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.
Highlights
Study of heavy hadron properties provides a possibility for better understanding the quark-gluon interaction dynamics in the QCD framework
We focus on the hadronization of gluon, charm, and bottom quarks into the Λþc using the massless scheme and provide the first QCD analysis of ðg; c; bÞ → Λþc fragmentation functions (FFs) at next-to-next-to-leading order (NNLO)
We determined the nonperturbative unpolarized FFs for the charmed baryon Λþc in two various approaches; phenomenological analysis and theoretical approach based on the Suzuki model
Summary
Study of heavy hadron properties provides a possibility for better understanding the quark-gluon interaction dynamics in the QCD framework. [16,17,18,19,20,21,22,23] where the heavy hadron FFs are computed by use of the Suzuki model [24] This elaborate model is related to the perturbative QCD framework where all convenient Feynman diagrams at each order of perturbative QCD are considered for the parton level of the hadronization process. In this approach, the nonperturbative aspect of hadronization emerges in the bound state wave function. In Ref. [29], the Λþc FFs were determined both at leading and next-to-leading order in the minimal subtraction factorization scheme (MS) by fitting the fractional energy spectra of Λþc baryon measured by the OPAL in the
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
