标题： 引导领先的强子μ子异常 显示英文标题

标题： Bootstrapping leading hadronic muon anomaly

摘要： 我们从头开始计算μ子异常磁矩的领头阶强子贡献。 领头阶强子贡献来源于强子真空极化函数（HVP）。 我们探讨了量子色动力学（QCD）中的自举约束条件，即幺正性、解析性、 crossing 对称性和有限能量求和规则（FESR）。 幺正性表现为π介子部分波、形式因子和HVP的谱密度函数之间的半正定条件，这为μ子异常磁矩的领头阶强子贡献设定了一个下限。 我们还引入了手征对称破缺以略微改善这个界限。 通过结合这个下限与其余广泛计算的贡献，我们得到了μ子异常磁矩的一个界限， $a_\mu^\text{bootstrap-min}=11659176.3^{+3}_{-3}\times 10^{-10}$，并且标准模型预测在这个界限内误差范围内饱和。 我们还提出了一种可能的改进方法，该方法在误差范围内由格点计算和测量值同时饱和。 显示英文摘要

摘要： We bootstrap the leading order hadronic contribution to muon anomalous magnetic moment. The leading hadronic contribution comes from the hadronic vacuum polarization function (HVP). We explore the bootstrap constraints, namely unitarity, analyticity, crossing symmetry and finite energy sum rules (FESR) from quantum chromodynamics (QCD). The unitarity appears as a positive semi-definite condition among the pion partial waves, form factor and spectral density function of HVP, which establishes a lower bound on leading order hadronic contribution to muon anomalous magnetic moment. We also impose chiral symmetry breaking to improve the bound slightly. By combining the lower bound with the remaining extensively calculated contributions, we achieve a bound on anomalous magnetic moment $a_\mu^\text{bootstrap-min}=11659176.3^{+3}_{-3}\times 10^{-10}$ and standard model prediction saturates this bound within the error bars. We also present a possible improvement that is saturated by both lattice computation and measured value within the error bars.