  Supernova properties in radio strongly depend on their circumstellar
environment and they are an important probe to investigate the mass loss of
supernova progenitors. Recently, core-collapse supernova observations in radio
have been assembled and the rise time and peak luminosity distribution of
core-collapse supernovae at 8.4 GHz has been estimated. In this paper, we
constrain the mass-loss prescriptions for red supergiants by using the rise
time and peak luminosity distribution of Type II supernovae in radio. We take
the de Jager and van Loon mass-loss rates for red supergiants, calculate the
rise time and peak luminosity distribution based on them, and compare the
results with the observed distribution. We found that the de Jager mass-loss
rate explains the widely spread radio rise time and peak luminosity
distribution of Type II supernovae well, while the van Loon mass-loss rate
predicts a relatively narrow range for the rise time and peak luminosity. We
conclude that the mass-loss prescriptions of red supergiants should have strong
dependence on the luminosity as in the de Jager mass-loss rate to reproduce the
widely spread distribution of the rise time and peak luminosity in radio
observed in Type II supernovae.
