We consider the Heavy Quark Expansion (HQE) for the nonleptonic decay rates
of heavy hadrons, and compute the NLO QCD corrections to power terms up to
order 1/mQ2β. We neglect the masses of the final-state quarks, so the
application of our result is mainly for charmed hadrons. Our result can be
applied also to bottomed hadrons as they constitute the main effect to this
order up to corrections of O(mcβ/mbβ) and contributions due to
penguin operators. We discuss the impact of our result for the lifetimes of
heavy hadrons.Comment: 17 pages, 8 figure