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arXiv · 1009.5297

A fresh look at hadronic light-by-light scattering in the muon g-2 with the Dyson-Schwinger approach

Christian S. Fischer·Tobias Goecke·Richard Williams
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Abstract

We present first results for the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon a_μ in the framework of Dyson-Schwinger and Bethe-Salpeter equations. We determine the quark loop and pseudoscalar (π^0, η, η') meson exchange diagram using a phenomenological model for the combined strength of the gluon propagator and the quark-gluon interaction as the only input. Our result for meson exchange, a_μ^{LBL;PS}=(84 \pm 13) x 10^{-11}, is commensurate with previous calculations. However, our number for the quark loop contribution, a_μ^{LBL;quarkloop} = (107 \pm 2 \pm 46) x 10^{-11}, is significantly larger due to dressing effects in the quark propagator and the quark-photon vertex. Taken at face value, this then leads to a revised estimate of the total a_μ=116 591 865.0(96.6) x 10^{-11}, which reduces the difference between theory and experiment to about 1.9 σ.

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Christian S. Fischer, Tobias Goecke, Richard Williams. 2011-02-04. A fresh look at hadronic light-by-light scattering in the muon g-2 with the Dyson-Schwinger approach. https://doi.org/10.1140/epja%2Fi2011-11028-1

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