B-physics from non-perturbatively renormalized HQET in two-flavour lattice QCD
Fabio Bernardoni (DESY), Benoit Blossier (CNRS, Paris U.), John, Bulava (CERN), Michele Della Morte (Mainz U.), Patrick Fritzsch (Berlin, Humboldt U.), Nicolas Garron (Trinity College), Antoine Gerardin (CNRS and, Paris U.), Jochen Heitger (Muenster U.)

TL;DR
This paper presents a non-perturbatively renormalized lattice QCD study of B-physics using HQET with two flavors, including all NLO effects, to accurately determine b-quark mass and B-meson decay constants.
Contribution
It introduces a comprehensive lattice QCD approach with non-perturbative renormalization and all NLO effects in HQET for B-physics calculations.
Findings
Determined the b-quark mass with controlled uncertainties.
Calculated B and B_s meson decay constants with improved precision.
Established a framework for future high-precision B-physics lattice studies.
Abstract
We report on the ALPHA Collaboration's lattice B-physics programme based on N_f=2 O(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, f_B and f_{B_s}.
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