Table 3: Luminosity function parameters and estimated absolute K band luminosities and mass-to-light ratios. Column 2: indicative radius within which the LF and the M/L ratio are measured; Col. 3: original passband in which the LF is measured; Col. 4: LF characteristic magnitude M* as measured in the original passband, Col. 5: M*k-corrected to the restframe $K_{\rm s}$ band ( F160W was previously corrected to $K_{\rm s}$ band by a factor -0.5); Col. 6: LF faint end slope $\alpha $ (note that for Cl0910 $\alpha $ is unconstrained, and the error on M* for this cluster is estimated assuming that $-1.4< \alpha <-0.4 $); Col. 7: the total restframe $K_{\rm s}$luminosity within the effective area listed in Col. 6 of Table 2; Col. 8: the restframe $K_{\rm s}$ band mass-to-light ratio (the errors come from the errors on the projected mass and on the total luminosity). Note that for Cl1252 we report the total luminosity and the M/L ratio derived from both the LFs from this work and from T04 (first and second value respectively).
Cluster r Passband $M^{*}_{\rm obs}$ $K^{*}_{\rm rest}$ $\alpha $ $L_{K_{\rm s},<r}$ $(M/L)_{K_{\rm s},<r}$
  kpc   AB mag AB mag   $10^{12}~ L_{\odot}$ $M_{\odot} / L_{\odot}$
RDCS J0910+5422 600 $K_{\rm s}$ $\rm 20.4^{+1.2}_{-1.1}$ -23.27 -0.85 $\rm 10^{+8}_{-1}$ $\rm 40^{+20}_{-30}$
RDCS J1252.9-2927 500 $K_{\rm s}$ $\rm 20.1^{+1.1}_{-1.2}$ -23.89 $\rm -0.95^{+0.35}_{-0.35}$ $ 18^{+5}_{-6} \div 14^{+3}_{-3}$ $\rm 13^{+5}_{-5} \div 16^{+5}_{-5}$
RX J0848+4453 400 F160W ($\simeq$H) $\rm 20.8^{+1}_{-1.6}$ $ \rm -23.76^{+1}_{-1.6}$ $\rm -1.15^{+0.4}_{-0.3}$ $ \rm 4^{+2}_{-1}$ $\rm 35^{+25}_{-30}$
composite LF - $K_{\rm s}$ $\rm 20.5^{+0.4}_{-1}$ $\rm -23.41^{+0.4}_{-1}$ $\rm -1.0^{+0.2}_{-0.3}$ - -


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