Compatibility of various approaches to heavy-quark fragmentation - art. no. 077503

We find that the definition of the heavy-quark fragmentation function given by Jaffe and Randall differs by a factor of the longitudinal-momentum frac tion z from the standard Collins-Soper definition. Once this factor is take n into account, the explicit calculation of Braaten et al. is found to be i n agreement with the general analysis of Jaffe and Randall. We also examine the model of Peterson et nl. for heavy-quark fragmentation and find that t he quoted values of the width and of the value of z at the maximum are in e rror. The corrected values are in agreement with the analysis of Jaffe and Randall.