H$\alpha$-based Star Formation Rates in and around z $\sim$ 0.5 EDisCS
  clusters
  We investigate the role of environment on star-formation rates of galaxies at
various cosmic densities in well-studied clusters. We present the star-forming
main sequence for 163 galaxies in four EDisCS clusters in the range 0.4 $<$ z
$<$ 0.7. We use {\em Hubble Space Telescope}/Wide Field Camera 3 observations
of the H$\alpha$ emission line to span three distinct local environments: the
cluster core, infall region, and external field galaxies. The main sequence
defined from our observations is consistent with other published H$\alpha$
distributions at similar redshifts, but differs from those derived from
star-formation tracers such as 24$\mu$m. We find that the H$\alpha$-derived
star-formation rates for the 67 galaxies with stellar masses greater than the
mass-completeness limit of M$_*>$ 10$^{9.75}$M\textsubscript{\(\odot\)} show
little dependence on environment. At face value, the similarities in the
star-formation rate distributions in the three environments may indicate that
the process of finally shutting down star formation is rapid, however, the
depth of our data and size of our sample make it difficult to conclusively test
this scenario. Despite having significant H$\alpha$ emission, 21 galaxies are
classified as {\em UVJ}-quiescent and may represent a demonstration of the
quenching of star formation caught in the act.
