark and lepton Yukawa matrices, with and . Using the see-saw mechanism with very hierarchical right-handed neutrinos and CSD4 vacuum alignment, the model predicts the entire PMNS mixing matrix and gives a Cabibbo angle . In particular it predicts maximal atmospheric mixing, and leptonic CP violating phase . The reactor angle prediction is , while the solar angle is , for a lightest neutrino mass in the range meV, corresponding to a normal neutrino mass hierarchy and a very small rate for neutrinoless double beta decay.
Keywords
Cite
@article{arxiv.1406.7005,
title = {A to Z of Flavour with Pati-Salam},
author = {Stephen F. King},
journal= {arXiv preprint arXiv:1406.7005},
year = {2014}
}
Comments
38 pages, 28 figures, published version