Matching the HQET to Coulomb Type Bound States

Preprint

31 May 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-ph/9505442

Abstract

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 cut-off. This commutation is not apparent when dimensional regularization is used, but it can be made manifest in a cut-off 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.

Keywords

COULOMB TYPE BOUND
MATCHING THE HQET
TYPE BOUND STATES
COMMUTATION
QCD

All Related Versions

Version 1, 1995-05-31, ArXiv
Published version: Physics Letters B, 361 (1-4), 95.

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