Bottom quark mass and |Vcb| matrix element from R(e+e− → bb) and Γs1(b → clνl) in the next-to-next-to-leading order Original Research Article

We present a consistent analysis of ϒ sum rules and B-meson semileptonic width in the next-to-next-to-leading order in the strong coupling constant. The analysis is based on the analytical result for the heavy quark vector current correlator near threshold in the second-order in perturbative and relativistic expansion around the non-relativistic Coulomb approximation.