On the Possibilities of Measuring the Gluon Distribution Using 'photon/Z^0+jet' Events at Tevatron Run II and LHC

The number of photon+jet and Z+jet events suitable for a determination of gluon distribution function in a proton at Tevatron Run II and during the low luminosity runs at future LHC experiments are estimated for various intervals of x and Q^2. These numbers allow to extract gluon distribution in new kinematic regions of 2 * 10^{-3} < x < 1.0 with 1.6*10^3 < Q^2 < 2*10^4 \~(GeV/c)^2 at Tevatron and of 2* 10^{-4} < x < 1.0$ with 1.6*10^3 < Q^2 < 2*10^5 ~(GeV/c)^2 at LHC. The contributions of background events in different Q^2 intervals are also given.