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We consider within QCD collinear factorization the process $p+p\to {\rm jet} +{\rm jet} +Xp_T$ jets are produced with a large separation in rapidity (Mueller-Navelet jets). In this case the (calculable) hard part of the reaction receives large higher-order corrections , which can be accounted for in the BFKL approach with next-to-leading logarithmic accuracy, including contributions $\sim \alpha^n_s (\Delta y)^{n-1}$. We calculate several observables related with this process, using the next-to-leading order jet vertices, recently calculated in the approximation of small aperture of the jet cone in the pseudorapidity-azimuthal angle plane.

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