Accurate bottom-quark mass from borel QCD sum rules for the decay constants of B and Bs mesons

Abstract

We show that in the context of QCD sum rules a strong (anti)correlation between the b-quarkmass mb and the B-meson's decay constant fB emerges: δfB/ fB ≈-8δmb/m b. This observation allows us to derive a precise value of m b froma Borel sum rule for the two-point correlator of heavy-light currents exploiting accurate fB results fromlattice QCD as input: m̄b( m̄b()=(4.247±0.034)GeV.