论文标题
CP违反和风味不变的有效领域理论
CP violation and flavor invariants in the seesaw effective field theory
论文作者
论文摘要
在本文中，我们系统地研究了在SeeSAW有效田间理论（SEFT）中，风味不变的环和CP违规的来源的代数结构，该理论是通过将重的Majorana Neutrinos集成在树级中的繁重的Majorana Neutrinos来获得的，因此包括尺寸尺寸的Weinberg-five Weinberg-fermension-weinberg operention-six-six operations和Onemension-Sixsix Operator。我们第一次计算希尔伯特系列，并明确构建SEFT中的所有主要风味。我们表明，所有物理参数都可以使用主要不变性提取，并且任何CP抗侵入可观察到的可观察到的可观察到CP-ODD风味不变的线性组合。希尔伯特（Hilbert）系列的计算表明，在Seft和完整的Seesaw模型中，有相等数量的主要风味不变，这揭示了Seft的风味空间与其紫外线理论的风味空间之间的紧密联系。在SEFT和完整的Seesaw模型之间，完成了一种风味不变的适当匹配程序，通过该模型，可以通过该模型在瘦素发生中的CP不对称之间建立直接连接，而低能中微子中微子振动中的cp不对称。
In this paper, we systematically study the algebraic structure of the ring of the flavor invariants and the sources of CP violation in the seesaw effective field theory (SEFT), which is obtained by integrating out heavy Majorana neutrinos in the type-I seesaw model at the tree level and thus includes the dimension-five Weinberg operator and one dimension-six operator. For the first time, we calculate the Hilbert series and explicitly construct all the primary flavor invariants in the SEFT. We show that all the physical parameters can be extracted using the primary invariants and any CP-violating observable can be expressed as the linear combination of CP-odd flavor invariants. The calculation of the Hilbert series shows that there is an equal number of primary flavor invariants in the SEFT and in the full seesaw model, which reveals the intimate connection between the flavor space of the SEFT and that of its ultraviolet theory. A proper matching procedure of the flavor invariants is accomplished between the SEFT and the full seesaw model, through which one can establish a direct link between the CP asymmetries in leptogenesis and those in low-energy neutrino oscillations.
