Late-time decaying dark matter: constraints and implications for the
  $H_0$-tension
  We constrain and update the bounds on the life-time of a decaying dark matter
model with a warm massive daughter particle using the most recent low-redshift
probes. We use Supernovae Type-Ia, Baryon Acoustic Oscillations and the time
delay measurements of gravitationally lensed quasars. These data sets are
complemented by the early universe priors taken from the Cosmic Microwave
background. For the maximum allowed fraction of the relativistic daughter
particle, the updated bounds on the life-time are found to be $\tau > 9\,
\rm{Gyr}$ and $\tau >11\,\rm{Gyr}$ at $95\%$ C.L., for the two-body and
many-body decay scenarios, respectively. We also comment on the recent proposal
that the current two-body decaying dark matter model can provide resolution for
the $H_0$-tension, by contrasting against the standard $\Lambda$CDM model. We
infer that the current dark matter decaying scenario is unlikely to alleviate
the $H_0$-tension. We find that the decaying dark matter is able to reduce the
trend of the decreasing $H_0$ values with increasing lens redshifts observed in
the strong lensing dataset.
