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arXiv 0712.3759hep-ph
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具有非阿贝尔族对称性的SUSY模型中夸克和轻子混合的第三族修正

Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry

Stefan Antusch, Stephen F. King, Michal Malinsky

摘要:

我们重新分析的影响,从正则归一化的动力学项的夸克和轻子混合角的校正。这种类型的修正出现,例如,从有效的高维Kahler潜在运营商的背景下,局部超对称模型的味道。与以前的研究相比,我们发现,重新定义的字段,以恢复正则归一化的动力学项,即正则归一化的必要程序,可以导致显着的修正费米子混合角(从超势确定)。这种潜在的大效应是基于非阿贝尔家族对称性的味道模型的特征,其中一些可能的卡勒势(和超势)算子,特别是与第三家族相关的算子,仅被轻度抑制。我们调查在何种条件下的信使部门的味道模型产生这样的Kahler潜在的运营商的典型的归一化效应是相当大的,在何种条件下,这些运营商可能是缺席和典型的归一化效应是小的。作为潜在相关CN效应的明确例子,我们将讨论CKM矩阵元素的修正|V_{cb}|以及对三双峰中微子混合的修正。

英文摘要:

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 Kahler 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 Kahler 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 Kahler 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 |V_{cb}| as well as corrections to tri-bimaximal neutrino mixing.

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