论文标题
2HDM的完全基础对称图
A fully basis invariant Symmetry Map of the 2HDM
论文作者
论文摘要
我们为最通用的两个Higgs Doublet模型（2HDM）标量的所有全局对称性提供了必要和充分的条件，完全在重新分析的独立性（即基础不变）的对象方面。这最终在我们所谓的模型参数空间的“对称映射”中以及通常存在两个代数上不同的方式来表明对称对称的对称对象的表现：基于不变的对象可以是非态度的，或者是非态度的，或者是基于基础的对象。这两个选项对基础不变的环的结果结构以及剩余的物理参数的数量有不同的后果。在旁边，我们首先在2HDM中首次获得了CP保存的必要条件，这完全是在CP-even的数量方面得出的。这项研究奠定了在所有具有非物理自由度自由度的模型中对全球对称性进行类似研究的方法论基础，最著名的是标准模型风味部门。
We derive necessary and sufficient conditions for all global symmetries of the most general two Higgs doublet model (2HDM) scalar potential entirely in terms of reparametrization independent, i.e. basis invariant, objects. This culminates in what we call a "Symmetry Map" of the parameter space of the model and the fundamental insight that there are, in general, two algebraically distinct ways of how symmetries manifest themselves on basis invariant objects: either, basis invariant objects can be non-trivially related, or, basis covariant objects can vanish. These two options have different consequences on the resulting structure of the ring of basis invariants and on the number of remaining physical parameters. Alongside, we derive for the first time necessary and sufficient conditions for CP conservation in the 2HDM entirely in terms of CP-even quantities. This study lays the methodological foundation for analogous investigations of global symmetries in all other models that have unphysical freedom of reparametrization, most notably the Standard Model flavor sector.
