Application of fragmentation function to the indirect production of fully charmed tetraquark

The indirect production mechanisms of fully charmed tetraquark are analyzed using the NRQCD factorization and Suzuki approach, respectively. The process first produces a heavy charm quark through Higgs, \(W^+\), or \(Z^0\) decay, and then the resulting charm quark evolves into an S-wave fully charmed tetraquark state with quantum number \(J^{PC}\), including \(0^{++}\), \(1^{+-}\), and \(2^{++}\), via the fragmentation function. While the transverse momentum \(\langle \vec {q}_T^2\rangle \) in Suzuki approach ranges from 2.01 to 299.04 \(\text {GeV}^2\), the numerical results obtained from these two approaches are consistent with each other. The decay widths, branching ratios, and produced events would be predicted at LHC and CEPC, respectively. The corresponding theoretical uncertainty of heavy quark mass \(m_c\) and distribution of energy fraction are also presented. The results show that the contribution for the production of \(T_{4c}\) through \(W^+\) decay channel at LHC is relatively large. At CEPC, a sufficient number of \(T_{4c}\) events are produced through \(Z^0\) decays, which is likely to be detected in future experiments.