We present the first detailed phenomenological analysis of a radiative Majorana neutrino mass model constructed from opening up a ∆ L = 2 mass-dimension-11 effective operator constructed out of standard model fields. While three such operators are generated, only one dominates neutrino mass generation, namely O 47 = L C ¯ L Q C ¯ L Q ¯ Q C HH , $$ {O}_{47}=\overline{L^C}L\overline{Q^C}L\overline{Q}{Q}^C HH, $$ where L denotes lepton doublet, Q quark doublet and H Higgs doublet. The under- lying renormalisable theory contains the scalars S 1 ∼ 3 ¯ 1 1 / 3 $$ {S}_1\sim \left(\overline{3},1,1/3\right) $$ coupling as a diquark, S 3 ∼ 3 ¯ 3 1 / 3 $$ {S}_3\sim \left(\overline{3},3,1/3\right) $$ coupling as a leptoquark, and Φ 3 ∼ (3, 3, 2/3), which has no Yukawa couplings but does couple to S 1 and S 3 in addition to the gauge fields. Neutrino masses and mixings are generated at two-loop order. A feature of this model that is different from many other radiative models is the lack of proportionality to any quark and charged- lepton masses of the neutrino mass matrix. One consequence is that the scale of new physics can be as high as 10 7 TeV, despite the operator having a high mass dimension. This raises the prospect that ∆ L = 2 effective operators at even higher mass dimensions may, when opened up, produce phenomenologically-viable radiative neutrino mass models. The parameter space of the model is explored through benchmark slices that are subject to experimental constraints from charged lepton flavour-violating decays, rare meson de- cays and neutral-meson mixing. The acceptable parameter space can accommodate the anomalies in R K ( ∗ ) and the anomalous magnetic moment of the muon.

中文翻译：

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质量维数为 11 ∆L = 2 有效算子的辐射中微子质量模型

我们首次对辐射马约拉纳中微子质量模型进行了详细的现象学分析，该模型是通过打开由标准模型场构建的 ∆ L = 2 mass-dimension-11 有效算子而构建的。虽然产生了三个这样的算子，但只有一个主导中微子质量的产生，即 O 47 = LC ¯ LQC ¯ LQ ¯ QC HH , $$ {O}_{47}=\overline{L^C}L\overline{Q^ C}L\overline{Q}{Q}^C HH, $$ 其中 L 表示轻子双峰、Q 夸克双峰和 H 希格斯双峰。潜在的可重整化理论包含标量 S 1 ∼ 3¯ 1 1 / 3 $$ {S}_1\sim \left(\overline{3},1,1/3\right) $$ 耦合为迪夸克， S 3 ∼ 3 ¯ 3 1 / 3 $$ {S}_3\sim \left(\overline{3},3,1/3\right) $$ 耦合为轻夸克，和 Φ 3 ∼ (3, 3, 2/3)，它没有汤川耦合，但除了规范场之外，还耦合到 S 1 和 S 3。中微子质量和混合以两个循环顺序生成。该模型与许多其他辐射模型不同的一个特点是，它与中微子质量矩阵的任何夸克和带电轻子质量均不成比例。一个结果是，尽管算子具有很高的质量维度，但新物理的规模可以高达 10 7 TeV。这提出了这样一种前景，即 ∆ L = 2 在更高质量维度上的有效算子，当打开时，可能会产生现象学上可行的辐射中微子质量模型。该模型的参数空间是通过基准切片探索的，这些切片受到来自带电轻子风味违反衰变、稀有介子衰变和中性介子混合的实验约束。