We discuss diffractive production of open charm and bottom mesons at the LHC. The differential cross sections for single- and central-diffractive mechanisms for and pair production are calculated in the framework of the Ingelman-Schlein model corrected for absorption effects. The LO gluon-gluon fusion and quark-antiquark anihilation partonic subprocesses are taken into consideration, which are calculated within standard collinear approximation. The extra corrections from reggeon exchanges are taken into account. The hadronization of charm and bottom quarks is taken into account by means of fragmentation functions. Predictions for single- and central-diffractive production in the case of and mesons, as well as pairs are presented, including detector acceptance of the ATLAS, CMS and LHCb Collaborations.

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