  We obtain the renormalization group improved expressions of the Wilson
coefficients of the HQET Lagrangian with leading logarithmic approximation to
${\cal O}(1/m^3)$ for the spin-independent sector, which includes the heavy
quark chromo-polarizabilites. Our analysis includes the effects induced by
spectator quarks. We observe that the numerical impact of these logarithms is
very large in most cases.
