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We analyze the production and subsequent decay of the neutral MSSM Higgsbosons (h = h^0, H^0, A^0) mediated by flavor changing neutral currents (FCNC)in the LHC collider. We have computed the h-production cross-section times theFCNC branching ratio, \sigma(pp -> h -> qq') = \sigma(pp -> h) B(h -> qq'), inthe LHC focusing on the strongly-interacting FCNC sector. Here qq' is anelectrically neutral pair of quarks of different flavors, the dominant modesbeing those containing a heavy quark: tc or bs. We determine the maximumproduction rates for each of these modes and identify the relevant regions ofthe MSSM parameter space, after taking into account the severe restrictionsimposed by low energy FCNC processes. The analysis of \sigma(pp -> h -> qq')singles out regions of the MSSM parameter space different from those obtainedby maximizing only the branching ratio, due to non-trivial correlations betweenthe parameters that maximize/minimize each isolated factor. The productionrates for the bs channel can be huge for a FCNC process (0.1-1 pb), but itsdetection can be problematic. The production rates for the tc channel are moremodest (10^{-3}-10^{-2} pb), but its detection should be easier due to theclear-cut top quark signature. A few thousand tc events could be collected inthe highest luminosity phase of the LHC, with no counterpart in the SM.Comment: 25 pages, 9 figures, 2 tables, LaTeX 2e. Typos corrected. Version to  appear in JHE

Production and FCNC decay of supersymmetric Higgs bosons into heavy quarks in the LHC