发条引力子对μ子$g-2$的贡献
Clockwork graviton contributions to muon $g-2$
摘要：
引力的发条机制引入了一个大质量引力子模式的塔，“发条引力子”，具有非常压缩的质量谱，其相互作用强度比无质量引力子强得多。本文在具有五维普朗克质量的额外维模型$M_5$中，计算了发条引力子对μ子反常磁矩$g-2$的最低阶贡献.我们发现，总的贡献是相当不敏感的详细的模型参数，并确定主要由值的$M_5$。为了解释目前的μ子$g-2$异常，$M_5$应该在$0.2~{\rm TeV}$周围，额外维度的大小必须相当大，$l_5 \gtrsim 10^{-7}\,$ m。对于$M_5\gtrsim1~{\rm TeV}$，时钟引力子的贡献太小，无法解释当前的μ子$g-2$异常。我们还比较了发条引力子的贡献与其他额外的维模型，如兰德尔Sundrum模型或大额外维模型。我们发现，在小曲率极限的领导的贡献是普遍的，但截止无关的subleading的贡献不同的背景几何和钟表几何给出了最小的subleading的贡献。
英文摘要：
The clockwork mechanism for gravity introduces a tower of massive graviton modes, "clockwork gravitons," with a very compressed mass spectrum, whose interaction strengths are much stronger than that of massless gravitons. In this work, we compute the lowest order contributions of the clockwork gravitons to the anomalous magnetic moment, $g-2$, of muon in the context of extra dimensional model with a five dimensional Planck mass, $M_5$. We find that the total contributions are rather insensitive to the detailed model parameters, and determined mostly by the value of $M_5$. In order to account for the current muon $g-2$ anomaly, $M_5$ should be around $0.2~{\rm TeV}$, and the size of the extra dimension has to be quite large, $l_5 \gtrsim 10^{-7}\,$m. For $M_5\gtrsim1~{\rm TeV}$, the clockwork graviton contributions are too small to explain the current muon $g-2$ anomaly. We also compare the clockwork graviton contributions with other extra dimension models such as Randall-Sundrum models or large extra dimension models. We find that the leading contributions in the small curvature limit are universal, but the cutoff-independent subleading contributions vary for different background geometries and the clockwork geometry gives the smallest subleading contributions.
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