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# Solving the SUSY flavour and CP problems with SU(3) family symmetry

Record type: Article

We show how the SUSY flavour and CP problems can be solved using gauged SU(3) family symmetry previously introduced to describe quark and lepton masses and mixings, in particular neutrino tri-bimaximal mixing via constrained sequential dominance. The Yukawa and soft trilinear and scalar mass squared matrices and kinetic terms are expanded in powers of the flavons used to spontaneously break the SU(3) family symmetry, and the canonically normalized versions of these matrices are constructed.

The soft mass matrices are then expressed in the Super-CKM basis, and the leading order mass insertion parameters are calculated, and are shown to satisfy the experimental constraints from flavour changing neutral current processes. Assuming that CP is spontaneously broken by the flavons, the next-to-leading order effects responsible for CP violation are then estimated, and the predictions for electric dipole moments are shown to be an order of magnitude more suppressed than those predicted from the constrained minimal supersymmetric standard model (CMSSM), and may be further suppressed if the high energy trilinear soft parameter is assumed to be relatively small.

We also predict that, unlike in the CMSSM, ?K'/?K may be dominated by the SUSY operator O8. We also discuss the additional constraints from unification, which can lead to further predictions for flavour changing in our scheme.

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## Citation

Antusch, Stefan, King, Stephen F. and Malinský, Michal (2008) Solving the SUSY flavour and CP problems with SU(3) family symmetry Journal of High Energy Physics, 2008, p. 68.

Published date: 19 June 2008
Keywords: neutrino physics, supersymmetry phenomenology, CP violation

## Identifiers

Local EPrints ID: 143995
URI: http://eprints.soton.ac.uk/id/eprint/143995
PURE UUID: 99bdba79-5f6e-44c5-88d0-83a844bcd46a

## Catalogue record

Date deposited: 25 May 2010 08:17

## Contributors

Author: Stefan Antusch
Author: Stephen F. King
Author: Michal Malinský