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Production of Triply Heavy Baryons at LHC

Triply heavy baryons are very interesting hadrons to be explored for they provide particular information about strong interactions, hadron structures, and weak decays of heavy baryons. We calculate the hadronic production cross sections of the Ω_{ccc} and the Ω_{ccb}, which are dominated by the gg fusion subprocesses containing 4362 and 1454 Feynman diagrams, respectively. A method for generating and calculating tree level Feynman diagrams automatically is developed to deal with complicated processes containing so many diagrams. Our results show that 10^4-10^5 events of triply heavy baryons can be accumulated for 10 fb^{-1} integrated luminosity at LHC. Signatures of the triply heavy baryons are pointed out, with emphasis on the decay modes Ω_{ccc} -> Ω_{sss} + 3 π^+ and Ω_{ccb} -> Ω_{sss} + 3 π^+ +π^-. We conclude that it is quite promising to discover them at LHC.