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arXiv 2302.08140hep-phhep-ex
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跷跷板有效场论中的完整单圈重整化群方程

Complete One-loop Renormalization-group Equations in the Seesaw Effective Field Theories

Yilin Wang, Di Zhang, Shun Zhou

AI总结:

本文推导了跷跷板有效场论中直到六维算符的完整单圈重整化群方程,修正了Weinberg算符对SMEFT的贡献,并数值求解RGEs以研究非幺正轻子混合参数的跑动行为,建立了单圈水平上研究跷跷板模型低能现象的自洽框架。

摘要:

在本文中,我们推导了跷跷板有效场论(SEFTs)中直到六维(dim-6)算符的完整单圈重整化群方程(RGEs)。我们识别出对这些RGEs的两类贡献:一类来自五维(dim-5)Weinberg算符的双重插入,另一类来自SEFTs中树级六维算符的单次插入。本文给出了若干新结果。首先,由于五维Weinberg算符在标准模型有效场论(SMEFT)中是唯一的,它对SEFTs的RGEs的贡献同样适用于SMEFT。我们找到了Weinberg算符对SMEFT中单圈RGEs的完整贡献,修正了以往工作中的结果,并确认来自六维算符的贡献与文献中的结果一致。其次,在I型SEFT中,我们给出了轻子带电流和中性流相互作用所涉及的所有物理参数的RGEs的显式表达式。第三,我们对RGEs进行了数值求解,以展示非幺正轻子味混合矩阵中的非幺正参数、混合角和CP破坏相位的跑动行为。结合五维和六维算符及其Wilson系数的单圈匹配结果,本工作建立了一个直到六维的自洽框架,用于在单圈水平上研究三类跷跷板模型的低能现象。

英文摘要:

In this paper, we derive the complete set of one-loop renormalization-group equations (RGEs) for the operators up to dimension-six (dim-6) in the seesaw effective field theories (SEFTs). Two kinds of contributions to those RGEs are identified, one from double insertions of the dimension-five (dim-5) Weinberg operator and the other from single insertions of the tree-level dim-6 operators in the SEFTs. A number of new results are presented. First, as the dim-5 Weinberg operator is unique in the standard model effective field theory (SMEFT), its contributions to the RGEs for the SEFTs are equally applicable to the SMEFT. We find the full contributions from the Weinberg operator to one-loop RGEs in the SMEFT, correcting the results existing in previous works, and confirm that those from dim-6 operators are consistent with the results in the literature. Second, in the type-I SEFT, we give the explicit expressions of the RGEs of all the physical parameters involved in the charged- and neutral-current interactions of leptons. Third, the RGEs are numerically solved to illustrate the running behaviors of the non-unitary parameters, mixing angles and CP-violating phases in the non-unitary leptonic flavor mixing matrix. Together with the one-loop matching results of the dim-5 and dim-6 operators and their Wilson coefficients, the present work has established a self-consistent framework up to dim-6 to investigate low-energy phenomena of three types of seesaw models at the one-loop level.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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