arXiv 1012.01932010-12-01hep-phnucl-th

从Dyson-Schwinger观点看强子对μ子g-2的贡献

Hadronic contribution to the muon g-2 from a Dyson-Schwinger perspective

Tobias Goecke, Christian S. Fischer, Richard Williams

备注：: 3 pages, 5 figures; Contribution to the proceedings of `Quark Confinement And The Hadron Spectrum IX', Madrid, Sept. 2010
DOI：: 10.1063/1.3575087

摘要：

提出了一种新的研究强子对μ子$a_μ$反常磁矩贡献的方法，即QCD的Dyson-Schwinger方程。它的优点是对所有动量尺度都有效，并有可能解决离壳振幅。我们提出了我们的第一个结果的赝标（PS）介子交换和夸克圈的贡献。介子交换（$π^0, η, η'$），$a_μ^{\textrm{LBL;PS}}=(84 \pm 13)\times 10^{-11}$，与以前的计算是相称的，而夸克环的贡献$a_μ^{\textrm{LBL;quarkloop}} = (107 \pm 48)\times 10^{-11}$，强烈增强的夸克光子顶点的顶点修整效应。认真考虑这一点会导致对$a_μ=116\,591\,865.0(96.6)\times 10^{-11}$的估计，给出理论和实验之间的1.9 $σ$偏差。

英文摘要：

A novel approach towards the hadronic contributions to the anomalous magnetic moment of the muon $a_μ$ is presented, namely the Dyson-Schwinger equations of QCD. It has the advantage of being valid for all momentum scales and has the potential to address off-shell amplitudes. We present our first results for the pseudoscalar (PS) meson exchange and the quark loop contributions. The meson exchange ($π^0, η, η'$), $a_μ^{\textrm{LBL;PS}}=(84 \pm 13)\times 10^{-11}$, is commensurate with previous calculations, while the quark loop contribution $a_μ^{\textrm{LBL;quarkloop}} = (107 \pm 48)\times 10^{-11}$, is strongly enhanced by vertex dressing effects in the quark photon vertex. Taken seriously this leads to the estimate of $a_μ=116\,591\,865.0(96.6)\times 10^{-11}$, giving a 1.9 $σ$ deviation between theory and experiment.

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