Table 5. Open in new tab The LF and SFR...

Epoch	L*_Hα	ϕ*_Hα	α_Hα	log \|$\rho _{ L_{{\rm H}\alpha }}$\| (41.6)	log \|$\rho _{ L_{{\rm H}\alpha }}$\|	ρ_SFRHα 41.6	ρ_SFRHα (All)
0.40 ± 0.01	41.95^{+ 0.47}_{− 0.12}	− 3.12^{+ 0.10}_{− 0.34}	− 1.75^{+ 0.12}_{− 0.08}	38.99^{+ 0.19}_{− 0.22}	39.55^{+ 0.22}_{− 0.22}	0.008^{+ 0.002}_{− 0.002}	0.03^{+ 0.01}_{− 0.01}
0.84 ± 0.02	42.25^{+ 0.07}_{− 0.05}	− 2.47^{+ 0.07}_{− 0.08}	− 1.56^{+ 0.13}_{− 0.14}	39.75^{+ 0.12}_{− 0.05}	40.13^{+ 0.24}_{− 0.21}	0.040^{+ 0.007}_{− 0.006}	0.10^{+ 0.01}_{− 0.02}
1.47 ± 0.02	42.56^{+ 0.06}_{− 0.05}	− 2.61^{+ 0.08}_{− 0.09}	− 1.62^{+ 0.25}_{− 0.29}	40.03^{+ 0.08}_{− 0.07}	40.29^{+ 0.16}_{− 0.14}	0.07^{+ 0.01}_{− 0.01}	0.13^{+ 0.02}_{− 0.02}
2.23 ± 0.02	42.87^{+ 0.08}_{− 0.06}	− 2.78^{+ 0.08}_{− 0.09}	− 1.59^{+ 0.12}_{− 0.13}	40.26^{+ 0.01}_{− 0.02}	40.44^{+ 0.03}_{− 0.03}	0.13^{+ 0.01}_{− 0.01}	0.21^{+ 0.02}_{− 0.03}

Epoch

L*_Hα

ϕ*_Hα

α_Hα

log |$\rho _{ L_{{\rm H}\alpha }}$| (41.6)

log |$\rho _{ L_{{\rm H}\alpha }}$|

ρ_SFRHα 41.6

ρ_SFRHα (All)

(z)

(erg s⁻¹)

(Mpc⁻³)

(erg s⁻¹ Mpc⁻³)

(M_⊙ yr⁻¹ Mpc⁻³)

0.40 ± 0.01

41.95^{+ 0.47}_{− 0.12}

− 3.12^{+ 0.10}_{− 0.34}

− 1.75^{+ 0.12}_{− 0.08}

38.99^{+ 0.19}_{− 0.22}

39.55^{+ 0.22}_{− 0.22}

0.008^{+ 0.002}_{− 0.002}

0.03^{+ 0.01}_{− 0.01}

0.84 ± 0.02

42.25^{+ 0.07}_{− 0.05}

− 2.47^{+ 0.07}_{− 0.08}

− 1.56^{+ 0.13}_{− 0.14}

39.75^{+ 0.12}_{− 0.05}

40.13^{+ 0.24}_{− 0.21}

0.040^{+ 0.007}_{− 0.006}

0.10^{+ 0.01}_{− 0.02}

1.47 ± 0.02

42.56^{+ 0.06}_{− 0.05}

− 2.61^{+ 0.08}_{− 0.09}

− 1.62^{+ 0.25}_{− 0.29}

40.03^{+ 0.08}_{− 0.07}

40.29^{+ 0.16}_{− 0.14}

0.07^{+ 0.01}_{− 0.01}

0.13^{+ 0.02}_{− 0.02}

2.23 ± 0.02

42.87^{+ 0.08}_{− 0.06}

− 2.78^{+ 0.08}_{− 0.09}

− 1.59^{+ 0.12}_{− 0.13}

40.26^{+ 0.01}_{− 0.02}

40.44^{+ 0.03}_{− 0.03}

0.13^{+ 0.01}_{− 0.01}

0.21^{+ 0.02}_{− 0.03}

Epoch	L*_Hα	ϕ*_Hα	α_Hα	log \|$\rho _{ L_{{\rm H}\alpha }}$\| (41.6)	log \|$\rho _{ L_{{\rm H}\alpha }}$\|	ρ_SFRHα 41.6	ρ_SFRHα (All)
0.40 ± 0.01	41.95^{+ 0.47}_{− 0.12}	− 3.12^{+ 0.10}_{− 0.34}	− 1.75^{+ 0.12}_{− 0.08}	38.99^{+ 0.19}_{− 0.22}	39.55^{+ 0.22}_{− 0.22}	0.008^{+ 0.002}_{− 0.002}	0.03^{+ 0.01}_{− 0.01}
0.84 ± 0.02	42.25^{+ 0.07}_{− 0.05}	− 2.47^{+ 0.07}_{− 0.08}	− 1.56^{+ 0.13}_{− 0.14}	39.75^{+ 0.12}_{− 0.05}	40.13^{+ 0.24}_{− 0.21}	0.040^{+ 0.007}_{− 0.006}	0.10^{+ 0.01}_{− 0.02}
1.47 ± 0.02	42.56^{+ 0.06}_{− 0.05}	− 2.61^{+ 0.08}_{− 0.09}	− 1.62^{+ 0.25}_{− 0.29}	40.03^{+ 0.08}_{− 0.07}	40.29^{+ 0.16}_{− 0.14}	0.07^{+ 0.01}_{− 0.01}	0.13^{+ 0.02}_{− 0.02}
2.23 ± 0.02	42.87^{+ 0.08}_{− 0.06}	− 2.78^{+ 0.08}_{− 0.09}	− 1.59^{+ 0.12}_{− 0.13}	40.26^{+ 0.01}_{− 0.02}	40.44^{+ 0.03}_{− 0.03}	0.13^{+ 0.01}_{− 0.01}	0.21^{+ 0.02}_{− 0.03}

Table 5.

