${\Lambda }_c^{+}$ fragmentation functions from pQCD approach and the Suzuki model

Abstract

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.

arXiv comment13 pages, 7 figures and 2 Tables, Accepted for publication in physical Review D

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