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CP violating phase sum rule class='math'>δKMq+δKMl=0 for CKM and PMNS matrices

机译:CP违规阶段=“math”> Δ < MROW是=“TRUE”> KM Q + Δ km l = 0 用于CKM和PMNS矩阵

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The non-zero Dirac phases δq and δl in the CKM and PMNS mixing matrices signify CP violation. In general they are independent. Experimental data including recent T2K results show, however, that in the original KM parameterization for the mixing matrix, the sum δKMq+δKMl is close to zero with δKMq to be approximately π/2. The KM parameterization may have provided some hints that these phases are actually related and CP is maximally violated. We show that this sum rule can be accommodated in models with spontaneous CP violation where both phases originate from a non-trivial common spontaneous CP violating maximized phase in the Higgs potential. We find some interesting phenomenological consequences for flavor changing neutral current and CP violation for such a model. In particular, data from Bs?Bˉs mixing provide very strong constraints on the mass scale for the new neutral scalars in the model, yet the model still allows the electric dipole moments of electron and neutron to reach to their current upper bounds. The model can be tested by near future experiments.
机译:CKM和PMN混合矩阵中的非零DIAC阶段ΔQ和ΔL表示CP违规。一般来说,他们是独立的。然而,在混合矩阵的原始KM参数化中,实验数据包括最近的T2K结果,总和Δkmq+Δkml与Δkmq为大约π/ 2。 KM参数化可能提供了一些提示,这些阶段实际上是相关的,CP被最大地违反。我们表明,这一总和可以在具有自发CP违规的模型中容纳在模型中,其中两个阶段来自非普通公共自发CP违反了HIGGS潜力的最大化阶段。我们发现对这种模型的中性电流和CP违规的风味的一些有趣的现象造成的后果。特别地,来自BS的数据?BˉS混合为模型中的新中性标量的质量规模提供了非常强的约束,但该模型仍然允许电子和中子的电偶极矩达到其当前的上界。该模型可以通过近期进行测试来测试。

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