QSO MUSEUM - III. The circumgalactic medium in the Lyα emission around 120 z ∼ 3 quasars covering the SDSS parameter space. Witnessing the instantaneous active galactic nucleus feedback on halo scales

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Volume 707 (March 2026)

A&A, 707 (2026) A380

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Table 1.

Best parameters of the MCMC fits to the median radial profiles of Lyα SB and the velocity dispersion for different quasar luminosity bins.

Peak Lyα luminosity density bins
Median	# Profiles^(a)	SB profile power law fit			SB profile exponential fit			Velocity dispersion power law fit
Median
$log (L_{Ly α ; peak}^{QSO} / L_{⊙})$ $Mathematical equation: $ \log(L_\mathrm{{Ly}\alpha;\rm{peak}}^\mathrm{{QSO}}/\mathrm{L_\odot}) $$		logSB₀^(b)	α	RMSD^(c)	logSB₀^(b)	R_h^(d)	RMSD^(c)	logσ₅₀^(e)	β	RMSD^(c)

42.38	20	−11.65 ± 0.58	−1.88 ± 0.31	0.39	−14.65±0.11	73.78±14.80	0.99	2.22±0.09	−1.61 ± 1.11	1.83
42.64	23	−11.18 ± 0.32	−1.94 ± 0.17	1.03	−14.08±0.06	47.89±4.38	0.73	1.34±0.16	−1.96 ± 1.33	1.75
42.93	16	−10.65 ± 0.23	−2.11 ± 0.13	1.02	−13.82±0.04	46.02±2.83	0.89	2.42±0.11	−0.90±0.28	0.76
43.29	9	−11.19 ± 0.16	−1.74 ± 0.09	1.19	−13.92±0.03	68.96±3.42	1.21	2.55±0.11	−0.87±0.25	0.48
43.55	23	−10.62 ± 0.06	−1.91 ± 0.03	4.99	−13.57±0.01	57.61±1.03	4.12	2.77±0.09	−1.2±0.25	1.11
43.89	29	−9.58 ± 0.04	−2.37 ± 0.02	4.73	−13.39±0.01	67.19±0.61	22.93	2.87±0.13	1.23±0.37	0.31

Bolometric luminosity bins

Median	# Profiles^(a)	SB profile power law fit			SB profile exponential fit			Velocity dispersion profile power law it
Median
log(L_bol/L_⊙)		logSB₀^(b)	α	RMSD^(c)	logSB₀^(b)	R_h^(d)	RMSD^(c)	logσ₅₀^(e)	β	RMSD^(c)

45.28	8	−10.83 ± 1.46	−2.28 ± 0.83	0.20	−14.54±0.36	85.48±62.75	1.43	2.15±0.06	−0.63±0.4	0.24
45.95	31	−10.92 ± 0.27	−2.09 ± 0.15	1.12	−14.02±0.05	42.95±3.06	0.68	2.29±1.15	−1.0±0.67	1.14
46.34	21	−11.17 ± 0.22	−1.897 ± 0.12	1.26	−14.04±0.05	51.4±3.29	0.70	2.43±0.11	−1.03±0.28	0.40
47.2	31	−10.27 ± 0.06	−2.08 ± 0.03	2.27	−13.55±0.01	56.66±0.86	5.48	2.71±0.1	−1.0±0.23	0.28
47.53	28	−10.13 ± 0.08	−2.15 ± 0.04	1.22	−13.58±0.02	60.58±1.34	5.29	2.78±0.11	−1.02±0.19	3.01

Other bins

	# Profiles^(a)	SB power law			SB exponential			Velocity dispersion power law

Bin		logSB₀^(b)	α	RMSD^(c)	logSB₀^(b)	R_h^(d)	RMSD^(c)	logσ₅₀^(e)	β	RMSD^(c)

Stack ND^(f)	10	−12.32±0.19	−1.57±0.1	1.9	−14.63±0.04	56.33±3.65	1.3	–	–	–
A2	21	−11.13±0.24	−1.93±0.13	1.2	−14.00±0.05	47.78±3.24	0.6	2.42±0.13	−1.25±0.54	0.73
A3	19	−9.84±0.08	−2.25±0.04	1.3	−13.35±0.02	50.47±1.04	4.6	2.77±0.1	−1.12±0.22	0.29

Notes. The top section shows bins in median peak Lyα luminosity density $log (L_{Ly α ; peak}^{QSO} / L_{⊙})$ $Mathematical equation: $ \log(L^\mathrm{{QSO}}_\mathrm{{Ly}\alpha;peak}/\mathrm{L_\odot}) $$ . The middle section shows median bolometric luminosity log(L_bol/L_⊙) bins. The bottom section lists bins A2, A3 defined in Section 4.1.1 and the stacked nondetections Section 3.4). Each section shows the parameters obtained to fit the SB profiles and velocity dispersion profiles. The SB profiles are fit, after correcting for cosmological dimming and in comoving units, with both a power-law and exponential model of the form SB_Lyα(1 + z)⁴ = SB₀ × r^α and SB_Lyα(r) = SB₀ × e^−(r/R_h), respectively. While the median velocity dispersion profiles are fit with a power law of form σ = σ₅₀(r/50 ckpc)^β (see Section 4.1.2).

^(a)

Number of individual profiles within bin.

^(b)

SB₀ in units of erg s⁻¹ cm⁻² arcsec⁻².

^(c)

RMSD = Root mean square deviation between the fit and the profile.

^(d)

R_h in units of kpc.

^(e)

σ₅₀ in units of km s⁻¹.

^(f)

ND = nondetections

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