  In this paper, we analytically study the superradiant stability of
Schwarzschild-f(R) black holes under charged massive scalar perturbation. Using
an analytic method based on Descartes' rule of signs, we extend previous
methods developed for higher-dimensional Reissner-Nordstrom black holes to the
Schwarzschild-f(R) black hole cases. Our results show that Schwarzschild-f(R)
black holes are superradiantly stable under charged massive scalar
perturbation, implying the absence of the black hole bomb effect.
