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

Antusch, Stefan, King, Stephen F. and Malinský, Michal (2008) Third family corrections to quark and lepton mixing in SUSY models with non-abelian family symmetry. Journal of High Energy Physics, 2008, (05, 066) (doi:10.1088/1126-6708/2008/05/066).


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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 Kähler 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 Kähler 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 Kähler 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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1088/1126-6708/2008/05/066
ISSNs: 1126-6708 (print)
1029-8479 (electronic)
Subjects: Q Science > QC Physics
Divisions : University Structure - Pre August 2011 > School of Physics and Astronomy > Southampton High Energy Physics
ePrint ID: 144077
Accepted Date and Publication Date:
May 2008Published
Date Deposited: 19 Apr 2011 12:55
Last Modified: 31 Mar 2016 13:19

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