Study On The Single Jet And Prompt-photon Inclusive Production In High-energy Experiments

People have already known that nucleon consists of lots of point-like particles, which are called partons (quarks and gluons). Parton distributions are introduced to study how the partons share the nucleon’s momentum in the high energy colliding experiments. The distribution functions are divided into two kinds:integrated parton distributions and unintegrated parton distributions. The integrated parton distributions which fulfill the conventional DGLAP evolution equation at large x region are available for describing some inclusive experiments such as deep inelastic electron-proton scattering. However, at small x region, the higher-twist effect had to be taken into account when parton density is so big that the interactions between the partons can not be ignored, then the evolution equation should be the MD-DGLAP evolution equation in which the high-twist effects are considered. When considering jet production, Drell-Yan process and some other high-energy colliding experiments, the transverse distributions of the outgoing particles are the very important observed quantities, accordingly, we need to introduce the transverse momentum related distributions to analyze these processes, that is the unintegrated parton distributions. People are not very clear about the unintegrated parton distributions at present, they are still in research. The unintegrated parton distributions can be obtained by the CCFM equation. The solution of the CCFM equation is complicated and only can be obtained with Monte Carlo generator. In this paper, the unintegrated parton distributions are obtained by the KMR scheme which based on integrated parton distributions. Parton distributions can be verified by exploring the cross section of single jet and prompt photon production in the experimentsIn this paper, we study the differences of the integrated parton distributions from the twist-2DGLAP and the twist-4MD-DGLAP evolution equations firstly. Then we compare the unintegrated parton distributions from the twist-2and twist-4conditions in the KMR scheme, we find that the differences of the distributions of gluon and sea quark are very obvious at small x region. Finally, we compute the cross sections of the single jet and prompt-photon inclusive productions, then compare them with the experimental data and draw our conclusions.