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

Abstract

We show that in the context of QCD sum rules a strong (anti-) correlation between the $b$-quark mass $m_b$ and the $B$-meson's decay constant $f_B$ emerges: $\hat{I}´f_B/f_B\approx -8\hat{I}´m_b/m_b.$ This observation allows us to derive a precise value of $m_b$ from a Borel sum rule for the two-point correlator of heavy-light currents exploiting accurate $f_B$ results from lattice QCD as input: ${\bar{m}}_b({\bar{m}}_b)=(4.247\pm 0.034)$ GeV.

8 pages, 1 figure, talk presented at the XXIst International Workshop on High Energy Physics and Quantum Field Theory, 23-30 June 2013, Saint Petersburg Area, Russia