An interpolation of the vacuum polarization function for the evaluation of hadronic contributions to the muon anomalous magnetic moment |
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Authors: | S Groote JG Körner AA Pivovarov |
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Institution: | Institut für Physik, Johannes-Gutenberg-Universit?t, Staudinger Weg 7, 55099 Mainz, Germany, DE
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Abstract: | 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.
Received: 14 December 2001 / Published online: 7 June 2002 |
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