Abstract
We reinvestigate a simple relation between the semileptonic CP asymmetry a_{sl}^s, the decay rate difference ΔΓ_s, the mass difference ΔM_s and S_{ψϕ} extracted from the angular analysis of the decay B_s \to ψϕ, which is regularly used in the literature. We find that this relation is not suited to eliminate the theory prediction for Γ_{12}, it can, however be used to determine the size of the penguin contributions to the decay B_s \to ψϕ. Moreover we comment on the current precision of the theory prediction for Γ_{12}.
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