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Particles and Fields

Eur. Phys. J. C 21, 133-143 (2001)
DOI: 10.1007/s100520100707

Heavy quark induced effective action for gauge fields in the $SU(N_c)\otimes U(1)$ model and the low-energy structure of heavy quark current correlators

S. 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