Measurement of leading proton production with ZEUS at HERA The semi-inclusive reaction e+p -> e+Xp, with the final state proton carrying a large fraction of the incoming proton energy, x_L > 0.32, and having a transverse momentum squared p_T2 < 0.5 GeV2, was studied with the ZEUS detector at HERA. The data cover photon virtualities Q2 > 3 GeV2 and photon proton centre-of-mass energies 45 < W < 225 GeV. Leading protons were detected with the ZEUS leading proton spectrometer. The leading-proton production cross section and rates are presented as functions of x_L, p_T2, Q2 and the Bjorken scaling variable, x.