${\Lambda }_c^{+}$ 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.

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

References in corpus (11)

• Parton distributions for the LHC
• Charmed-Meson Fragmentation Functions with Finite-Mass Corrections
• A determination of the fragmentation functions of pions, kaons, and protons with faithful uncertainties
• Next-to-Next-to-Leading Order Evolution of Non-Singlet Fragmentation Functions
• Finite-Mass Effects on Inclusive B-Meson Hadroproduction
• On Third-Order Timelike Splitting Functions and Top-Mediated Higgs Decay into Hadrons
• $B$-hadron fragmentation functions at next-to-next-to-leading order from global analysis of $e^{+}{e}^{-}$ annihilation data
• Heavy quark fragmentation functions at next-to-leading perturbative QCD
• Impact of unidentified light charged hadron data on the determination of pion fragmentation functions
• Interference effects for the top quark decays $t\to b+W^{+}/H^{+}(\to {\tau }^{+}{\nu }_{\tau })$
• QCD analysis of light charged Higgs production through polarized top quark decay in two various frames