Inclusive Production of the Higgs Boson at the LHC in the Framework of the k<sub>t</sub>–Factorization Approach of QCD
<sec> —Within the framework of the <inline-formula><inline-graphic href="YadFEn1805001Abdulov-m3" xmlns:xlink="http://www.w3.org/1999/xlink"></inline-graphic></inline-formula>-factorization QCD approach, the cross sections of the inclusive production of Higgs bosons in different decay modes at the LHC energies are calculated. In the calculations, non-integrated (dependent on a transverse momentum) gluon distribution functions in the proton, obtained from the numerical solution of the evolution equation of Catani−Ciafaloni−Fiorani−Marchesini (CCFM), were used. We achieved a generally satisfying description of the experimental data of the differential cross section of the Higgs boson production taken by the ATLAS and CMS collaborations at energies of 8 and 13 TeV. Effective consideration of the higher corrections of QCD perturbation theory in the framework of the <inline-formula><inline-graphic href="YadFEn1805001Abdulov-m4" xmlns:xlink="http://www.w3.org/1999/xlink"></inline-graphic></inline-formula>-factorization approach isdemonstrated and the dependence of the obtained results on various non-integrated gluon distributions is studied. </sec>