论文标题
纵向短距离限制对Muon $ G-2 $逐光贡献的影响
Effects of Longitudinal Short-Distance Constraints on the Hadronic Light-by-Light Contribution to the Muon $g-2$
论文作者
论文摘要
我们提出了一种独立于模型的方法，用于估计短途约束（SDC）对hAdronic轻度光的贡献对MUON异常磁矩$a_μ^\ text {hlbl} $的影响。使用多参数插值函数的多参数家族评估相关的循环积分，该函数通过构造所有约束来满足从一般原理得出的所有约束，并将低能分子区域与两个或所有三个独立光子虚拟的虚拟物变得较大。与其他基于模型的分析一致，我们发现SDC以及负责使它们饱和的重中间状态的无限塔对$A_μ^\ text {hlbl} $的影响很小。作为输入已知的地面伪尺寸杆的贡献，我们可以获得纵向SDCS增加$A_μ^\ text {hlbl} $ by $（9.1 \ pm 5.0）\ times 10^{ - 11} $，其中ISOVECTOR频道负责$（2.6 \ pm 1.5 \ pm 1.5 \ pm 1.5）\ 1.5）\ 1.5）可以使用我们的方法获得更精确的估计，因为有关来自宽带质量的重要低能贡献的进一步准确的，独立的依赖模型的信息，其质量最高为1-2 GEV。
We present a model-independent method to estimate the effects of short-distance constraints (SDCs) on the hadronic light-by-light contribution to the muon anomalous magnetic moment $a_μ^\text{HLbL}$. The relevant loop integral is evaluated using multi-parameter families of interpolation functions, which satisfy by construction all constraints derived from general principles and smoothly connect the low-energy region with those where either two or all three independent photon virtualities become large. In agreement with other recent model-based analyses, we find that the SDCs and thus the infinite towers of heavy intermediate states that are responsible for saturating them have a rather small effect on $a_μ^\text{HLbL}$. Taking as input the known ground-state pseudoscalar pole contributions, we obtain that the longitudinal SDCs increase $a_μ^\text{HLbL}$ by $(9.1\pm 5.0) \times 10^{-11}$, where the isovector channel is responsible for $(2.6\pm 1.5) \times 10^{-11}$. More precise estimates can be obtained with our method as soon as further accurate, model-independent information about important low-energy contributions from hadronic states with masses up to 1-2 GeV become available.
