2003/05/19 by Giulia Maria de Divitiis, G. M. de Divitiis, Marco Guagnelli +6 · 10 citations
Physics and Astronomy · #Bottom quark #Charm quark #Extrapolation #Geometry #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Limit (mathematics) #Meson #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Scaling #Scaling limit #Top quark #hep-lat #hep-ph
paper · pdf · open access · doi:10.1016/j.nuclphysb.2003.10.001
published in arXiv (Cornell University) 675(1-2), 309-332 (Cornell University) · 29 pages, 9 figures, version accepted for publication in Nucl. Phys. B
openalex publication_date 2003/05/19 · arxiv created 2003/10/01 · arxiv updated 2016/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Abstract: 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 keep the lattice cutoff always greater than the quark mass. We determine the RGI quark masses and make the connection to the MS scheme. The continuum extrapolation gives us a value m RGI b = 6.57(15) GeV for the b–quark and mRGI c = 1.663(36) GeV for the c–quark, corresponding respectively to mMS b (mb) = 4.24(10) GeV and mMS c (mc) = 1.308(28) GeV. The latter result 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