Eur. Phys. J. C 24, 393-405 (2002)
DOI: 10.1007/s10052-002-0958-2
An interpolation of the vacuum polarization function for the evaluation of hadronic contributions to the muon anomalous magnetic moment
S. Groote1, 2, J.G. Körner1, 2 and A.A. Pivovarov1, 21 Institut für Physik, Johannes-Gutenberg-Universität, Staudinger Weg 7, 55099 Mainz, Germany
2 Institute for Nuclear Research of the Russian Academy of Sciences, Moscow 117312, Russia
(Received: 14 December 2001 / Published online: 7 June 2002 )
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.
© Società Italiana di Fisica, Springer-Verlag 2002
