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arXiv 0908.2067hep-ph
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含三个Higgs族的超对称标准模型中味问题的求解

Solving the Flavour Problem in Supersymmetric Standard Models with Three Higgs Families

R. Howl, S. F. King

摘要:

我们展示了如何使用非阿贝尔族对称性Delta(27)来解决包含三个Higgs族的超对称标准模型的味道问题,例如例外超对称标准模型(E(6)SSM)。E(6)SSM的三个27维族,包括希格斯场的三个族,在Delta(27)族对称性的三重表示中变换,允许族对称性与可能的高能E(6)对称性交换。这里的Delta(27)族对称性提供了对E(6)SSM的Z(2)H对称性的高能理解,它解决了希格斯场三族的味道改变中性流问题。该模型的主要唯象预测是轻子的三-二-极大混合,两个几乎简并的LSP和两个几乎简并的色三重态D-费米子族,为LHC提供了一个明确的预测。此外,该模型预测PGB的质量低于TeV规模,并可能轻得多,这似乎是一个相当普遍和强大的预测的所有模型的基础上的D-项真空对齐机制。

英文摘要:

We show how a non-Abelian family symmetry Delta(27) can be used to solve the flavour problem of supersymmetric standard models containing three Higgs families such as the Exceptional Supersymmetric Standard Model (E(6)SSM). The three 27 dimensional families of the E(6)SSM, including the three families of Higgs fields, transform in a triplet representation of the Delta(27) family symmetry, allowing the family symmetry to commute with a possible high energy E(6) symmetry. The Delta(27) family symmetry here provides a high energy understanding of the Z(2)H symmetry of the E(6)SSM, which solves the flavour changing neutral current problem of the three families of Higgs fields. The main phenomenological predictions of the model are tri-bi-maximal mixing for leptons, two almost degenerate LSPs and two almost degenerate families of colour triplet D-fermions, providing a clear prediction for the LHC. In addition the model predicts PGBs with masses below the TeV scale, and possibly much lighter, which appears to be a quite general and robust prediction of all models based on the D-term vacuum alignment mechanism.

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