Semiempirical constraints on the HI mass function of star-forming galaxies and ΩHI at z∼ 0.37 from interferometric surveys

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Table 3.

Numerical results for the best-fitting parameters to the HIMF using a Schechter model, as in Eq. (3), for the results from this work and from different literature results.

Survey	z	${log}_{10} (\tilde{M} / M_{⊙})$ $\log_{10}(\tilde{M}/\mathrm{M}_{\odot})$	α	${log}_{10} (\tilde{Φ} / {Mpc}^{- 3})$ $\log_{10}(\tilde{\Phi}/\mathrm{Mpc}^{-3})$	Ω_HI × 10⁻⁴	Reference
ALFALFA.100	0	9.93 ± 0.01 ± 0.005	−1.25 ± 0.02 ± 0.1	−2.28 ± 0.02 ± 0.07	3.90 ± 0.10	1
MIGHTEE 1/V_max^5S_lim	0.04	$10 . 04_{- 0.24}^{+ 0.24}$ $10.04^{+0.24}_{-0.24}$	$- 1 . 29_{- 0.26}^{+ 0.37}$ $-1.29^{+0.37}_{-0.26}$	$- 2 . 29_{- 0.36}^{+ 0.32}$ $-2.29^{+0.32}_{-0.36}$	$5 . 26_{- 0.95}^{+ 0.91}$ $5.26^{+0.91}_{-0.95}$	2
MIGHTEE 1/V_max^8S_lim	0.04	$10 . 07_{- 0.24}^{+ 0.22}$ $10.07^{+0.22}_{-0.24}$	$- 1 . 40_{- 0.24}^{+ 0.42}$ $-1.40^{+0.42}_{-0.24}$	$- 2 . 31_{- 0.38}^{+ 0.35}$ $-2.31^{+0.35}_{-0.38}$	-	2
MIGHTEE MML	0.04	$10 . 19_{- 0.13}^{+ 0.10}$ $10.19^{+0.10}_{-0.13}$	$- 1 . 44_{- 0.10}^{+ 0.13}$ $-1.44^{+0.13}_{-0.10}$	$- 2 . 47_{- 0.14}^{+ 0.19}$ $-2.47^{+0.19}_{-0.14}$	$6 . 08_{- 0.30}^{+ 0.30}$ $6.08^{+0.30}_{-0.30}$	2
AUDS	0.16	10.14 ± 0.09	−1.37 ± 0.05	−2.55 ± 0.01	3.55 ± 0.29	3
BUDHIES	0.2	$9 . 77_{- 0.04}^{+ 0.16}$ $9.77^{+0.16}_{-0.04}$	−1.49 ± 0.48	−2.25 ± 0.03	4.10 ± 4.43	4
HI int. mapping	0.32	$9 . 46_{- 0.31}^{+ 0.38}$ $9.46^{+0.38}_{-0.31}$	$- 1 . 29_{- 0.39}^{+ 0.36}$ $-1.29^{+0.36}_{-0.39}$	$- 1 . 80_{- 0.72}^{+ 0.65}$ $-1.80^{+0.65}_{-0.72}$	$4 . 13_{- 1.58}^{+ 5.55}$ $4.13^{+5.55}_{-1.58}$	5

Combined (poly.)	0.37	$10 . 16_{- 0.08}^{+ 0.08}$ $10.16^{+0.08}_{-0.08}$	$- 1 . 48_{- 0.09}^{+ 0.10}$ $-1.48^{+0.10}_{-0.09}$	$- 2 . 41_{- 0.13}^{+ 0.12}$ $-2.41^{+0.12}_{-0.13}$	$7 . 02_{- 0.52}^{+ 0.59}$ $7.02^{+0.59}_{-0.52}$	This work
Combined (linear)	0.37	$10 . 13_{- 0.09}^{+ 0.09}$ $10.13^{+0.09}_{-0.09}$	$- 1 . 56_{- 0.13}^{+ 0.14}$ $-1.56^{+0.14}_{-0.13}$	$- 2 . 31_{- 0.17}^{+ 0.15}$ $-2.31^{+0.15}_{-0.17}$	$9 . 98_{- 1.12}^{+ 1.78}$ $9.98^{+1.78}_{-1.12}$	This work

Notes. The first column reports the surveys the results refer to; the second column reports the median redshift at which the HIMF has been measured; the third, fourth and fifth columns report the best-fitting values for the ${log}_{10} (\tilde{M} / M_{⊙})$ $\log_{10}(\tilde{M}/\mathrm{M}_{\odot})$ , α, and ${log}_{10} (\tilde{Φ} / {Mpc}^{- 3})$ $\log_{10}(\tilde{\Phi}/\mathrm{Mpc}^{-3})$ ; the sixth column reports the inferred value for Ω_HI; the seventh column displays the reference presenting the results.

(1) Jones et al. (2018); (2) Ponomareva et al. (2023); (3) Hoppmann et al. (2015); (4) Gogate (2022); (5) Paul et al. (2023).

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