B-physics with $N_f=2$ Wilson fermions

TL;DR

This paper presents precise lattice QCD calculations of B-meson decay constants and b-quark mass using $N_f=2$ Wilson fermions, employing non-perturbative renormalization and multiple lattice spacings.

Contribution

It provides the final results for B-physics observables with improved Wilson fermions and non-perturbative techniques, advancing the precision of lattice QCD calculations.

Findings

Determined $f_B$, $f_{B_s}$, and $m_b$ with high accuracy.

Used three lattice spacings down to 0.048 fm for continuum extrapolation.

Applied HQET to treat the b-quark in lattice simulations.

Abstract

We report the final results of the ALPHA collaboration for some B-physics observables: $f_B$, $f_{B_s}$ and $m_b$. We employ CLS configurations with 2 flavors of $O(a)$ improved Wilson fermions in the sea and pion masses ranging down to 190 MeV. The b-quark is treated in HQET to order $1/m_b$. The renormalization, the matching and the improvement were performed non-perturbatively, and three lattice spacings reaching $a=0.048$ fm are used in the continuum extrapolation.