The present status of the theoretical estimates of the difference between the widths of the neutral B s -mesons and of the B-meson lifetime ratios is reviewed. In particular, the lattice results for the matrix elements of the relevant ∆B = 2 operators are updated and the first lattice QCD results for the matrix elements of ∆B = 0 operators are presented. In both cases, the NLO perturbative QCD corrections in the coefficient functions have been included. The theoretically updated results are: (∆Γ/Γ) Bs = 7±4 %, τ (B + )/τ (B d ) = 1.07(3) and τ (B s )/τ (B d ) = 1.00(2). * SV (Shifman-Voloshin limit) is the limit in which ΛQCD ≪ m b − 2mc ≪ m b [5]. † For recent reviews on the computation of (∆Γ/Γ)B s , see also refs. [6,7].