论文标题
复合物2HDM的基础独立处理
Basis-independent treatment of the complex 2HDM
论文作者
论文摘要
复杂的2HDM（C2HDM）是最通用的CP竞争，具有柔和破碎的$ \ mathbb {z} _2 $对称性。但是，模型的物理后果不能取决于用于定义其定义的标量字段的基础。因此，为了更好地了解C2HDM参数的重要性，我们通过采用独立的形式主义来分析该模型。这种形式主义涉及转换为希格斯基础（定义为任意复杂阶段），并确定相对于此阶段自由度不变的数量。使用此方法，我们获得了强制执行柔和破碎的$ \ mathbb {z} _2 $对称的约束。然后，可以将C2HDM参数与基础独立数量相关联，直至两倍的歧义。然后，我们展示了如何解决这种剩余的歧义。当C2HDM的标量潜力明确地具有CP的稳定性时，我们还研究了自发违反CP的可能性。提出了与基础无关的约束，该约束控制了自发违反CP的存在。
The complex 2HDM (C2HDM) is the most general CP-violating two Higgs doublet model that possesses a softly-broken $\mathbb{Z}_2$ symmetry. However, the physical consequences of the model cannot depend on the basis of scalar fields used to define it. Thus, to get a better sense of the significance of the C2HDM parameters, we have analyzed this model by employing a basis-independent formalism. This formalism involves transforming to the Higgs basis (which is defined up to an arbitrary complex phase) and identifying quantities that are invariant with respect to this phase degree of freedom. Using this method, we have obtained the constraints that enforce the softly-broken $\mathbb{Z}_2$ symmetry. One can then relate the C2HDM parameters to basis-independent quantities up to a two-fold ambiguity. We then show how this remaining ambiguity is resolved. We also examine the possibility of spontaneous CP violation when the scalar potential of the C2HDM is explicitly CP-conserving. Basis-independent constraints are presented that govern the presence of spontaneous CP violation.
