Constraints on dynamically formed massive black holes in little red dots from X-ray non-detections

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Table 1.

Parameters used in the scaling laws (Eq. 1) to estimate the stellar mass of the galaxies.

z	a	b	Intrinsic	Reference
(1)	(2)	(3)	(4)	(5)
3	$- 0 . 41_{- 0.10}^{+ 0.10}$ $Mathematical equation: $ -0.41^{+0.10}_{-0.10} $$	$+ 1 . 200_{- 0.2}^{+ 0.2}$ $Mathematical equation: $ +1.200^{+0.2}_{-0.2} $$	0.30 dex	Lee et al. (2012)
4	$- 0 . 54_{- 0.07}^{+ 0.07}$ $Mathematical equation: $ -0.54^{+0.07}_{-0.07} $$	$- 1 . 700_{- 0.3}^{+ 0.3}$ $Mathematical equation: $ -1.700^{+0.3}_{-0.3} $$	0.53 dex	Song et al. (2016)
5	$- 0 . 50_{- 0.07}^{+ 0.07}$ $Mathematical equation: $ -0.50^{+0.07}_{-0.07} $$	$- 0 . 900_{- 0.3}^{+ 0.3}$ $Mathematical equation: $ -0.900^{+0.3}_{-0.3} $$	0.42 dex	Song et al. (2016)
6	$- 0 . 57_{- 0.05}^{+ 0.05}$ $Mathematical equation: $ -0.57^{+0.05}_{-0.05} $$	$- 1 . 064_{- 0.2}^{+ 0.2}$ $Mathematical equation: $ -1.064^{+0.2}_{-0.2} $$	0.30 dex	Stefanon et al. (2021)
7	$- 0 . 49_{- 0.05}^{+ 0.05}$ $Mathematical equation: $ -0.49^{+0.05}_{-0.05} $$	$- 1 . 056_{- 0.2}^{+ 0.2}$ $Mathematical equation: $ -1.056^{+0.2}_{-0.2} $$	0.30 dex	Stefanon et al. (2021)
8	$- 0 . 49_{- 0.05}^{+ 0.05}$ $Mathematical equation: $ -0.49^{+0.05}_{-0.05} $$	$- 1 . 047_{- 0.2}^{+ 0.2}$ $Mathematical equation: $ -1.047^{+0.2}_{-0.2} $$	0.30 dex	Stefanon et al. (2021)
9	$- 0 . 46_{- 0.05}^{+ 0.05}$ $Mathematical equation: $ -0.46^{+0.05}_{-0.05} $$	$- 1 . 028_{- 0.2}^{+ 0.2}$ $Mathematical equation: $ -1.028^{+0.2}_{-0.2} $$	0.30 dex	Stefanon et al. (2021)
10^a	$- 0 . 46_{- 0.05}^{+ 0.05}$ $Mathematical equation: $ -0.46^{+0.05}_{-0.05} $$	$- 1 . 023_{- 0.2}^{+ 0.2}$ $Mathematical equation: $ -1.023^{+0.2}_{-0.2} $$	0.30 dex	Stefanon et al. (2021)

Notes. (1) Redshift range z, (2) slope of the correlation a, (3) intercept coefficient b, (4) intrinsic scatter, and (5) reference for the values adopted here. As there is no published correlation for redshift 11, we used the same as for z = 10 in Stefanon et al. (2021).

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