We calculate the mass dependent renormalization factors of heavy-light bilinears at one-loop order of perturbation theory, when the heavy quark is treated with the Fermilab formalism. We present numerical results for the Wilson and Sheikholeslami-Wohlert actions, with and without tree-level rotation. We find that in both cases our results smoothly interpolate from the static limit to the massless limit. We also calculate the mass dependent Brodsky-Lepage-Mackenzie scale q∗, with and without tadpole-improvement.
@article{arxiv.hep-lat/0110085,
title = {One-loop renormalization of heavy-light currents},
author = {J. Harada and S. Hashimoto and K. -I. Ishikawa and A. S. Kronfeld and T. Onogi and N. Yamada},
journal= {arXiv preprint arXiv:hep-lat/0110085},
year = {2015}
}