Matrix Elements of Four-quark Operators Relevant to Lifetime Difference Delta Gamma_{B_s} from QCD Sum Rules

We extract the matrix elements of four quark operators O_{L,S} relevant to the B_s and \bar B_s life time difference from QCD sum rules. We find the vacuum saturation approximation works reasonably well, i.e., within 10%. We discuss the implications of our results and compare them with the recent lattice QCD determination.