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arXiv · hep-ph/9808385

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

M. Beneke·G. Buchalla·C. Greub·A. Lenz·U. Nierste
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Abstract

We compute the QCD corrections to the decay rate difference in the $B_s-\bar B_s$ system, $ΔΓ_{B_s}$, 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 $(ΔΓ/Γ)_{B_s}=(f_{B_s}/210 MeV)^2 [0.006 B(m_b)+0.150 B_S(m_b)-0.063]$ 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 $\sin 2α$.

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M. Beneke, G. Buchalla, C. Greub, A. Lenz, U. Nierste. 1999-05-28. Next-to-Leading Order QCD Corrections to the Lifetime Difference of $B_s$ Mesons. https://doi.org/10.1016/s0370-2693(99)00684-x

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