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Lepton flavour violation in composite Higgs models

机译:复合希格斯模型中的轻子风味违反

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摘要

We discuss in detail the constraints on the partial compositeness coming from flavour and CP violation in the leptonic sector. In the first part we present a formulation of partial compositeness in terms of a flavour symmetry group and a set of spurions, whose background values specify the symmetry breaking pattern. In such a framework we construct the complete set of dimension-six operators describing lepton flavour violation and CP violation. By exploiting the existing bounds, we derive limits on the compositeness scale in different scenarios, characterised by increasing restrictions on the spurion properties. We confirm that in the most general case the compositeness scale should lie well above 10 TeV. However, if in the composite sector the mass parameters and Yukawa couplings are universal, such a bound can be significantly lowered, without necessarily reproducing the case of minimal flavour violation. The most sensitive processes are decays of charged leptons either of radiative type or into three charged leptons, μ → e conversion in nuclei and the electric dipole moment of the electron. In the second part we explicitly compute the Wilson coefficients of the relevant dimension-six operators in the so-called two-site model, embodying the symmetry breaking pattern discussed in our first part, and we compare the results with those of the general spurion analysis.
机译:我们详细讨论了在轻子领域中由于风味和CP违规造成的部分复合性的约束。在第一部分中,我们根据口味对称组和一组突波峰提出了部分复合的表述,其背景值指定了对称破坏模式。在这样的框架中,我们构造了描述六次轻子风味违反和CP违反的六维运算符的完整集合。通过利用现有界限,我们得出了在不同情况下对合成度规模的限制,其特征是对支链性质的限制越来越大。我们确认,在最一般的情况下,综合规模应远高于10 TeV。但是,如果在复合材料领域中质量参数和Yukawa耦合是通用的,则可以显着降低这种界限,而不必重现最小限度的风味破坏情况。最敏感的过程是带电的轻子衰变到辐射型或三个带电的轻子中,核中的μ→e转换和电子的电偶极矩。在第二部分中,我们明确体现了在第一部分中讨论的对称破坏模式,从而在所谓的两点模型中显式计算了相关的六维算子的威尔逊系数,并将结果与​​常规支链分析相比较。 。

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