论文标题
部分可观测时空混沌系统的无模型预测
Unitarity Bounds on the Massive Spin-2 Particle Explanation of Muon $g-2$ Anomaly
论文作者
论文摘要
由标准模型预测与MUON磁偶极矩的实验测量之间的长期差异的动机，我们最近建议用新的大型Spin-2 Field $ G $引起的环路效应来解释此MUON $ G-2 $异常。在本文中，我们研究了这种情况下的单位性界限。我们计算了$ s $波的预计幅度，用于在所有可能的初始和最终螺旋状态下，由$ g $在高能量的$ g $介导的两体弹性散射和光子上。通过施加扰动单位性的状况，我们获得了对带电的lepton- $ g $和photon-$ g $耦合的分析约束。然后，我们应用结果来限制与Muon $ G-2 $异常的解释相关的参数空间。
Motivated by the long-standing discrepancy between the Standard Model prediction and the experimental measurement of the muon magnetic dipole moment, we have recently proposed to interpret this muon $g-2$ anomaly in terms of the loop effect induced by a new massive spin-2 field $G$. In the present paper, we investigate the unitarity bounds on this scenario. We calculate the $s$-wave projected amplitudes for two-body elastic scatterings of charged leptons and photons mediated by $G$ at high energies for all possible initial and final helicity states. By imposing the condition of the perturbative unitarity, we obtain the analytic constraints on the charged-lepton-$G$ and photon-$G$ couplings. We then apply our results to constrain the parameter space relevant to the explanation of the muon $g-2$ anomaly.
