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

A. Nyffeler

doi:10.1088/1674-1137/34/6/016

Chinese Physics C> 2010, Vol. 34> Issue(6) : 705-711 DOI: 10.1088/1674-1137/34/6/016

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

A. Nyffeler ^,

Regional Centre for Accelerator-based Particle Physics, Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad - 211019, India

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Abstract：
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_μ^{LbyL; had}=(116±40)×10^－11, with a conservative error estimate in view of the many still unsolved problems. Some potential ways for further improvements are briefly discussed as well. For the electron we obtain the new estimate a_e^{LbyL; had}=(3.9±1.3)×10^－14.

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A. Nyffeler. Hadronic light-by-light scattering contribution to the muon g－2[J]. Chinese Physics C, 2010, 34(6): 705-711. doi: 10.1088/1674-1137/34/6/016

A. Nyffeler. Hadronic light-by-light scattering contribution to the muon g－2[J]. Chinese Physics C, 2010, 34(6): 705-711. doi: 10.1088/1674-1137/34/6/016 shu

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

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