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arXiv 2001.07732hep-ph
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用无菌中微子扩展的SMEFT中的单圈匹配

One-loop matching in the SMEFT extended with a sterile neutrino

Mikael Chala, Arsenii Titov

备注：
36 pages, 11 figures, 4 tables; Appendix C on matching renormalisable terms with four new figures added; Tab. 4 containing all $ν$LEFT dimension-six lepton number violating operators involving a sterile neutrino added; Fig. 6 in v1 and the corresponding discussion removed; several comments and references added; typos corrected; matches version published in JHEP
发表信息：
JHEP 05 (2020) 139
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摘要：

我们研究了最简单的可重整模型的现象学，在低能量下，导致了右手中微子扩展的标准模型的有效场论（$ν$ SMEFT）。我们的目标是双重的。首先，将新的对撞机签名放在迄今为止只使用自下而上方法研究的无菌中微子模型中。第二，也是更重要的一点，提供一个图表方法中的单循环匹配的完整示例，其他匹配技术和自动工具可以从中受益。作为这项工作的副产品，我们提供了第一次：（一）一个完整的离壳基础的$ν$ SMEFT和明确的运营商之间的关系联系的运动方程;（二）一个完整的基础，为低能量有效场论（$ν$左）和树级匹配到$ν$ SMEFT;（三）部分单圈异常尺寸的$ν$左。这样，我们的工作包括一个新的一步走向系统化的单圈计算的有效场论，特别是如果SM中微子狄拉克。

英文摘要：

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.

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