Abstract

We calculate the coefficients of operators with dimensions d⩽7 in the operator product expansion of correlators of qΓQ currents, for the effective field theory of an infinite-mass quark, Q. Exact two-loop results are obtained, with an arbitrary gauge group and spacetime dimension, for the perturbative ( d=0) and quark-condensate ( d=3) contributions, confirming our previous result for the anomalous dimension of the current. Leading-order results are given for light-quark operators with d = 5, 6, 7 and gluon operators with d=4,6. The existence of a perturbative correction of order 100% precludes a reliable determination of ƒ B from non-relativistic sum rules.

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