An alkylaromatic number process for dehydrogenation catalyst and high pressure liquid coolant, and

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[Problem to be Solved] The object of the present invention is to provide a catalyst which is highly active in dehydrogenation reaction of an alkylaromatic hydrocarbon not only in high-temperature regions (e.g. 600 to 650°C) as found in the inlet of a catalyst bed in an apparatus for the production of SM but also in low-temperature regions (e.g. under 600°C) as found in the outlet of a catalyst bed in an apparatus for the production of SM, where the temperature decreases as a result of endothermic reaction; and a process for producing the catalyst; and a dehydrogenation process using the catalyst. [Solution] The object is achieved through a catalyst for dehydrogenating an alkylaromatic hydrocarbon, the catalyst containing iron (Fe), potassium (K), and cerium (Ce), and at least one rare earth element other than cerium.