Revised and Improved value of the QED tenth-order electron anomalous magnetic moment
Revised and Improved value of the QED tenth-order electron anomalous magnetic moment
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DOI：
10.1103/physrevd.97.036001
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发表时间：
2018-02-08
影响因子：
5
通讯作者：
Nio, Makiko
中科院分区：
文献类型：
--
作者：
Aoyama, Tatsumi;Kinoshita, Toichiro;Nio, Makiko
为了改进电子反常磁矩a（e）的理论预测，我们对集合V的389个积分进行了新的数值计算，这些积分代表了6，354个没有轻子环的费曼顶点图。在这项工作中，我们发现其中一个积分，称为X 024，在以前的计算中由于积分变量的分配不正确而给出了错误的值。该误差的校正导致对集合V贡献的-1.26的移位，并且因此导致对十阶泛函数的移位（即，质量无关）项A（1）（（10））。所有其他388个积分的先前评估没有错误，并且与新的评估一致。结合新的和旧的（不包括X 024）计算统计，我们得到7.606（192）（alpha/pi）（5）作为集合V贡献的最佳估计。包括费米子环图的贡献，改进的十阶普适项为A（1）（（10））= 6.675（192）。将强子和电弱贡献相加，得到理论预言a（e）= 1159652182.032（720）x 10（-12）。从这个和a（e）的最佳测量，我们得到逆精细结构常数alpha（-1）（a（e））= 137.0359991491（331）。μ子反常磁矩的理论预测也受到QED贡献的更新和α新值的影响，但偏移量远小于理论不确定度。
In order to improve the theoretical prediction of the electron anomalous magnetic moment a(e) we have carried out a new numerical evaluation of the 389 integrals of Set V, which represent 6,354 Feynman vertex diagrams without lepton loops. During this work, we found that one of the integrals, called X024, was given a wrong value in the previous calculation due to an incorrect assignment of integration variables. The correction of this error causes a shift of -1.26 to the Set V contribution, and hence to the tenth-order universal (i.e., mass-independent) term A(1)((10)). The previous evaluation of all other 388 integrals is free from errors and consistent with the new evaluation. Combining the new and the old (excluding X024) calculations statistically, we obtain 7.606(192)(alpha/pi)(5) as the best estimate of the Set V contribution. Including the contribution of the diagrams with fermion loops, the improved tenth-order universal term becomes A(1)((10)) = 6.675(192). Adding hadronic and electroweak contributions leads to the theoretical prediction a(e)(theory) = 1159652182.032(720) x 10(-12). From this and the best measurement of a(e), we obtain the inverse fine-structure constant alpha(-1)(a(e)) = 137.0359991491(331). The theoretical prediction of the muon anomalous magnetic moment is also affected by the update of QED contribution and the new value of alpha, but the shift is much smaller than the theoretical uncertainty.