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