The massive star initial mass function of the Arches cluster

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Table 9:

Using the prescriptions of Oey & Clarke (2005) we compute $p(M_{\rm max}\vert M_{\rm up})$ , i.e. the probability of observing a maximum stellar mass $M_{\rm max}$ for a given $M_{\rm up}$ .
$\Gamma^{a}$	$M_{\rm max}$	$N ({>}10~M_{\odot})^b$	$p(M_{\rm max}\vert M_{\rm up})$	$p(M_{\rm max}\vert M_{\rm up})$	$p(M_{\rm max}\vert M_{\rm up})$	$p(M_{\rm max}\vert M_{\rm up})$
			$M_{\rm up}=200~M_{\odot}$	$M_{\rm up}=150~M_{\odot}$	$M_{\rm up}=135~M_{\odot}$	$M_{\rm up}=120~M_{\odot}$
-1.1	$120~M_{\odot}$	343	10^-5	0.006	0.06	1

^a Slope of the IMF within 0.4 pc; ^b number of stars within 0.4 pc.

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