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Next-to-Leading Order QCD Corrections to the Lifetime Difference of B_s Mesons

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arxiv hep-ph/9808385 v2 pith:TPMLJBXQ submitted 1998-08-22 hep-ph

Next-to-Leading Order QCD Corrections to the Lifetime Difference of B_s Mesons

M. Beneke (CERN) , G. Buchalla (CERN) , C. Greub (Berne U.) , A. Lenz (MPI Munich) , U. Nierste (DESY) This is my paper
classification hep-ph
keywords next-to-leadingorderdifferencegammacorrectionsdeltalifetimealpha
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute the QCD corrections to the decay rate difference in the $B_s-\bar B_s$ system, $\Delta\Gamma_{B_s}$, in the next-to-leading logarithmic approximation using the heavy quark expansion approach. Going beyond leading order in QCD is essential to obtain a proper matching of the Wilson coefficients to the matrix elements of local operators from lattice gauge theory. The lifetime difference is reduced considerably at next-to-leading order. We find $(\Delta\Gamma/\Gamma)_{B_s}=(f_{B_s}/210 MeV)^2 [0.006 B(m_b)+0.150 B_S(m_b)-0.063]$ in terms of the bag parameters $B, B_S$ in the NDR scheme. As a further application of our analysis we also derive the next-to-leading order result for the mixing-induced CP asymmetry in inclusive $b\to u\bar ud$ decays, which measures $\sin 2\alpha$.

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Cited by 3 Pith papers

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  1. Next-to-next-to-leading QCD corrections to the $\mathbf{B^+}$-$\mathbf{B_d^0}$, $\mathbf{D^+}$-$\mathbf{D^0}$, and $\mathbf{D_s^+}$-$\mathbf{D^0}$ lifetime ratios

    hep-ph 2026-04 conditional novelty 7.0

    Three-loop perturbative corrections to B and D meson lifetime ratios are calculated, producing values that agree with experiment when using HQET sum rules or lattice inputs.

  2. Predictions for $b$-baryon lifetimes at NNLO-QCD

    hep-ph 2026-07 accept novelty 6.0

    NNLO-QCD corrections to the free b-quark decay and NLO corrections to dimension-five operators reduce uncertainties in HQE predictions for b-baryon lifetimes, yielding excellent agreement with experiment.

  3. Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2023

    hep-ex 2024-11 accept novelty 2.0

    The Heavy Flavour Averaging Group reports updated world averages for b-hadron, c-hadron, and tau-lepton properties including branching fractions, lifetimes, mixing, CP violation, and CKM elements.