Low-energy gluon contributions to the vacuum polarization of heavy quarks

Abstract

We calculate a correction to the electromagnetic current induced by a heavy quark loop. The contribution of this correction to the vacuum polarization function appears at the O(alpha_s^3) order of perturbation theory and has a qualitatively new feature -- its absorptive part starts at zero energy in contrast to other contributions where the absorptive parts start at the two-particle threshold. Our result imposes a constraint on the order n of the moments used in the heavy-quark sum rules, n<4.

8 pages in LaTeX, 1 PostScript figure included in the text

References in corpus (2)

• Observation of an Excess in the Search for the Standard Model Higgs Boson at ALEPH
• O(alpha_s^5 m) quarkonium 1S spectrum in large-beta_0 approximation and renormalon cancellation

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