Abstract

We present recent results for the prediction of the B s 0- B s 0 lifetime difference from lattice Heavy Quark Effective Theory simulations. In order to get a next-to-leading order result we have calculated the matching between QCD and HQET and the two loop anomalous dimension in the HQET for all the Δ B = 2 operators, in particular for the operators which enter in the width difference. We obtain for the B s 0- B s 0 lifetime difference, ΔΓ B s Γ B s = (5.1 ± 1.9 ± 1.7) × 10 −2.

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