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We compute the next-to-leading order QCD corrections to the off-diagonalelements of the decay-width matrix Gamma entering the neutral B-mesonoscillations. From this calculation the width differences DeltaGamma and the CPviolation parameters (q/p) of Bd and Bs mesons are estimated, including thecomplete O}(alpha_s) QCD corrections and the 1/mb contributions. For the widthdifference DeltaGamma_s we agree with previous results. By using the latticedeterminations of the relevant hadronic matrix elements we obtain thetheoretical predictions DeltaGamma_d/Gamma_d=(2.42+-0.59) x 10^(-3) andDeltaGamma_s/Gamma_s=(7.4+-2.4) x 10^(-2). For the CP violation parameters, wefind |(q/p)_d|-1=(2.96+-0.67) x 10^(-4) and |(q/p)_s|-1=(-1.28+-0.27) x10^(-5). These predictions are compatible with the experimental measurementswhich, however, suffer at present from large uncertainties.Comment: 25 pages, 7 figures, uses epsfig, typos corrected and reference adde

Lifetime differences and CP violation parameters of neutralBmesons at the next-to-leading order in QCD