Hyperasymptotic approximation to the top, bottom, and charm pole mass

We construct hyperasymptotic expansions for the heavy quark pole mass regulated using the principal value (PV) prescription. We apply such hyperasymptotic expansions to the B/D meson masses, and Λ̄ computed in the lattice. The issue of the uncertainty of the (top) pole mass is critically reexamined. The present theoretical uncertainty in the relation between m_t, the MS̄ top mass, and m_t,PV, the top pole mass regulated using the PV prescription, is numerically assessed to be δm_t,PV = 28 MeV for m_t = 163 GeV.