Short-distance analysis for heavy-quark systems: (I). Diagrammatics

doi:10.1016/0550-3213(79)90199-8

Nuclear Physics B

Volume 156, Issue 3, 10 September 1979, Pages 365-390

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Abstract

We investigate the sense in which the coupling of soft external probes to heavy quark-antiquark bound states may be considered a short-distance process. We apply an observation of Applequist, Dine and Muzinich to justify performing operator product expansions on gluon insertions in the heavy-quark state; this allows us to summarize the couplings of this state to external probes as the matrix elements of a series in local operators. The criterion for the validity of the expansion, for a bound state of size a₀, is that the external momentum scale be much less than the Rydberg energy g²/a₀ associated with the color Coulomb potential. We calculate the Wilson coefficients of our expansion to leading order in g² both for static quarks and for non-relativistic $Q Q$ bound states.

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^☆: Research supported in part by the National Science Foundation under Grant PHY77-22864.

^★★: Junior Fellow, Harvard Society of Fellows.

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Nuclear Physics B

Short-distance analysis for heavy-quark systems: (I). Diagrammatics☆

Abstract

ITEP preprint

Phys. Rev. Lett.

Phys. Rev.

Phys. Rev. Lett.

Phys. Rev.

Nucl. Phys.

Phys. Lett.

Phys. Rev.

Phys. Rev.