论文标题
与无菌中微子延伸的SMEFT中的一环匹配
One-loop matching in the SMEFT extended with a sterile neutrino
论文作者
论文摘要
我们研究了最简单的肾小函数模型的现象学，该模型在低能下导致了以右手中微子（$ν$ smeft）扩展的标准模型的有效现场理论。我们的目标是双重的。首先，要在无菌中微子的模型中进行上下文化新的对撞机签名，迄今仅使用自下而上的方法进行了研究。第二个也是更重要的是，在图解方法中提供了一个单环匹配的详尽示例，其他匹配技术和自动工具可以受益于交叉检查。作为这项工作的副产品，我们首次提供：（i）$ν$ smeft的完整外壳基础和由运动方程式连接的操作员之间的明确关系； （ii）低能量有效场理论（剩下的$ν$）和$ν$ smeft的树级匹配的完整基础； （iii）剩下的$ν$中的部分单环异常尺寸。这样，我们的工作构成了有效领域理论中单循环计算系统化的新一步，尤其是在SM中微子是狄拉克的情况下。
We study the phenomenology of the simplest renormalisable model that, at low energy, leads to the effective field theory of the Standard Model extended with right-handed neutrinos ($ν$SMEFT). Our aim is twofold. First, to contextualise new collider signatures in models with sterile neutrinos so far studied only using the bottom-up approach. And second and more important, to provide a thorough example of one-loop matching in the diagrammatic approach, of which other matching techniques and automatic tools can benefit for cross-checks. As byproducts of this work, we provide for the first time: (i) a complete off-shell basis for the $ν$SMEFT and explicit relations between operators linked by equations of motion; (ii) a complete basis for the low-energy effective field theory ($ν$LEFT) and the tree-level matching onto the $ν$SMEFT; (iii) partial one-loop anomalous dimensions in the $ν$LEFT. This way, our work comprises a new step forward towards the systematisation of one-loop computations in effective field theories, especially if the SM neutrinos are Dirac.
