The b-quark mass from non-perturbative $N_f=2$ Heavy Quark Effective Theory at $O(1/m_h)$

Abstract

We report our final estimate of the b-quark mass from $N_f=2$ lattice QCD simulations using Heavy Quark Effective Theory non-perturbatively matched to QCD at $O(1/m_h)$. Treating systematic and statistical errors in a conservative manner, we obtain ${\overline{m}}_{\mathrm{b}}^{\overline{\mathrm{MS}}}(2\mathrm{GeV})=4.88(15)$ GeV after an extrapolation to the physical point.

15 pages including figures and tables; as published in Phys.Lett.B / typo in table 4 corrected / footnote 1 expanded

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• Non-perturbative improvement of the axial current in N_f=3 lattice QCD with Wilson fermions and tree-level improved gauge action
• Decay constants of B-mesons from non-perturbative HQET with two light dynamical quarks
• Precision lattice QCD computation of the $B^{\ast }B\pi$ coupling
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• Continuum limit of the leading order HQET form factor in $B_s\to K\ell \nu$ decays
• Leptonic D_s decays in two-flavour lattice QCD
• $m_b$ at $m_H$: the running bottom quark mass and the Higgs boson
• Extraction of bare Form Factors for ${\mathrm{B}}_{\mathrm{s}}\to \mathrm{K}\ell \nu$ Decays in non-perturbative HQET
• B-meson spectroscopy in HQET at order 1/m
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