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We show that in the context of QCD sum rules a strong (anti-) correlationbetween the $b$-quark mass $m_b$ and the $B$-meson's decay constant $f_B$emerges: $\delta f_B/f_B\approx -8 \delta m_b/m_b.$ This observation allows usto derive a precise value of $m_b$ from a Borel sum rule for the two-pointcorrelator of heavy-light currents exploiting accurate $f_B$ results fromlattice QCD as input: $\bar{m}_b(\bar{m}_b)=(4.247\pm0.034)$ GeV.

Accurate Bottom-Quark Mass from Borel QCD Sum Rules for the Decay Constants of $B$ and $B_s$ Mesons