The bottom quark mass from the ϒ(1S)system at NNNLO

Abstract: We obtain an improved determination of the normalization constant of the first infrared renormalon of the pole mass (and the singlet static potential). For N_f = 3 it reads N_m = 0.563(26). Charm quark effects in the bottom quark mass determination are carefully investigated. Finally, we determine the bottom quark mass using the NNNLO perturbative expression for the ϒ(1S) mass. We work in the renormalon subtracted scheme, which allows us to control the divergence of the perturbation series due to pole mass renormalon. Our result for the ¯ mass reads m¯b(mb=4201(43) MeV.