We identify the two scalar leptoquarks capable of generating sign-dependent contributions to leptonic magnetic moments, $R_2\sim (3,2,7/6)$ and $S_1\sim (3,1,-1/3)$, as favoured by current measurements. We consider the case in which the electron and muon sectors are decoupled, and real-valued Yukawa couplings are specified using an up-type quark mass-diagonal basis. Contributions to $\Delta a_e$ arise from charm-containing loops and $\Delta a_{\mu }$ from top-containing loops – hence avoiding dangerous LFV constraints, particularly from $\mu \to e\gamma$. The strongest constraints on these models arise from contributions to the Z leptonic decay widths, high-$p_T$ leptonic tails at the LHC, and from (semi)leptonic kaon decays. To be a comprehensive solution to the $(g-2{)}_{e/\mu }$ puzzle we find that the mass of either leptoquark must be $\lesssim 65$ TeV. This analysis can be embedded within broader flavour anomaly studies, including those of hierarchical leptoquark coupling structures. It can also be straightforwardly adapted to accommodate future measurements of leptonic magnetic moments, such as those expected from the Muon $g-2$ collaboration in the near future.

中文翻译：

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获得正确的手性：（g-2）e，μpuzzle的单标量le夸克解

我们确定了两个标量幼体夸克，它们能够对轻子磁矩产生符号依赖性的贡献， ${\mathrm{[R}}_2〜（3，2，7/6）$ 和 ${\mathrm{小号}}_{\mathrm{1个}}〜（3，\mathrm{1个}，-\mathrm{1个}/3）$，受到当前测量的青睐。我们考虑电子和介子扇形解耦的情况，并使用上型夸克质对角线指定实值Yukawa耦合。对...的贡献$\Delta {\mathrm{一种}}_{Ë}$ 来自包含魅力的循环和 $\Delta {\mathrm{一种}}_{\mu }$ 来自顶部循环的循环–因此避免了危险的LFV约束，尤其是来自 $\mu \to Ë\gamma$。这些模型的最强约束来自Z轻子衰变宽度，$p_{Ť}$大型强子对撞机的轻子尾巴，以及（半）轻子kaon的衰变。全面解决$（G-2{）}_{Ë/\mu }$ 迷惑，我们发现任何一个le夸克的质量都必须是 $\lesssim \mathrm{65岁}$TeV。该分析可以嵌入到更广泛的风味异常研究中，包括分层的le夸克耦合结构。它也可以直接调整以适应未来对轻子磁矩的测量，例如Muon所期望的$G-2$ 在不久的将来进行合作。