B0d,s–B0d,s mass-differences from QCD spectral sum rules

We present the first QCD spectral sum rules analysis of the SU(3) breaking parameter ξ and an improved estimate of the renormalization group invariant (RGI) bag constant BBq both entering into the B0d,s–B0d,s mass-differences. The averages of the results from the Laplace and moment sum rules to order αs are fBBB≃(247±59) MeV and ξ≡fBsBBsfBBB≃(1.18±0.03), in units where fπ=130.7 MeV. Combined with the experimental data on the mass-differences ΔMd,s, one obtains the constraint on the CKM weak mixing angle |Vts/Vtd|2⩾20.0(1.1). Alternatively, using the weak mixing angle from the analysis of the unitarity triangle and the data on ΔMd, one predicts ΔMs=18.6(2.2) ps−1 in agreement with the present experimental lower bound and within the reach of Tevatron 2.