5 UB - ECM - PF - 95 / 6 Matching the HQET to Coulomb - type bound states
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چکیده
We show that the infinite imaginary anomalous dimensions of certain heavy quark-antiquark currents in the HQET arise due to an inappropriate commutation of two limits, namely coinciding velocities and infinite cutoff. This commutation is not apparent when dimensional regularization is used, but it can be made manifest in a cutoff regularization. We argue that operators containing heavy quark and antiquark fields with the same velocity in the HQET must not be matched to perturbative QCD but to Coulomb-type bound state contributions. We show how to do so at one loop level.
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تاریخ انتشار 1995