Models of Extra Dimensions and Searches for Kaluza-Klein Modes at the LHC

We have considered the theories of extra dimensions from Large Extra Dimensions and Randall-Sundrum models to the E8 × E8 heterotic sting theory identified with the 11-dimensional M-theory. Within the three models of extra dimensions and with the help of computer program PYTHIA were calculated the production cross sections for Kaluza-Klein gravitons and Kaluza-Klein vector bosons with the cms energy range 2 -14 TeV at the LHC. It was performed a comparison of the theoretical predictions with the data of computer modeling and found a satisfactory agreement. Searches on heavy gauge bosons performed by the ATLAS and CMS experiments collected during 2012 at the LHC were used for comparison with our calculations for masses of Kaluza-Klein gauge boson. The obtained results are important for future searches of Kaluza-Klein gravitons and vector bosons with the cms 14 TeV at the LHC.