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We extend the k_\perp-factorization formalism for exclusive photoproductionof vector mesons to the production of electroweak Z^0 bosons. Predictions forthe gamma p \to Z^0 p and p p \to p p Z^0 reactions are given using anunintegrated gluon distribution tested against deep inelastic data. We presentdistributions in the Z^0 rapidity, transverse momentum of Z^0 as well as inrelative azimuthal angle between outgoing protons. The contributions ofdifferent flavours are discussed. Absorption effects lower the cross section bya factor of 1.5-2, depending on the Z-boson rapidity. We also discuss theproduction of Z^0 bosons in central inclusive production. Here rapidity and(x_{\Pom,1}, x_{\Pom,2}) distributions of Z^0 are calculated. The correspondingcross section is about three orders of magnitude larger than that for thepurely exclusive process.

Production of Z^0 bosons with rapidity gaps: exclusive photoproduction in gamma p and p p collisions and inclusive double diffractive Z^0's