μ子和电子g-2以及质子和铯弱电荷对暗$\mathbf{Z_d}$模型的影响
Muon and electron g-2 and proton and cesium weak charges implications on dark $\mathbf{Z_d}$ models
摘要：
超出标准模型的理论，涉及一个亚GeV尺度的矢量$Z_d$调解人已被大量研究作为一个可能的解释的实验值的μ子和电子异常磁矩。最近在费米实验室进行的异常μ子磁矩的测定的动机，我们得到这样一个模型的约束条件，从磁矩测定和测量的质子和铯弱电荷，$Q_W$，在低能量转移。为了做到这一点，我们重新审视的铯$Q_W$的原子宇称破坏实验，这严重依赖于平均中子均方根半径的值$^{133}\text{Cs}$，通过确定后者从一个几乎模型独立的外推从最近的平均中子均方根半径$^{208}\text{Pb}$的PREX-2合作。从所有上述实验结果的组合拟合，我们得到相当精确的限制的质量和动力学混合参数的$Z_d$玻色子，即$m_{Z_d} = 47{}^{+61}_{-16} \, \mathrm{MeV}$和$\varepsilon = 2.3{}^{+1.1}_{-0.4} \times 10^{-3}$，边缘化时，超过$Z-Z_d$质量混合参数$δ$。
英文摘要：
Theories beyond the standard model involving a sub-GeV-scale vector $Z_d$ mediator have been largely studied as a possible explanation of the experimental values of the muon and electron anomalous magnetic moments. Motivated by the recent determination of the anomalous muon magnetic moment performed at Fermilab, we derive the constraints on such a model obtained from the magnetic moment determinations and the measurements of the proton and cesium weak charge, $Q_W$, performed at low-energy transfer. In order to do so, we revisit the determination of the cesium $Q_W$ from the atomic parity violation experiment, which depends critically on the value of the average neutron rms radius of $^{133}\text{Cs}$, by determining the latter from a practically model-independent extrapolation from the recent average neutron rms radius of $^{208}\text{Pb}$ performed by the PREX-2 Collaboration. From a combined fit of all the aforementioned experimental results, we obtain rather precise limits on the mass and the kinetic mixing parameter of the $Z_d$ boson, namely $m_{Z_d} = 47{}^{+61}_{-16} \, \mathrm{MeV}$ and $\varepsilon = 2.3{}^{+1.1}_{-0.4} \times 10^{-3}$, when marginalizing over the $Z-Z_d$ mass mixing parameter $δ$.
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