Abstract :
The relation between the pole quark mass and the MS-renormalized mass is governed by an infrared renormalon singularity, which leads to an ambiguity of order ΛQCD in the definition of the pole mass. We use the renormalization group and heavy quark effective theory to determine the exact nature of this singularity up to an overall normalization. In the abelian gauge theory, the normalization is computed partially to next-to-leading order in the flavour expansion.
