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2010

Hadronic light-by-light scattering contribution to the muon g-2

Nyffeler, Andreas

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We review recent developments concerning the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon.

We first discuss why fully off-shell hadronic form factors should be used for the evaluation of this contribution to the g-2.
We then reevaluate the numerically dominant pion-exchange contribution in the framework of large-N_C QCD, using an off-shell pion-photon-photon form factor which fulfills all QCD short-distance constraints, in particular, a new short-distance constraint on the off-shell form factor at the external vertex in g-2, which relates the form factor to the quark condensate magnetic susceptibility in QCD.
Combined with available evaluations of the other contributions to hadronic light-by-light scattering this leads to the new result a_{\mu}(LbyL; had) = (116 \pm 40) x 10^{-11}, with a conservative error estimate in view of the many still unsolved problems.

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