Computation of $\bar{\Lambda }$ and ${\lambda }_1$ with Lattice QCD

Abstract

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.

7 pp, 4 figs (in v2 Fig. 4 now shows Ref. 13, as advertised); in v3 error in BLM scale is corrected

Cited by in corpus (11)

• Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD
• Imprecated, yet Impeccable: On the Theoretical Evaluation of Gamma(B -> X_c \ell ν)
• Hadronic Mass Moments in Inclusive Semileptonic B Meson Decays
• Extraction of HQE parameters from unquenched lattice data on pseudoscalar and vector heavy-light meson masses
• Tuning Fermilab Heavy Quarks in 2+1 Flavor Lattice QCD with Application to Hyperfine Splittings
• Relations between Heavy-light Meson and Quark Masses
• Heavy Quark Parameters and Vcb from Spectral Moments in Semileptonic B Decays
• Heavy quark expansion parameters from lattice NRQCD
• The Average Kinetic Energy of the Heavy Quark in ${\Lambda }_b$ in the Bethe-Salpeter Equation Approach
• Strong interaction effects in semileptonic B decays
• Extraction of nonperturbative parameters for $D^{(\ast )}$ mesons from lattice data