On the application of Z^0+jet events for determining the gluon distribution in a proton at the LHC

It is shown that the samples of Z0+jet events, collected at the LHC with the integrated luminosity L_{int}=20 fb^{-1}, may have enough statistics for determining the gluon distribution inside a proton in the region of 2*10^{-4} < x < 1.0 at Q^2 values in the interval of 0.9*10^3 < Q^2 < 4*10^4 ~(GeV/c)^2. A possibility of the background events suppression by use of the Z^0+jet events selection criteria is also demonstrated.