Leptonic decay constantfBof the B(bd¯) meson and theb-quark mass

We determine the value of the current b-quark mass using the existing detailed experimental information in moment and Borel-transformed sum rules for the vector b-quark current b¯${\gamma }_{\mu }$b. The resulting value ($m_b$=4.17±0.02 GeV at $p^2$=-$m_b^2$) is used for calculating the decay constant $f_B$ and the mass of the B meson via two sum rules: one constructed from the correlation function of two pseudoscalar currents and the other from the correlation function of a pseudoscalar and an axial-vector current. We find $f_B$=170±20 MeV.