论文标题
重建有效的Lagrangians嵌入残留家庭对称性
Reconstructing Effective Lagrangians Embedding Residual Family Symmetries
论文作者
论文摘要
我们考虑有效的拉格朗日人，在电动和家庭对称性破裂之后，产生了效率的质量矩阵和/或其他具有残留家庭对称性（RFS）的风味耦合。从自下而上，这些RF紧密地将紫外线（UV）超出标准模型（BSM）物理学连接到红外风味现象学，而无需直接参考任何（可能不可抗衡的）紫外线动力学。虽然该讨论通常是在RFS组发电机及其可以关闭的UV风味组的水平上进行的，但我们现在还专注于低能质量/耦合矩阵的RFS形状。然后，我们展示如何将这些信息用于算法指导有效的Lagrangian的重建，从而形成自上而下的模型，以实现典型的自下而上的现象学结论。作为第一个应用程序，我们从单独使用SM中控制（通过其RFS）CKM或PMN混合的有限组的扫描结果取结果。然后，我们将其扩展到最近研究的场景，其中RF还控制着链球耦合的特殊模式，从而为这种“简化的lepto leptoquarks”提供了原则上的完善。
We consider effective Lagrangians which, after electroweak- and family-symmetry breaking, yield fermionic mass matrices and/or other flavoured couplings exhibiting residual family symmetries (RFS). Thinking from the bottom up, these RFS intimately link ultraviolet (UV) Beyond-the-Standard Model (BSM) physics to infrared flavour phenomenology without direct reference to any (potentially unfalsifiable) UV dynamics. While this discussion is typically performed at the level of RFS group generators and the UV flavour groups they can close, we now also focus on the RFS-implied shape of the low-energy mass/coupling matrices. We then show how this information can be used to algorithmically guide the reconstruction of an effective Lagrangian, thereby forming top-down models realizing the typical bottom-up phenomenological conclusions. As a first application we take results from scans of finite groups capable of controlling (through their RFS) CKM or PMNS mixing within the SM alone. We then extend this to recently studied scenarios where RFS also control special patterns of leptoquark couplings, thus providing proof-in-principle completions for such `Simplified Models of Flavourful Leptoquarks.'
