Fragmentation functions of the pion, kaon, and proton in the NLO approximation: Laplace transform approach

Abstract

Using repeated Laplace transform, We find an analytical solution for DGLAP evolution equations for extracting the pion, kaon and proton Fragmentation Functions (FFs) at NLO approximation. We also study the symmetry breaking of the sea quarks Fragmentation Functions, $D_{\bar{q}}^h(z,Q^2)$ and simply separated them according to their mass ratio. Finally, we calculate the total Fragmentation Functions of these hadrons and compare them with experimental data and those from global fits. Our results show a good agreement with the FFs obtained from global parameterizations as well as with the experimental data.

16 Pages, 4 Figures, 1 Table

References in corpus (12)

• Fragmentation Functions for Pions, Kaons, and Protons at Next-to-Leading Order
• Determination of fragmentation functions and their uncertainties
• Testing the Universality of Fragmentation Functions
• Production of pi+, pi-, K+, K-, p and p-bar in Light (uds), c and b Jets from Z0 Decays
• An analytic solution to LO coupled DGLAP evolution equations: a new pQCD tool
• Applications of the leading-order Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations to the combined HERA data on deep inelastic scattering
• A new numerical method for obtaining gluon distribution functions $G(x,Q^2)=xg(x,Q^2)$, from the proton structure function $F_2^{\gamma p}(x,Q^2)$
• Decoupling the NLO coupled DGLAP evolution equations: an analytic solution to pQCD
• Addendum to: "A new numerical method for obtaining gluon distribution functions $G(x,Q^2)=xg(x,Q^2)$, from the proton structure function $F_2^{\gamma p}(x,Q^2)$."
• A new approach to calculate the gluon polarization
• A new numerical method for inverse Laplace transforms used to obtain gluon distributions from the proton structure function
• Determination of fragmentation functions and their uncertainties from e+ + e- -> h + X data

Cited by in corpus (13)

• Analytic derivation of the next-to-leading order proton structure function $F_2^p(x,Q^2)$ based on the Laplace transformation
• QCD analysis of nucleon structure functions in deep-inelastic neutrino-nucleon scattering: Laplace transform and Jacobi polynomials approach
• First determination of $D^{\ast +}$-meson fragmentation functions and their uncertainties at next-to-next-to-leading order
• Analytical approaches to the determination of spin-dependent parton distribution functions at NNLO approximation
• Analytical solutions of the QCD$\otimes$QED DGLAP evolution equations based on the Mellin transform technique in NLO approximation
• Impact of unidentified light charged hadron data on the determination of pion fragmentation functions
• Decoupling the NLO coupled QED $\otimes$ QCD, DGLAP evolution equations,Using Laplace Transform Method
• EMC effect in the next-to-leading order approximation based on the Laplace transformation
• Improved determination of $\bar{d}(x)-\bar{u}(x)$ flavor asymmetry in the proton by BONuS experiment at JLAB and using an approach by Brodsky, Hoyer, Peterson, and Sakai
• An analysis of the fragmentation function of gluon at next-to-leading order approximation
• Fragmentation Functions of neutral mesons ${\pi }^0$ and $k^0$ with Laplace transform approach
• Determination of contributions from residual light charged hadrons to inclusive charged hadrons from $e^{+}{e}^{-}$ annihilation data
• QCD analysis of non-singlet structure functions at NNLO accuracy, based on the Laplace transform