论文标题
当$ \tanβ$符合所有混合角度时
When $\tan β$ meets all the mixing angles
论文作者
论文摘要
带有两种二刺和自然风味的模型包含$ \tanβ= v_2 / v_1 $作为物理参数。我们在这里提供了一个最近提出的想法的概括，在该想法中，只有$θ_\ text {c} \ simeq 0.22 $，与$ \tanβ$有关，借助$ \ mathbb {d} _ {4} _ {4} $ diheDral Symmetry Group。最初的提案包括一代无数的夸克，没有与第三代混合。在我们的案例中，通过添加第三个希格斯双线峰，具有较小的真空度预测值但质量很大，因此后来解耦，所有夸克变得巨大，夸克混合得到了充分再现。实际上，所有夸克混合角均以$ \ tan的β$表示，并且一个人在极限$β\ rightarrow 0 $中恢复了琐碎的混合。我们还通过采用三种右手中微子的我看到的我看到的型机制来探索Lepton混合的后果。
Models with two-Higgs-doublets and natural flavour conservation contain $\tan β= v_2 / v_1$ as a physical parameter. We offer here a generalization of a recently proposed idea where only the Cabibbo angle, $θ_\text{c} \simeq 0.22$, was related to $\tan β$ by virtue of the $\mathbb{D}_{4}$ dihedral symmetry group. The original proposal consisted of a massless first generation of quarks and no mixing with the third generation. In our case, through the addition of a third Higgs doublet with a small vacuum-expectation-value but very large masses, thus later decoupling, all quarks become massive and quark mixing is fully reproduced. In fact, all quark mixing angles are expressed in terms of $\tan β$ and one recovers trivial mixing in the limit $β\rightarrow 0$. We also explore the consequences in lepton mixing by adopting a type I seesaw mechanism with three heavy right-handed neutrinos.
