Abstract
We present pion and kaon parton distribution functions from a global QCD analysis of the experimental data within the framework of dynamical parton model. We use the DGLAP equations with parton–parton recombination corrections and the valence input of uniform distribution which maximizes the information entropy. At our input scale Q_0^2, there are no sea quark and gluon distributions. All the sea quarks and gluons of the pion and the kaon are completely generated from the parton splitting processes. The mass-dependent parton splitting kernel is applied for the strange quark distribution in the kaon. The obtained valence quark and sea quark distributions at high Q^{2} (Q^2>5 GeV^2) are compatible with the existed experimental measurements. Furthermore, the asymptotic behaviours of parton distribution functions at small and large x have been studied for both the pion and the kaon. Lastly, the first three moments of parton distributions at high Q^{2} scale are calculated, which are consistent with other theoretical predictions.
Highlights
In experiment, much less is known for the internal structures of the pion and the kaon, due to the absence of the fixed pion and kaon targets
The current available data come from the pion- or kaon- induced Drell-Yan (DY) reaction on the nuclear target at CERN (NA3 and NA10) [25,26,27] and Fermilab (E615) [28], and the leading-neutron deep inelastic scattering (LN-DIS) of e- p collision at HERA (ZEUS and H1) [29,30]
As the nonperturbative input is taken as the MEM input, only the hadronic scale Q20 and the parton–parton recombination parameter R are left to be determined by the global analysis
Summary
Much less is known for the internal structures of the pion and the kaon, due to the absence of the fixed pion and kaon targets. J. C (2021) 81:302 method, JAM collaboration finds that by including the LNDIS data from HERA, the sea quark and gluon distributions are better constrained. XFitter collaboration [35] finds that the current data are not enough to determine sea quark and gluon distributions unambiguously They explored the theoretical uncertainties from such as varying the renormalization and factorization scales, and from the flexibility of the chosen parametrization. To better fix the sea quark and gluon distributions, we perform a global analysis under the framework of dynamical parton model [41,42].
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