Galaxy cluster cores as seen with VLT/MUSE: new strong-lensing analyses
  of RX J2129.4+0009, MS 0451.6-0305 & MACSJ2129.4-0741
  We present strong-lensing analyses of three galaxy clusters, RXJ2129.4+0009
(z=0.235), MS0451.6-0305 (z=0.55), and MACSJ2129.4-0741 (z=0.589), using the
powerful combination of Hubble Space Telescope (HST) multi-band observations,
and Multi-Unit Spectroscopic Explorer (MUSE) spectroscopy. In RXJ2129, we newly
spectroscopically confirm 15 cluster members. Our resulting mass model uses 8
multiple image systems as we include a galaxy-galaxy lensing system North-East
of the cluster, and is composed of 71 halos including one dark matter
cluster-scale halo and 2 galaxy-scale halos optimized individually. For MS0451,
we report the spectroscopic identification of 2 new systems of multiple images
in the Northern region, and 112 cluster members. Our mass model uses 16
multiple image systems, and 146 halos, including 2 large-scale halos, and 7
galaxy-scale halos independently optimized. For MACSJ2129, we report the
spectroscopic identification of one new multiple image system at z=4.41, and
newly measure spectroscopic redshifts for 4 cluster members. Our mass model
uses 14 multiple image systems, and is composed of 151 halos, including 2
large-scale halos and 4 galaxy-scale halos independently optimized. Our best
models have rms of 0.29'', 0.6'', 0.74'' in the image plane for RXJ2129,
MS0451, and MACSJ2129 respectively. This analysis presents a detailed
comparison with the existing literature showing excellent agreements, and
discuss specific studies of lensed galaxies, e.g. a group of submilimeter
galaxies at z=2.9 in MS0451, and a bright z=2.1472 red singly imaged galaxy in
MACSJ2129.
