An interpolation of the vacuum polarization function for the evaluation of hadronic contributions to the muon anomalous magnetic moment

Details An interpolation of the vacuum polarization function for the evaluation of hadronic contributions to the muon anomalous magnetic moment An interpolation of the vacuum polarization function for the evaluation of hadronic contributions to the muon anomalous magnetic moment

2001-11-16

arxiv.org/abs/hep-ph/0111206v2

Eur.Phys.J.C24:393-405,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages in LaTeX, 11 PostScript figures included in the text

Scientific paper

10.1007/s10052-002-0958-2

We propose a simple parameterization of the two-point correlator of hadronic electromagnetic currents for the evaluation of the hadronic contributions to the muon anomalous magnetic moment. The parameterization is explicitly done in the Euclidean domain. The model function contains a phenomenological parameter which provides an infrared cutoff to guarantee the smooth behavior of the correlator at the origin in accordance with experimental data in e+ e- annihilation. After fixing a numerical value for this parameter from the leading order hadronic contribution to the muon anomalous magnetic moment the next-to-leading order results related to the vacuum polarization function are accurately reproduced. The properties of the four-point correlator of hadronic electromagnetic currents as for instance the so-called light-by-light scattering amplitude relevant for the calculation of the muon anomalous magnetic moment are briefly discussed.

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