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In this paper, we compute the relativistic corrections to the fragmentationfunctions (FFs) of a heavy quark to $B_c$ and $B_c^*$ within the framework ofnon-relativistic QCD (NRQCD) factorization. The non-singlet and singlet DGLAPevolution are also presented.

The relativistic corrections to the fragmentation functions for a heavy quark to $B_c$ and $B_c^{*}$