We present the coefficient of the chromomagnetic interaction operator,
the only unknown coefficient in the Heavy Quark Effective Theory (HQE
T) lagrangian up to the 1/m level, with the two-loop accuracy by match
ing scattering amplitudes of an on-shell heavy quark in an external fi
eld in full QCD and HQET, and obtain the two-loop anomalous dimension
of this operator in HQET. (C) 1997 Elsevier Science B.V.