Matching QCD and HQET at three loops

QCD/HQET matching for the heavy-quark field [A.G. Grozin, arXiv:1004.2662 [hep-ph]] and heavy-light quark currents [S. Bekavac, A.G. Grozin, P. Marquard, J.H. Piclum, D. Seidel, M. Steinhauser, Nucl. Phys. B 833 (2010) 46 [arXiv:0911.3356 [hep-ph]] with three-loop accuracy is discussed.