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# A to Z of Flavour with Pati-Salam

King, Stephen F. (2014) A to Z of Flavour with Pati-Salam. Journal of High Energy Physics.

Record type: Article

## Abstract

We propose an elegant theory of flavour based on $A_4\times Z_5$ family symmetry with Pati-Salam unification which provides an excellent description of quark and lepton masses, mixing and CP violation. The $A_4$ symmetry unifies the left-handed families and its vacuum alignment determines the columns of Yukawa matrices. The $Z_5$ 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 $Y^u=Y^{\nu}$ and $Y^d\sim Y^e$. 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 $\theta_C\approx 1/4$. In particular it predicts maximal atmospheric mixing, $\theta^l_{23}=45^\circ\pm 0.5^\circ$ and leptonic CP violating phase $\delta^l=260^\circ \pm 5^\circ$. The reactor angle prediction is $\theta^l_{13}=9^\circ\pm 0.5^\circ$, while the solar angle is $34^\circ \geq \theta^l_{12}\geq 31^\circ$, for a lightest neutrino mass in the range $0 \leq m_1 \leq 0.5$ meV, corresponding to a normal neutrino mass hierarchy and a very small rate for neutrinoless double beta decay.

Other
pdf - Accepted Manuscript

Published date: 25 August 2014
Additional Information: 38 pages, 28 figures, published version
Keywords: hep-ph
Organisations: Theory Group

## Identifiers

Local EPrints ID: 408836
URI: http://eprints.soton.ac.uk/id/eprint/408836
ISSN: 1029-8479
PURE UUID: 62cd2abc-a611-433c-9cc2-51097f15c86a

## Catalogue record

Date deposited: 28 May 2017 04:03

## Contributors

Author: Stephen F. King