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.
Next-to-Leading Order QCD Corrections to the Lifetime Difference of $B_s$ Mesons
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
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 $\sin 2\alpha$.
citation-role summary
background 1
method 1
citation-polarity summary
representative citing papers
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.
citing papers explorer
-
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
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.
-
Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2023
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.