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arxiv: hep-ph/0006345 · v3 · submitted 2000-06-29 · ✦ hep-ph · hep-lat

Computation of bar{Λ} and λ₁ with Lattice QCD

classification ✦ hep-ph hep-lat
keywords lambdalatticemasstakingtextaccountapproximationbehavior
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We pursue a new method, based on lattice QCD, for determining the quantities $\bar{\Lambda}$, $\lambda_1$, and $\lambda_2$ of heavy-quark effective theory. We combine Monte Carlo data for the meson mass spectrum with perturbative calculations of the short-distance behavior, to extract $\bar{\Lambda}$ and $\lambda_1$ from a formula from HQET. Taking into account uncertainties from fitting the mass dependence and from taking the continuum limit, we find $\bar{\Lambda} = 0.68{+0.02}_{-0.12} \text{GeV}$ and $\lambda_1 = -(0.45 \pm 0.12) \text{GeV}^2$ in the quenched approximation.

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