Predictions for g-2 of the muon and alpha_QED(M_Z^2)

Predictions for g-2 of the muon and alpha_QED(M_Z^2)
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μ 子的 g-2 和 alpha_QED(M_Z^2) 的预测

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发表时间:
2003
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通讯作者:
T. Teubner
T. Teubner
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作者:
K. Hagiwara;Alan D. Martin;D. Nomura;T. Teubner

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通过改进对强子真空极化贡献及其不确定性的测定,我们计算了μ子的(g-2)和QED耦合α(M_Z^2)。我们包括了最近重新分析的CMD-2关于e^+e^- -> pi^+ pi^-的数据。我们仔细地将各种各样的强子e^+e^-产生的数据联合收割机组合起来,得到了R(s)= sigma_had^0(s)/sigma_pt(s)的最佳形式及其不确定性。我们的结果表明μ子对g-2的强子贡献为a_mu^(had,LO)=(692.4 +- 5.9_exp +- 2.4_rad)* 10^(-10)和a_mu^(had,NLO)=(-9.8 +- 0.1_exp +- 0.0_rad)* 10^(-10),而对于QED耦合Δ α ^(5)_had(M_Z^2)=(275.5 +- 1.9_exp +- 1.3_rad)* 10^(-4)。由此得出(g-2)/2 = 0.00116591763(74),比目前世界平均测量值低约2.4 σ,α(M_Z^2)^(-1)= 128.954 +-0.031。我们将我们的(g-2)值与其他预测进行比较,特别是与Davier等人最新确定的(g-2)值进行详细比较。
We calculate (g-2) of the muon and the QED coupling alpha(M_Z^2), by improving the determination of the hadronic vacuum polarization contributions and their uncertainties. We include the recently re-analysed CMD-2 data on e^+e^- -> pi^+ pi^-. We carefully combine a wide variety of data for the e^+e^- production of hadrons, and obtain the optimum form of R(s) = sigma_had^0(s)/sigma_pt(s), together with its uncertainty. Our results for the hadronic contributions to g-2 of the muon are a_mu^(had, LO) = (692.4 +- 5.9_exp +- 2.4_rad) * 10^(-10) and a_mu^(had, NLO) = (-9.8 +- 0.1_exp +- 0.0_rad) * 10^(-10), and for the QED coupling Delta alpha^(5)_had (M_Z^2)= (275.5 +- 1.9_exp +- 1.3_rad) * 10^(-4). These yield (g-2)/2 = 0.00116591763(74), which is about 2.4 sigma below the present world average measurement, and alpha(M_Z^2)^(-1) = 128.954 +- 0.031. We compare our (g-2) value with other predictions and, in particular, make a detailed comparison with the latest determination of (g-2) by Davier et al.