Heavy quark masses in the continuum limit of quenched Lattice QCD Original Research Article

We compute charm and bottom quark masses in the quenched approximation and in the continuum limit of lattice QCD. We make use of a step scaling method, previously introduced to deal with two scale problems, that allows to take the continuum limit of the lattice data. We determine the RGI quark masses and make the connection to the MS scheme. The continuum extrapolation gives us a value mbRGI=6.73(16) GeV for the b-quark and mcRGI=1.681(36) GeV for the c-quark, corresponding, respectively, to mbMS(mbMS)=4.33(10) GeV and mcMS(mcMS)=1.319(28) GeV. The latter result, in agreement with current estimates, is for us a check of the method. Using our results on the heavy quark masses we compute the mass of the Bc meson, MBc=6.46(15) GeV.