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arXiv 2104.08248hep-ph
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标准模型有效场论中的中微子质量

Neutrino masses in the Standard Model effective field theory

Mikael Chala, Arsenii Titov

摘要:

本文计算了七维标准模型有效场论(SMEFT)中中微子质量矩阵的首对数修正。在可忽略的轻子和下型夸克汤川耦合的限制下,它得到了温伯格五维算符以及11个六维和五维七维独立相互作用的贡献。我们从这一结果中得出的两个主要结论如下。首先,我们发现7维算子,尽管违反轻子数,不重整化中微子质量在一个循环。第二,我们证明了在TeV尺度附近的六维算子的存在可以修改标准模型的预测高达$\mathcal{O}(50\,\%)$。我们的结果也包括一个步骤的重新正规化的SMEFT订购$v^3/Λ^3$。

英文摘要:

We compute the leading-logarithmic correction to the neutrino mass matrix in the Standard Model effective field theory (SMEFT) to dimension seven. In the limit of negligible lepton and down-type quark Yukawa couplings, it receives contributions from the Weinberg dimension-five operator as well as from 11 dimension-six and five dimension-seven independent interactions. Two of the main implications we derive from this result are the following. First, we find dimension-seven operators which, despite violating lepton number, do not renormalise neutrino masses at one loop. And second, we demonstrate that the presence of dimension-six operators around the TeV scale can modify the Standard Model prediction by up to $\mathcal{O}(50\,\%)$. Our result comprises also one step forward towards the renormalisation of the SMEFT to order $v^3/Λ^3$.

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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