An analysis of parton distribution functions of the pion and the kaon with the maximum entropy input

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 GeV2) 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.

Automated summary

Pion and kaon parton distribution functions are derived through a global QCD analysis, with sea quarks and gluons generated from parton splitting processes. High Q(2) valence and sea quark distributions are in agreement with experimental measurements, while the asymptotic behaviors of parton distribution functions are studied for both pion and kaon at small and large x. Additionally, the first three moments of parton distributions at high Q(2) scale align with other theoretical predictions.