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

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

2003-01-19

arxiv.org/abs/hep-ph/0301151v1

Phys.Rev.D68:033018,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

revtex4, eps figures

Scientific paper

10.1103/PhysRevD.68.033018

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.

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