Decay of massive scalar hair in the background of a dilaton gravity black hole

We investigate analytically both the intermediate and late-time behavior of the massive scalar field in the background of the static spherically symmetric black hole solution in dilaton gravity with an arbitrary coupling constant. The intermediate asymptotic behavior of the scalar field depends on the field's parameter mass as well as the multiple number l. On its turn, the late-time behavior has the power-law decay rate independent on the coupling constant in the theory under consideration.