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The cross section for the diffractive deep-inelastic scattering process ep ->e X p is measured, with the leading final state proton detected in the H1Forward Proton Spectrometer. The data sample covers the range x_pom<0.1 infractional proton longitudinal momentum loss, 0.1 < |t| < 0.7 GeV^2 in squaredfour-momentum transfer at the proton vertex and 4 < Q^2 < 700 GeV^2 in photonvirtuality. The cross section is measured four-fold differentially in t, x_pom,Q^2 and beta=x/x_pom, where x is the Bjorken scaling variable. The t and x_pomdependences are interpreted in terms of an effective pomeron trajectory and asub-leading exchange. The data are compared to perturbative QCD predictions atnext-to-leading order based on diffractive parton distribution functionspreviously extracted from complementary measurements of inclusive diffractivedeep-inelastic scattering. The ratio of the diffractive to the inclusive epcross section is studied as a function of Q^2, beta and x_pom.

Measurement of the Diffractive Deep-Inelastic Scattering Cross Section with a Leading Proton at HERA