$\Lambda_c^+$ fragmentation functions from pQCD approach and the Suzuki model

Through data analysis, we present new sets of nonperturbative fragmentation functions (FFs) for $\Lambda_c^+$ baryon both at leading and next-to-leading order (NLO) and, for the first time, at next-to-next-to-leading order (NNLO) in the minimal subtraction factorization scheme with five massless quarks. The FFs are determined by fitting all available data of inclusive single $\Lambda_c^+$ baryon production in $e^+e^-$ annihilation taken by the OPAL Collaboration at CERN LEP1 and Belle Collaboration at KEKB. We also estimate the uncertainties in the $\Lambda_c^+$ FFs as well as in the corresponding observables. In a completely different approach based on the Suzuki model, we will theoretically calculate the $\Lambda_c^+$ FF from charm quark and present our result at leading order perturbative QCD framework. A comparison confirms a good consistency between both approaches. We will also apply the $\Lambda_c^+$ FFs to make theoretical predictions for the energy distribution of $\Lambda_c^+$ produced through the top quark decay, to be measured at the CERN LHC.