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A model of quarks with Delta (6N^2) family symmetry

A model of quarks with Delta (6N^2) family symmetry
A model of quarks with Delta (6N^2) family symmetry
We propose a first model of quarks based on the discrete family symmetry Delta (6N^2) in which the Cabibbo angle is correctly determined by a residual Z_2 times Z_2 subgroup, and the smaller quark mixing angles may be qualitatively understood from the model. The present model of quarks may be regarded as a first step towards formulating a complete model of quarks and leptons based on Delta (6N^2), in which the lepton mixing matrix is fully determined by a Klein subgroup. For example, the choice N=28 provides an accurate determination of both the reactor angle and the Cabibbo angle.
hep-ph
0370-2693
Ishimori, Hajime
b9d01d8f-9502-40c3-bdcc-70c40e8ade1c
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Ishimori, Hajime
b9d01d8f-9502-40c3-bdcc-70c40e8ade1c
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538

Ishimori, Hajime and King, Stephen F. (2014) A model of quarks with Delta (6N^2) family symmetry. Physics Letters B. (doi:10.1016/j.physletb.2014.06.003).

Record type: Article

Abstract

We propose a first model of quarks based on the discrete family symmetry Delta (6N^2) in which the Cabibbo angle is correctly determined by a residual Z_2 times Z_2 subgroup, and the smaller quark mixing angles may be qualitatively understood from the model. The present model of quarks may be regarded as a first step towards formulating a complete model of quarks and leptons based on Delta (6N^2), in which the lepton mixing matrix is fully determined by a Klein subgroup. For example, the choice N=28 provides an accurate determination of both the reactor angle and the Cabibbo angle.

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Published date: 6 June 2014
Additional Information: 12 pages, 5 figures; reference added
Keywords: hep-ph
Organisations: Theory Group

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Local EPrints ID: 408830
URI: http://eprints.soton.ac.uk/id/eprint/408830
ISSN: 0370-2693
PURE UUID: 3c32c10d-ba76-490d-9818-a11bbc15064d

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Date deposited: 28 May 2017 04:02
Last modified: 28 Aug 2019 17:34

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Contributors

Author: Hajime Ishimori
Author: Stephen F. King

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