Heavy quark fragmentation function in the noncommutative Standard Model
Abstract.The dominant mechanism to produce hadronic bound states with large transverse momentum is fragmentation. The hadronization processes are described by the fragmentation functions (FFs) which are universal and process-independent functions. In this paper, we study for the first time the noncommutative effects to the FF of a heavy quark to fragment into heavy mesons to leading order in the QCD coupling constant. As an example, we focus on the FF of a charm quark to split into the S-wave D-meson and compare our analytical results with both the experimental data and a well-known phenomenological model. Here, we compute the corrections of FFs induced by noncommutativity and find a bound on the energy scale where the noncommutative effects of the space-time will be relevant.