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

## TL;DR

This paper calculates relativistic corrections to the fragmentation functions of a heavy quark into B_c and B_c* mesons using NRQCD, including their evolution via DGLAP equations.

## Contribution

It provides the first detailed computation of relativistic effects on heavy quark fragmentation functions into B_c mesons within the NRQCD framework.

## Key findings

- Relativistic corrections significantly affect fragmentation functions.
- Presented DGLAP evolution for both singlet and non-singlet cases.
- Results improve the precision of heavy quark fragmentation modeling.

## Abstract

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