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Mass and Light distributions in Clusters of Galaxies - Henry A ...

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<strong>Mass</strong> <strong>and</strong> <strong>Light</strong> <strong>of</strong> A1703, A370 & RXJ1347-11<br />

redshift <strong>distributions</strong> <strong>of</strong> the green (th<strong>in</strong> solid l<strong>in</strong>e), red (thick solid l<strong>in</strong>e), blue<br />

(dashed l<strong>in</strong>e) <strong>and</strong> foreground (dash-dotted l<strong>in</strong>e), samples selected to match<br />

A370 samples us<strong>in</strong>g COSMOS are displayed <strong>in</strong> Fig. 3.5 (bottom). The results<br />

for each sample us<strong>in</strong>g SDF or COSMOS are summarized <strong>in</strong> table 3.2.<br />

Although SDF is deeper, COSMOS redshifts are based on more b<strong>and</strong>s<br />

over a wider spectral range. However, as stated <strong>in</strong> Ilbert et al. (2009), COS-<br />

MOS photo-z’s are reliable only to a magnitude <strong>of</strong> i ′ < 25, which is below<br />

our magnitude cut<strong>of</strong>f for the sample selection. We therefore make sure to<br />

limit our redshift estimation for the green sample to z < 3, to avoid mistakenly<br />

<strong>in</strong>clud<strong>in</strong>g high-z dropouts that lie above the cluster <strong>in</strong> CC due to<br />

slight photometric <strong>of</strong>fsets or unreliable photo-z’s. Note we are only <strong>in</strong>terested<br />

<strong>in</strong> the mean D ds /D s <strong>of</strong> background objects, <strong>and</strong> therefore estimate<br />

the depth <strong>of</strong> background galaxies present <strong>in</strong> the green sample <strong>in</strong> the range<br />

z cluster < z < 3. Overall, the redshift <strong>distributions</strong> <strong>of</strong> both field surveys look<br />

quite similar, <strong>and</strong> there is good agreement between values derived with either<br />

SDF or COSMOS, to ∼ 10% level <strong>in</strong> the depth, which can be due to the<br />

differences mentioned above. These depth values will be used later to correct<br />

the lens<strong>in</strong>g signal (see § 3.7).<br />

Importantly, this redshift analysis <strong>in</strong>dependently supports our assessment<br />

<strong>in</strong> both sections 3.3 & 3.4 that the various regions <strong>of</strong> the CC space correspond<br />

to differ<strong>in</strong>g populations. In particular the foreground population isolated <strong>in</strong><br />

the center <strong>of</strong> the CC diagram (shown <strong>in</strong> Fig. 3.3, magenta po<strong>in</strong>ts, whose<br />

redshift distribution is shown <strong>in</strong> Fig. 3.5, magenta dotted-dashed curve) corresponds<br />

to predom<strong>in</strong>antly low redshift galaxies ¯z ≃ 0.4, most <strong>of</strong> which are <strong>in</strong><br />

the foreground <strong>of</strong> the clusters exam<strong>in</strong>ed here, or at such low redshift beh<strong>in</strong>d<br />

the cluster that the lens<strong>in</strong>g signal is small by virtue <strong>of</strong> the small separation,<br />

D ds , between the lens <strong>and</strong> the source. In contrast, the red <strong>and</strong> blue populations<br />

are much more distant ly<strong>in</strong>g well beh<strong>in</strong>d our clusters, support<strong>in</strong>g<br />

our conclusion that the cont<strong>in</strong>uously ris<strong>in</strong>g WL signal <strong>of</strong> these populations is<br />

not significantly contam<strong>in</strong>ated by cluster members. This also <strong>in</strong>dicates that<br />

the predicted level <strong>of</strong> unlensed foreground galaxies is negligible for the red<br />

sample, as expected, <strong>and</strong> with only a possible ∼ 10% dilution <strong>in</strong> the blue.<br />

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