B-physics from non-perturbatively renormalized HQET in two-flavour lattice QCD

We report on the ALPHA Collaborationʼs lattice B-physics programme based on Nf=2O(a) improved Wilson fermions and HQET, including all NLO effects in the inverse heavy quark mass, as well as non-perturbative renormalization and matching, to fix the parameters of the effective theory. Our simulations in large physical volume cover 3 lattice spacings a≈(0.08−0.05)fm and pion masses down to 190 MeV to control continuum and chiral extrapolations. We present the status of results for the b-quark mass and the B(s)-meson decay constants, fB and fBs.