Erratum: Time-like heavy-flavour thresholds for fragmentation functions: the light-quark matching condition at NNLO

We provide a correction to the coefficient proportional to (1z) in the NNLO time-like matching condition for lightquark fragmentation functions.Although the antenna function containing the double-real correction to the massive contribution is finite in four dimensions, it inheritances a scheme dependency when promoted to a distribution, due to the end-point soft regularisation.Therefore, Eq. ( 39) of the paper introduced a scheme-dependent terms proportional to (1-z) in the double-real contribution.A scheme transformation is needed to match the MS conventions of all the other ingredients entering the calculation.In order to be able to perform a scheme transformation to MS, for the fragmentation antenna B0,id.iih h (z, ), the prescription of Eq. ( 39) must be replaced as follows