© 2018 authors. Published by the American Physical Society. We obtain the renormalization group improved expressions of the Wilson coefficients of the heavy quark effective theory Lagrangian with leading logarithmic approximation to O(1/m3) for the spin-independent sector, which includes the heavy quark chromopolarizabilities. Our analysis includes the effects induced by spectator quarks. We observe that the numerical impact of these logarithms is very large in most cases.