SEMPER - I. A novel semi-empirical model for the radio emission of star-forming galaxies at 0 < z < 5

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Volume 697 (May 2025)

A&A, 697 (2025) A81

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Table A.1.

List of the parameters obtained by fitting the double power-law profile to W23 SMFs data.

z-bin	α	logΦ₁	log M	β
		[Mpc⁻³ dex⁻¹]	[M_⊙]
0.0 ≤ z ≤ 0.08	$- 0 . 39_{- 0.02}^{+ 0.02}$ $-0.39^{+0.02}_{-0.02}$ [−0.39]	$3 . 09_{- 0.05}^{+ 0.04}$ $3.09_{-0.05}^{+0.04}$ [3.09]	$10 . 55_{- 0.02}^{+ 0.02}$ $10.55_{-0.02}^{+0.02}$ [10.55]	$1 . 2_{- 0.2}^{+ 0.2}$ $1.2_{-0.2}^{+0.2}$ [1.2]
0.2 < z ≤ 0.5	$- 0 . 55_{- 0.03}^{+ 0.03}$ $-0.55^{+0.03}_{-0.03}$ [−0.55]	$3 . 02_{- 0.07}^{+ 0.06}$ $3.02_{-0.07}^{+0.06}$ [3.01]	$11 . 19_{- 0.04}^{+ 0.04}$ $11.19_{-0.04}^{+0.04}$ [11.18]	$1 . 84_{- 0.57}^{+ 0.69}$ $1.84_{-0.57}^{+0.69}$ [1.8]
0.5 < z ≤ 0.8	$- 0 . 56_{- 0.02}^{+ 0.02}$ $-0.56^{+0.02}_{-0.02}$ [−0.56]	$3 . 03_{- 0.06}^{+ 0.05}$ $3.03_{-0.06}^{+0.05}$ [3.03]	$11 . 18_{- 0.03}^{+ 0.03}$ $11.18_{-0.03}^{+0.03}$ [11.18]	$2 . 1_{- 0.4}^{+ 0.5}$ $2.1_{-0.4}^{+0.5}$ [2.1]
0.8 < z ≤ 1.1	$- 0 . 59_{- 0.02}^{+ 0.02}$ $-0.59^{+0.02}_{-0.02}$ [−0.59]	$2 . 99_{- 0.05}^{+ 0.05}$ $2.99_{-0.05}^{+0.05}$ [2.99]	$11 . 24_{- 0.03}^{+ 0.03}$ $11.24_{-0.03}^{+0.03}$ [11.24]	$2 . 2_{- 0.4}^{+ 0.4}$ $2.2_{-0.4}^{+0.4}$ [2.2]
1.1 < z ≤ 1.5	$- 0 . 59_{- 0.03}^{+ 0.03}$ $-0.59^{+0.03}_{-0.03}$ [−0.59]	$3 . 02_{- 0.07}^{+ 0.07}$ $3.02_{-0.07}^{+0.07}$ [3.01]	$11 . 21_{- 0.03}^{+ 0.03}$ $11.21_{-0.03}^{+0.03}$ [11.21]	$1 . 3_{- 0.3}^{+ 0.3}$ $1.3_{-0.3}^{+0.3}$ [1.3]
1.5 < z ≤ 2.0	$- 0 . 52_{- 0.02}^{+ 0.02}$ $-0.52^{+0.02}_{-0.02}$ [−0.52]	$3 . 35_{- 0.05}^{+ 0.05}$ $3.35_{-0.05}^{+0.05}$ [3.35]	$11 . 23_{- 0.04}^{+ 0.04}$ $11.23_{-0.04}^{+0.04}$ [11.22]	$2 . 40_{- 0.4}^{+ 0.5}$ $2.40_{-0.4}^{+0.5}$ [2.4]
2.0 < z ≤ 2.5	$- 0 . 46_{- 0.04}^{+ 0.03}$ $-0.46^{+0.03}_{-0.04}$ [−0.46]	$3 . 52_{- 0.08}^{+ 0.08}$ $3.52_{-0.08}^{+0.08}$ [3.52]	$11 . 12_{- 0.06}^{+ 0.06}$ $11.12_{-0.06}^{+0.06}$ [11.12]	$2 . 1_{- 0.6}^{+ 0.7}$ $2.1_{-0.6}^{+0.7}$ [2.1]
2.5 < z ≤ 3.0	−0.46	$3 . 33_{- 0.05}^{+ 0.05}$ $3.33_{-0.05}^{+0.05}$ [3.33]	$10 . 87_{- 0.05}^{+ 0.05}$ $10.87_{-0.05}^{+0.05}$ [10.86]	$1 . 1_{- 0.2}^{+ 0.3}$ $1.1_{-0.2}^{+0.3}$ [1.1]
3.0 < z ≤ 3.5	−0.46	$3 . 36_{- 0.07}^{+ 0.07}$ $3.36_{-0.07}^{+0.07}$ [3.36]	$10 . 75_{- 0.07}^{+ 0.07}$ $10.75_{-0.07}^{+0.07}$ [10.74]	$0 . 6_{- 0.2}^{+ 0.2}$ $0.6_{-0.2}^{+0.2}$ [0.6]
3.5 < z ≤ 4.5	−0.46	3.36	$10 . 40_{- 0.03}^{+ 0.03}$ $10.40_{-0.03}^{+0.03}$ [10.39]	$0 . 6_{- 0.1}^{+ 0.1}$ $0.6_{-0.1}^{+0.1}$ [0.6]
4.5 < z ≤ 5.5	−0.46	3.36	$10 . 08_{- 0.05}^{+ 0.04}$ $10.08_{-0.05}^{+0.04}$ [10.08]	$0 . 5_{- 0.1}^{+ 0.1}$ $0.5_{-0.1}^{+0.1}$ [0.5]

Notes. Solutions derived from the median posterior distribution are shown with 1σ uncertainty. Maximum likelihood values are reported in square brackets. The second power-law normalisation is fixed (logΦ₂ = 3.5) for all redshift bins.

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