title: Infrared renormalization-group flow for heavy-quark masses.
abstract: A short-distance heavy-quark mass depends on two parameters: the renormalization scale mu and a scale R controlling the absorption of infrared fluctuations. The radius for perturbative corrections that build up the mass beyond its pointlike definition in the pole scheme is approximately 1/R. Treating R as a variable gives a renormalization-group equation. R evolution improves the stability of conversion between short-distance mass schemes, allowing us to avoid large logs and the renormalon. R evolution can also be used to study IR renormalons without using bubble chains, yielding a convergent sum rule for the coefficient of the O(Lambda(QCD)) renormalon ambiguity of the pole mass.
authors.affiliation: Max-Planck-Institut für Physik (Werner-Heisenberg-Institut) Föhringer Ring 6, 80805 München, Germany.
authors.forename: André H
authors.initials: AH
authors.lastname: Hoang
authors.forename: Ambar
authors.initials: A
authors.lastname: Jain
authors.forename: Ignazio
authors.initials: I
authors.lastname: Scimemi
authors.forename: Iain W
authors.initials: IW
authors.lastname: Stewart