On the fragmentation function for heavy quarks in e+e− collisions

We use a recent O(αs2) calculation of the differential cross section for the production of heavy quarks in e+e− annihilation to compute a few moments of the heavy quark single-inclusive production cross section. We verify that, contrary to some recent claims, the leading and next-to-leading logarithmic terms in this cross section are correctly given by the standard NLO fragmentation function formalism for heavy quark production.