FRAGMENTATION FUNCTIONS FOR Bc AND B^*c MESONS WITH DEFINITE POLARIZATION

We present exact fragmentation functions for the production of S-wave Bc and [Formula: see text] mesons splitting out of a [Formula: see text]-antiquark. We distinguish transverse and longitudinal polarizations of [Formula: see text] which is important in hadronic spin properties of such states. Input parameters for our functions are quark masses, meson decay constants, and the transverse momentum for the hard production mechanism. Evolution of such functions from fragmentation scale up to an appropriate factorization scale are given. We compare our results with similar ones in the literature.