Theoretical status of the lifetime predictions: (ΔΓ/Γ)Bs,τB+/τBd(\Delta \Gamma/ \Gamma)_{B_s}, \tau_{B^+}/\tau_{B_d} and τΛb/τBd\tau_{\Lambda_b}/\tau_{B_d}

We give a review of the theoretical status of the lifetime predictions in the standard model. In case of $(\Delta \Gamma/ \Gamma)_{B_s}$ we are already in a rather advanced stage. We obtain $(\Delta\Gamma/\Gamma)_{B_s}=(9.3^{+3.4}_{-4.6})$. It seems to be difficult to improve these errors substantially. In addition now some experimental results are available. For $\tau_{B^+}/\tau_{B_d}$ and $\tau_{\Lambda_b} / \tau_{B_d}$ the theoretical status is much less advanced and the discrepancy between experiment and theory still remains. We conclude with a what-to-do-list for theorists.Comment: Invited talk given at the International Conference on Flavor Physics in Zhang-Jia-Jie City, Hunan, China, May 31 - June 6,2001. 6 page

Search for new physics in BsB_s-mixing

We present the current status of the search for new physics effects in the mixing quantities $\Delta M_s$, $\Delta \Gamma_s$ and $\phi_s$ of the neutral $B_s$-system.Comment: Invited talk at Continuous Advances in QCD (CAQCD-08), May 15-18, 2008, Minneapolis; 9 pages; 2 References adde