Published May 2008 | Version v1
Journal article

Third family corrections to quark and lepton mixing in SUSY models with non-abelian family symmetry

  • 1. Max-Planck-Institut fuer Physik (Werner-Heisenberg-Institut), Foehringer Ring 6, D-80805 Muenchen (Germany)
  • 2. School of Physics and Astronomy, University of Southampton, SO16 1BJ Southampton (United Kingdom)

Description

We re-analyse the effect of corrections from canonical normalisation of kinetic terms on the quark and lepton mixing angles. This type of corrections emerges, for example, from effective higher-dimensional Kaehler potential operators in the context of locally supersymmetric models of flavour. In contrast to previous studies we find that the necessary procedure of redefining the fields in order to restore canonically normalised kinetic terms, i.e. canonical normalisation, can lead to significant corrections to the fermion mixing angles (as determined from the superpotential). Such potentially large effects are characteristic of flavour models based on non-Abelian family symmetries, where some of the possible Kaehler potential (and superpotential) operators, in particular those associated with the third family, are only mildly suppressed. We investigate under which conditions the messenger sector of such flavour models generates such Kaehler potential operators for which the canonical normalisation effects are sizeable, and under which conditions these operators may be absent and canonical normalisation effects are small. As explicit examples for potentially relevant CN effects, we will discuss the corrections to the CKM matrix element |Vcb| as well as corrections to tri-bimaximal neutrino mixing.

Availability note (English)

Available from http://dx.doi.org/10.1088/1126-6708/2008/05/066

Additional details

Publishing Information

Journal Title
Journal of High Energy Physics
Journal Volume
05
Journal Issue
2008
Journal Page Range
p. 066
ISSN
1126-6708