https://doi.org/10.1140/epjc/s10052-023-12242-y
Regular Article - Theoretical Physics
Heavy quark fragmentation function in two-dimensional QCD in 
limit
1
Institute of High Energy Physics, Chinese Academy of Sciences, 100049, Beijing, China
2
School of Physics, University of Chinese Academy of Sciences, 100049, Beijing, China
3
CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, 100190, Beijing, China
4
School of Physics, Central South University, 418003, Changsha, China
Received:
3
September
2023
Accepted:
6
November
2023
Published online:
22
December
2023
We carry out a comprehensive study of the quark-to-meson fragmentation function in the ’t Hooft model, i.e., the two-dimensional quantum chromodynamics (QCD) in limit, following the operator definition pioneered by Collins and Soper. We apply the Hamiltonian approach as well as the diagrammatic approach to construct the functional form of the quark-to-meson fragmentation function in terms of the meson’s light-cone wave function. For the sake of comparison, we also investigate the heavy quark fragmentation into quarkonium in two-dimensional QCD within the framework of the nonrelativistic QCD (NRQCD) factorization, at the lowest order in quark velocity. In the heavy quark limit, the quark fragmentation function obtained from the ab initio method agrees well, both analytically and numerically, with that obtained from the NRQCD approach. This agreement might be regarded as a nontrivial justification for the validity of both field-theoretical approaches to compute the heavy quark fragmentation function.
© The Author(s) 2023
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