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Greybody factors are transmission probabilities of the Hawking radiation,which are emitted from black holes and can be obtained from the gravitationalpotential of black holes. The de Rham, Gabadadze, and Tolly (dRGT) massivegravity is one of the gravity theories that modified general relativity. Inthis paper, we investigate the greybody factor from the massive scalar field inboth the asymptotically dS and the AdS spacetime using the WKB and the rigorousbound methods. We found that the greybody factor depends on the shape of thepotential as found in quantum mechanics. The higher the potential barrier, thelower the amount of the grebody factor. Interestingly, for the low multipolecase, we found that there exists a critical mass which provides the maximumbound of the greybody factor. This is a crucial feature of the massive scalarfield on the greybody factor from the black holes in both the asymptotically dSand the AdS spacetime.

Greybody factors for massive scalar field emitted from black holes in dRGT massive gravity