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Lambda-bar, lambda₁ and m_b in three-flavor (lattice) QCD

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arxiv hep-lat/0610108 v1 pith:IKATZY6A submitted 2006-10-19 hep-lat hep-ph

Lambda-bar, lambda_1 and m_b in three-flavor (lattice) QCD

classification hep-lat hep-ph
keywords lambdaheavy-quarklatticemassmesonquarkanalysisbottom
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

The heavy-quark expansion for inclusive semi-leptonic B decays introduces $\bar{\Lambda}$ and $\lambda_1$, which are matrix elements in heavy-quark effective field theory. We review how they can be obtained from an analysis of the heavy quark mass dependence of heavy-light meson masses in lattice QCD. We present preliminary results for the bottom quark mass, $m_b$, using $\bar{\Lambda}$ and $\lambda_1$ for the $B_s$ meson from a 2+1 sea-flavor unquenched calculation.

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