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arXiv · hep-ph/9612298

Renormalization of Velocity-Changing Dimension-Five Operators in the Heavy-Quark Effective Theory

G. Amorós·M. Neubert
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Abstract

We study the renormalization of operators of the type ${\bar h_{v'}} ΓG^{μν} h_v$ in the heavy-quark effective theory (HQET). We construct the combinations of such operators that are renormalized multiplicatively, and calculate their velocity-dependent anomalous dimensions at the one-loop order. We then show that the virial theorem of the HQET is not renormalized, and that in the limit of equal velocities the anomalous dimension of the chromo-electric operator vanishes to all orders in perturbation theory. This implies an exact relation between renormalization constants, which may help in a future calculation of the two-loop anomalous dimension of the chromo-magnetic operator.

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G. Amorós, M. Neubert. 1996-12-09. Renormalization of Velocity-Changing Dimension-Five Operators in the Heavy-Quark Effective Theory. https://doi.org/10.1016/s0370-2693(97)00018-x

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