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arXiv 1703.04415hep-ph
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关于中微子有效场论中的展开式

On expansions in neutrino effective field theory

Gitte Elgaard-Clausen, Michael Trott

备注：
16 pages + appendix, 3 figures, one nice algebra, V3: minor corrections
发表信息：
J. High Energ. Phys. (2017) 2017: 88
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摘要：

我们将产生中微子质量的跷跷板模型与标准模型有效场论（SMEFT）相匹配。我们在树级进行这种匹配，直到操作符扩展中的第七维。我们解释了如何一些中微子质量矩阵的扰动，由于运营商的质量维度大于5是绑定到整合出重马约拉纳质量本征态的序列。我们证明了跷跷板模型的低能量极限很好地描述了SMEFT，特别是当使用味道空间扩展构建。跷跷板模型的味空间展开是感兴趣的，因为重态与标准模型的耦合是通过味空间矢量$\in \mathbb{C}^3$进行的。我们指出，中微子现象可以系统地发展为周围的未知本征矢量对角化的带电轻子质量矩阵的扰动，使用的事实，这些本征矢量也形成了基础的$\mathbb{C}^3$。这一点在跷跷板模型中成立，也可以应用于中微子质量产生的其他模型，以发展系统的扩展。我们开发了这个味空间的代数，并讨论了一些现象来说明这种方法。

英文摘要：

We match the seesaw model for generating neutrino masses onto the Standard Model Effective Field Theory (SMEFT). We perform this matching at tree level up to dimension seven in the operator expansion. We explain how some of the perturbations of the neutrino mass matrix due to operators of mass dimension greater than five are tied to integrating out the heavy Majorana mass eigenstates in sequence. We demonstrate that the low energy limit of seesaw models are well described by the SMEFT, particularly when constructed using a flavour space expansion. Flavour space expansions of seesaw models are of interest as the coupling of the heavy states to the Standard Model, that are integrated out to generate neutrino masses, are through flavour space vectors $\in \mathbb{C}^3$. We point out that neutrino phenomenology can be systematically developed as a perturbation around the unknown eigenvectors diagonalizing the charged lepton mass matrix using the fact that these eigenvectors also form a basis of $\mathbb{C}^3$. This point holds in seesaw models and can also be applied to other models of neutrino mass generation to develop systematic expansions. We develop the algebra for this flavour space and discuss some phenomenology to illustrate this approach.

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