Quark mixing from Delta(6N^2) family symmetry

Quark mixing from Delta(6N^2) family symmetry

We consider a direct approach to quark mixing based on the discrete family symmetry Delta (6N^2) in which the Cabibbo angle is determined by a residual Z_2 times Z_2 subgroup to be $|V_{us}|=0.222521$, for $N$ being a multiple of 7. We propose a particular model in which unequal smaller quark mixing angles and CP phases may occur without breaking the residual Z_2 times Z_2 symmetry. We perform a numerical analysis of the model for $N=14$, where small Z_2 times Z_2 breaking effects of order 3% are allowed by model, allowing perfect agreement within the uncertainties of the experimentally determined best fit quark mixing values.

hep-ph

172-179

Ishimori, Hajime

b9d01d8f-9502-40c3-bdcc-70c40e8ade1c

King, Stephen F.

f8c616b7-0336-4046-a943-700af83a1538

Okada, Hiroshi

e778fc32-a3b4-4033-b668-33aa56ca94c4

Tanimoto, Morimitsu

7c09e83b-1fa4-41ad-be1a-600aa75bb1e9

18 February 2015

Ishimori, Hajime

b9d01d8f-9502-40c3-bdcc-70c40e8ade1c

King, Stephen F.

f8c616b7-0336-4046-a943-700af83a1538

Okada, Hiroshi

e778fc32-a3b4-4033-b668-33aa56ca94c4

Tanimoto, Morimitsu

7c09e83b-1fa4-41ad-be1a-600aa75bb1e9

Ishimori, Hajime, King, Stephen F., Okada, Hiroshi and Tanimoto, Morimitsu
(2015)
Quark mixing from Delta(6N^2) family symmetry.
*Physics Letters B*, 743, .
(doi:10.1016/j.physletb.2015.02.027).

## Abstract

We consider a direct approach to quark mixing based on the discrete family symmetry Delta (6N^2) in which the Cabibbo angle is determined by a residual Z_2 times Z_2 subgroup to be $|V_{us}|=0.222521$, for $N$ being a multiple of 7. We propose a particular model in which unequal smaller quark mixing angles and CP phases may occur without breaking the residual Z_2 times Z_2 symmetry. We perform a numerical analysis of the model for $N=14$, where small Z_2 times Z_2 breaking effects of order 3% are allowed by model, allowing perfect agreement within the uncertainties of the experimentally determined best fit quark mixing values.

Other

** pdf
- Accepted Manuscript**
## More information

Published date: 18 February 2015

Additional Information:
14 pages, 6 figures. arXiv admin note: text overlap with arXiv:1403.4395

Keywords:
hep-ph

Organisations:
Theory Group

## Identifiers

Local EPrints ID: 408690

URI: http://eprints.soton.ac.uk/id/eprint/408690

ISSN: 0370-2693

PURE UUID: 5e2e122b-d649-43c2-8b1a-64ed73166029

## Catalogue record

Date deposited: 26 May 2017 04:02

Last modified: 02 Dec 2019 19:06

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## Contributors

Author:
Hajime Ishimori

Author:
Hiroshi Okada

Author:
Morimitsu Tanimoto

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