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Heavy mass expansion, light-by-light scattering and the anomalous magnetic moment of the muon
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Contributions from light-by-light scattering to (g_\mu-2)/2, the anomalous magnetic moment of the muon, are mediated by the exchange of charged fermions or scalar bosons. Assuming large masses M for the virtual particles and employing the technique of large mass expansion, analytical results are obtained for virtual fermions and scalars in the form of a series in (m_\mu /M)^2. This series is well convergent even for the case M=m_\mu. For virtual fermions, the expansion confirms published analytical formulae. For virtual scalars, the result can be used to evaluate the contribution from charged pions. In this case our result confirms already available numerical evaluations, however, it is significantly more precise.
Forward citations
Cited by 2 Pith papers
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Hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon at the physical pion mass
A lattice QCD calculation at the physical pion mass with staggered quarks yields a_mu^hlbl = 125.5(11.6)(0.4) x 10^-11, consistent with previous lattice and dispersive determinations.
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Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment
In the all-hard kinematic region of hadronic light-by-light scattering, the external-field OPE gives the perturbative quark loop as the leading term and a small 1/Q^4 magnetic-susceptibility correction.
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