在框架标准模型中解释三个低尺度异常（g-2、Lamb位移和Atomki）
Accommodating three low-scale anomalies (g-2, Lamb shift, and Atomki) in the framed standard model
摘要：
框架标准模型（FSM）预测了在“隐藏扇区”中质量约为20 MeV的$0^+$玻色子，它与标准Higgs $h_W$在树水平上混合，因此获得了与夸克和轻子的小耦合，除了混合参数$ρ_{Uh}$外，这些耦合可以在FSM中计算。这种混合态$U$的交换将有助于$g - 2$和兰姆位移。通过单独调整$ρ_{Uh}$，发现FSM能满足所有现有的实验上的$g - 2$和兰姆位移异常的$μ$和$e$，以及后者对氢和氘. FSM还预测在“隐藏扇区”中有一个质量为17 MeV的$1^-$玻色子，也就是说，就在原子核异常$X$的顶部。这与光子在单圈水平上混合，从而像暗光子一样耦合到夸克和轻子。然而，它是一种复合态，并且被认为可能具有与强子的额外复合耦合。通过调节混合参数和$X$与核子的复合耦合，有限状态机可以再现铍衰变中$X$的产生率，并且满足文献中所列出的所有关于$X$的边界。上述两个结果是一致的，因为$U$是$0^+$，如果宇称和角动量守恒，它对Atomki反常没有贡献，而$X$虽然对$g - 2$和兰姆位移有贡献，但它的耦合比$U$小，在第一种情况下可以忽略。尽管实验中的3个反常和作为理论的有限状态机都是暂时性的，但前者在后者中的适应性加强了两者的可信度。如果这种有限状态机的解释是正确的，它将把异常现象的整个方面从好奇心变成一扇窗户，进入一个迄今为止隐藏的巨大扇区，其中至少部分包括构成我们宇宙大部分的暗物质。
英文摘要：
The framed standard model (FSM) predicts a $0^+$ boson with mass around 20 MeV in the "hidden sector", which mixes at tree level with the standard Higgs $h_W$ and hence acquires small couplings to quarks and leptons which can be calculated in the FSM apart from the mixing parameter $ρ_{Uh}$. The exchange of this mixed state $U$ will contribute to $g - 2$ and to the Lamb shift. By adjusting $ρ_{Uh}$ alone, it is found that the FSM can satisfy all present experimental bounds on the $g - 2$ and Lamb shift anomalies for $μ$ and $e$, and for the latter for both hydrogen and deuterium. The FSM predicts also a $1^-$ boson in the "hidden sector" with a mass of 17 MeV, that is, right on top of the Atomki anomaly $X$. This mixes with the photon at 1-loop level and couples thereby like a dark photon to quarks and leptons. It is however a compound state and is thought likely to possess additional compound couplings to hadrons. By adjusting the mixing parameter and the $X$'s compound coupling to nucleons, the FSM can reproduce the production rate of the $X$ in beryllium decay as well as satisfy all the bounds on $X$ listed so far in the literature. The above two results are consistent in that the $U$, being $0^+$, does not contribute to the Atomki anomaly if parity and angular momentum are conserved, while $X$, though contributing to $g - 2$ and Lamb shift, has smaller couplings than $U$ and can, at first instance, be neglected there. Despite the tentative nature of the 3 anomalies in experiment and of the FSM as theory, the accommodation of the former in the latter has strengthened the credibility of both. If this FSM interpretation were correct, it would change the whole aspect of the anomalies from just curiosities to windows into a vast hitherto hidden sector comprising at least in part the dark matter which makes up the bulk of our universe.
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