Heavy mass expansion, light-by-light scattering and the anomalous magnetic moment of the muon

Abstract

Contributions from light-by-light scattering to (g_μ-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_μ/M)^2. This series is well convergent even for the case M=m_μ. 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.

arXiv commentrevtex4, eps figures

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• Electroweak and supersymmetric two-loop corrections to (g-2)_μ
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• Indirect Sensitivities to the Scale of Supersymmetry
• The Supersymmetric Parameter Space in Light of B-physics Observables and Electroweak Precision Data
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• Disentangling perturbative and power corrections in precision tau decay analysis
• Proton-box contribution to $a_{\mu }^{\mathrm{HLbL}}$
• Supersymmetric two-loop contributions to the anomalous magnetic moment of the muon
• Sophisticated momenta mapping with DIANA