Hadronic light-by-light scattering in the muon g-2: a Dyson-Schwinger equation approach

Details Hadronic light-by-light scattering in the muon g-2: a Dyson-Schwinger equation approach Hadronic light-by-light scattering in the muon g-2: a Dyson-Schwinger equation approach

2010-12-17

arxiv.org/abs/1012.3886v2

Phys.Rev.D83:094006,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 16 figures, 2 tables. Version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.83.094006

We determine the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon using the framework of Dyson-Schwinger and Bethe-Salpeter equations of QCD. Our result for the pseudoscalar ($\pi^0, \eta, \eta'$) meson exchange diagram is commensurate with previous calculations. In our calculation of the quark loop contribution we improve previous approaches by implementing constraints due to gauge invariance. As a consequence, our value $a_\mu^{\textrm{LBL;quarkloop}} = (136 \pm 59)\times 10^{-11}$ is significantly larger. Taken at face value, this then leads to a revised estimate of the total $a_\mu=116\,591\,891.0(105.0)\times 10^{-11}$.

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