论文标题
短距离HLBL对MUON异常磁矩的贡献超出了扰动理论
Short-distance HLbL contributions to the muon anomalous magnetic moment beyond perturbation theory
论文作者
论文摘要
对MUON异常磁矩的宽带轻度贡献取决于四个电磁电流的相关器的三个外壳平方（$ q_i^2 $）的整合，而在零动量处的第四条腿。我们将该相关器的短途扩展得出在限制中，其中所有三个$ q_i^2 $都大，并且在QCD中的欧几里得域中。这是通过我们构建的背景字段中的系统运算符产品扩展（OPE）完成的。扩展中的领先订单项是无数夸克环。我们还计算了近代领导贡献的非扰动部分，该部分被夸克群体抑制，以及对OPE的临近临时贡献的手性限制部分。我们为OPE构建了重量法化计划。估计高阶贡献的数值作用，发现很小。
The hadronic light-by-light contribution to the muon anomalous magnetic moment depends on an integration over three off-shell momenta squared ($Q_i^2$) of the correlator of four electromagnetic currents and the fourth leg at zero momentum. We derive the short-distance expansion of this correlator in the limit where all three $Q_i^2$ are large and in the Euclidean domain in QCD. This is done via a systematic operator product expansion (OPE) in a background field which we construct. The leading order term in the expansion is the massless quark loop. We also compute the non-perturbative part of the next-to-leading contribution, which is suppressed by quark masses, and the chiral limit part of the next-to-next-to leading contributions to the OPE. We build a renormalisation program for the OPE. The numerical role of the higher-order contributions is estimated and found to be small.
