Numerical updates of lifetimes and mixing parameters of B mesons

preprint2011arXivOpen access

Abstract

We update the Standard-Model predictions for several quantities related to Bs−BˉsB_s - \bar B_s and Bd−BˉdB_d - \bar B_d mixing. The mass and width differences in the BsB_s system read ΔMsSM=(17.3±2.6)ps−1 ΔM_s^{\rm SM} = (17.3 \pm 2.6) ps^{-1} and ΔΓsSM=(0.087±0.021)ps−1ΔΓ_s^{\rm SM}= (0.087 \pm 0.021) ps^{-1}, respectively. The CP asymmetries in flavour-specific decays are afss,SM=(1.9±0.3)⋅10−5a_{\rm fs}^{s,\rm SM} = (1.9 \pm 0.3) \cdot 10^{-5} and afsd,SM=−(4.1±0.6)⋅10−4a_{\rm fs}^{d,\rm SM} = - (4.1 \pm 0.6) \cdot 10^{-4}. We further critically discuss the sensitivity of ΔΓdΔΓ_d to new physics and the uncertainties in the relation between ΔΓsΔΓ_s and the branching fraction of Bs→Ds(∗)+Ds(∗)−B_s \to D_s^{(*)}{}^+ D_s^{(*)}{}^-. Then we present a numerical update of the average width ΓsΓ_s in the BsB_s system and correlate ΓsΓ_s with the B+B^+-BdB_d lifetime ratio. Finally we summarise the key results of our recent global analysis with the CKMfitter collaboration addressing new physics in B−BˉB - \bar B-mixing. In an appropriately defined scenario parametrising new physics in B−BˉB - \bar B-mixing by two complex parameters ΔdΔ_d and ΔsΔ_s the Standard-Model point {Δd=Δs=1Δ_d=Δ_s=1} is disfavoured by 3.6 standard deviations.

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