A bstract 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 ? 1 S $$ oldsymbol{Upsilon} (1S) $$ 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 MS ˉ $$ overline{mathrm{MS}} $$ mass reads m ˉ b m b = 4201 43 $$ {overline{m}}_bleft({m}_bight)=4201(43) $$ MeV.
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