Predictions for D*+/- photoproduction at DESY HERA with new fragmentation functions from CERN LEP 1

We present new sets of nonperturbative fragmentation functions for D^*+/- mesons, both at leading and next-to-leading order in the MS¯ factorization scheme with five massless quark flavors. They are determined by fitting the latest OPAL and ALEPH data on inclusive D^*+/- production in e⁺e^- annihilation. We take the charm-quark fragmentation function to be of the form proposed by Peterson et al. and thus obtain new values of the ɛ_c parameter, which are specific for our choice of factorization scheme. With these fragmentation functions, recent data on inclusive D^*+/- photoproduction in ep collisions at DESY HERA are reasonably well reproduced.