Open in new tab

The LF and SFR density evolution for 0.4 < z < 2.2, as seen through a completely self-consistent analysis using HiZELS. The measurements are obtained at z = 0.4, 0.84, 1.47 and 2.23, correcting for 1 mag extinction at Hα. Columns present the redshift, break of the LF, L*_Hα, normalization (ϕ*_Hα) and faint-end slope (α) of the Hα LF. The two right-hand columns present the SFR density at each redshift based on integrating the LF down to ≈3 M_⊙ yr⁻¹ or 41.6 (in log erg s⁻¹) and for a full integration. SFR densities include a correction for AGN contamination of 10 per cent at z = 0.4 and 0.84 (see Garn et al. 2010) and 15 per cent at both z = 1.47 and 2.23. Errors on the faint-end slope α are the 1σ deviation from the best fit, when fitting the three parameters simultaneously. As α is very well constrained at all redshifts, and shown not to evolve significantly, L*_Hα and ϕ*_Hα are obtained by fixing α = −1.6, and the 1σ errors on L*_Hα and ϕ*_Hα are derived from such fits (with fixed α).

Epoch	L*_Hα	ϕ*_Hα	α_Hα	log \|$\rho _{ L_{{\rm H}\alpha }}$\| (41.6)	log \|$\rho _{ L_{{\rm H}\alpha }}$\|	ρ_SFRHα 41.6	ρ_SFRHα (All)
(z)	(erg s⁻¹)	(Mpc⁻³)		(erg s⁻¹ Mpc⁻³)	(erg s⁻¹ Mpc⁻³)	(M_⊙ yr⁻¹ Mpc⁻³)	(M_⊙ yr⁻¹ Mpc⁻³)
0.40 ± 0.01	41.95^{+ 0.47}_{− 0.12}	− 3.12^{+ 0.10}_{− 0.34}	− 1.75^{+ 0.12}_{− 0.08}	38.99^{+ 0.19}_{− 0.22}	39.55^{+ 0.22}_{− 0.22}	0.008^{+ 0.002}_{− 0.002}	0.03^{+ 0.01}_{− 0.01}
0.84 ± 0.02	42.25^{+ 0.07}_{− 0.05}	− 2.47^{+ 0.07}_{− 0.08}	− 1.56^{+ 0.13}_{− 0.14}	39.75^{+ 0.12}_{− 0.05}	40.13^{+ 0.24}_{− 0.21}	0.040^{+ 0.007}_{− 0.006}	0.10^{+ 0.01}_{− 0.02}
1.47 ± 0.02	42.56^{+ 0.06}_{− 0.05}	− 2.61^{+ 0.08}_{− 0.09}	− 1.62^{+ 0.25}_{− 0.29}	40.03^{+ 0.08}_{− 0.07}	40.29^{+ 0.16}_{− 0.14}	0.07^{+ 0.01}_{− 0.01}	0.13^{+ 0.02}_{− 0.02}
2.23 ± 0.02	42.87^{+ 0.08}_{− 0.06}	− 2.78^{+ 0.08}_{− 0.09}	− 1.59^{+ 0.12}_{− 0.13}	40.26^{+ 0.01}_{− 0.02}	40.44^{+ 0.03}_{− 0.03}	0.13^{+ 0.01}_{− 0.01}	0.21^{+ 0.02}_{− 0.03}

Epoch	L*_Hα	ϕ*_Hα	α_Hα	log \|$\rho _{ L_{{\rm H}\alpha }}$\| (41.6)	log \|$\rho _{ L_{{\rm H}\alpha }}$\|	ρ_SFRHα 41.6	ρ_SFRHα (All)
(z)	(erg s⁻¹)	(Mpc⁻³)		(erg s⁻¹ Mpc⁻³)	(erg s⁻¹ Mpc⁻³)	(M_⊙ yr⁻¹ Mpc⁻³)	(M_⊙ yr⁻¹ Mpc⁻³)
0.40 ± 0.01	41.95^{+ 0.47}_{− 0.12}	− 3.12^{+ 0.10}_{− 0.34}	− 1.75^{+ 0.12}_{− 0.08}	38.99^{+ 0.19}_{− 0.22}	39.55^{+ 0.22}_{− 0.22}	0.008^{+ 0.002}_{− 0.002}	0.03^{+ 0.01}_{− 0.01}
0.84 ± 0.02	42.25^{+ 0.07}_{− 0.05}	− 2.47^{+ 0.07}_{− 0.08}	− 1.56^{+ 0.13}_{− 0.14}	39.75^{+ 0.12}_{− 0.05}	40.13^{+ 0.24}_{− 0.21}	0.040^{+ 0.007}_{− 0.006}	0.10^{+ 0.01}_{− 0.02}
1.47 ± 0.02	42.56^{+ 0.06}_{− 0.05}	− 2.61^{+ 0.08}_{− 0.09}	− 1.62^{+ 0.25}_{− 0.29}	40.03^{+ 0.08}_{− 0.07}	40.29^{+ 0.16}_{− 0.14}	0.07^{+ 0.01}_{− 0.01}	0.13^{+ 0.02}_{− 0.02}
2.23 ± 0.02	42.87^{+ 0.08}_{− 0.06}	− 2.78^{+ 0.08}_{− 0.09}	− 1.59^{+ 0.12}_{− 0.13}	40.26^{+ 0.01}_{− 0.02}	40.44^{+ 0.03}_{− 0.03}	0.13^{+ 0.01}_{− 0.01}	0.21^{+ 0.02}_{− 0.03}

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