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We consider within QCD collinear factorization the inclusive process $p+p\toh_1+h_2+X$, where the pair of identified hadrons, $h_1,h_2$, having largetransverse momenta is produced in high-energy proton-proton collisions. Inparticular, we concentrate on the kinematics where the two identified hadronsin the final state are separated by a large interval of rapidity $\Delta y$. Inthis case the (calculable) hard part of the reaction receives large higherorder corrections $\sim \alpha^n_s \Delta y^n$. We provide a theoretical inputfor the resummation of such contributions with next-to-leading logarithmicaccuracy (NLA) in the BFKL approach. Specifically, we calculate in NLA thevertex (impact-factor) for the inclusive production of the identified hadron.This process has much in common with the widely discussed Mueller-Navelet jetsproduction and can be also used to access the BFKL dynamics at protoncolliders. Another application of the obtained identified-hadron vertex couldbe the NLA BFKL description of inclusive forward hadron production in DIS.

Inclusive production of a pair of hadrons separated by a large interval of rapidity in proton collisions