Eur. Phys. J. C 21, 133-143 (2001)
Heavy quark induced effective action for gauge fields in the model and the low-energy structure of heavy quark current correlatorsS. Groote1 and A.A. Pivovarov1, 2
1 Institut für Physik der Johannes-Gutenberg-Universität, Staudinger Weg 7, 55099 Mainz, Germany
2 Institute for Nuclear Research of the Russian Academy of Sciences, 117312 Moscow, Russia
(Received: 21 April 2001 / Revised version: 18 May 2001 / Published online: 29 June 2001 -© Springer-Verlag / Società Italiana di Fisica 2001)
We calculate the low-energy limit of heavy quark current correlators within an expansion in the inverse heavy quark mass. The induced low-energy currents built from the gluon fields corresponding to the initial heavy quark currents are obtained from an effective action for gauge fields in the one-loop approximation at the leading order of the 1/m expansion. Explicit formulae for the low-energy spectra of electromagnetic and tensor heavy quark current correlators are given. Consequences of the appearance of a nonvanishing spectral density below the two-particle threshold for high precision phenomenology of heavy quarks are discussed quantitatively.
© Società Italiana di Fisica, Springer-Verlag 2001