Table 4. Open in new tab We show the...

Redshift range	z	Absolute magnitude range	M_i(z = 2)	Best r₀	χ²	p-value	ξ₂₀	b	M_DM × 10¹² h⁻¹ M_⊙
0.3 < z < 0.8	0.53	−23.5 < Mi < −22.3	−23.06	\|$4.2^{+0.65}_{-0.8}$\|	11.96	0.29	0.18 ± 0.06	−	−
0.8 < z < 1.4	0.99	−23.5 < Mi < −22.3	−23.18	\|$5.65^{+1.0}_{-1.2}$\|	5.95	0.82	0.39 ± 0.11	1.79 ± 0.29	\|$3.60_{- 2.19}^{+ 3.54}$\|
0.3 < z < 0.8	0.63	−24.5 < Mi < −23.5	−23.93	\|$4.05^{+0.8}_{-1.05}$\|	8.7	0.56	0.25 ± 0.08	1.13 ± 0.21	\|$0.71_{- 0.62}^{+ 1.60}$\|
0.8 < z < 1.4	1.10	−24.5 < Mi < −23.5	−24.04	\|$5.65^{+0.7}_{-0.8}$\|	8.91	0.54	0.29 ± 0.08	1.58 ± 0.24	\|$1.40_{- 0.90}^{+ 1.55}$\|
1.4 < z < 1.9	1.61	−24.5 < Mi < −23.5	−24.15	\|$7.1^{+0.8}_{-0.9}$\|	10.77	0.38	0.40 ± 0.10	2.39 ± 0.33	\|$2.87_{- 1.43}^{+ 2.08}$\|
1.9 < z < 2.9	2.02	−24.5 < Mi < −23.5	−24.31	\|$9.1^{+2.7}_{-3.65}$\|	9.26	0.51	1.08 ± 0.43	4.79 ± 0.96	\|$17.17_{- 9.23}^{+13.35}$\|
0.3 < z < 0.8	0.69	−25.5 < Mi < −24.5	−24.84	\|$4.4^{+1.5}_{-2.1}$\|	13.0	0.22	0.37 ± 0.15	1.51 ± 0.34	\|$3.62_{- 2.92}^{+ 6.18}$\|
0.8 < z < 1.4	1.07	−25.5 < Mi < −24.5	−25.09	\|$4.3^{+0.7}_{-0.75}$\|	13.98	0.17	0.21 ± 0.06	1.29 ± 0.21	\|$0.42_{- 0.33}^{+ 0.72}$\|
1.4 < z < 1.9	1.65	−25.5 < Mi < −24.5	−24.99	\|$5.6^{+0.7}_{-0.85}$\|	8.84	0.55	0.36 ± 0.08	2.28 ± 0.27	\|$2.10_{- 0.96}^{+ 1.35}$\|
1.9 < z < 2.9	2.11	−25.5 < Mi < −24.5	−25.07	\|$6.55^{+0.95}_{-1.1}$\|	5.52	0.85	0.33 ± 0.11	2.60 ± 0.44	\|$1.36_{- 0.81}^{+ 1.33}$\|
0.8 < z < 1.4	1.21	−28.5 < Mi < −25.5	−25.94	\|$5.85^{+0.6}_{-0.6}$\|	9.08	0.52	0.34 ± 0.07	1.84 ± 0.21	\|$2.27_{- 1.06}^{+ 1.52}$\|
1.4 < z < 1.9	1.67	−28.5 < Mi < −25.5	−26.27	\|$5.85^{+0.35}_{-0.4}$\|	16.98	0.07	0.37 ± 0.04	2.35 ± 0.15	\|$2.28_{- 0.59}^{+ 0.71}$\|
1.9 < z < 2.9	2.19	−28.5 < Mi < −25.5	−26.58	\|$6.2^{+0.45}_{-0.5}$\|	7.63	0.67	0.39 ± 0.05	2.91 ± 0.20	\|$1.90_{- 0.51}^{+ 0.62}$\|

Redshift range

Absolute magnitude range

M_i(z = 2)

Best r₀

χ²

p-value

ξ₂₀

M_DM × 10¹² h⁻¹ M_⊙

(median)

M_i(z = 2)

(median)

0.3 < z < 0.8

0.53

−23.5 < Mi < −22.3

−23.06

|$4.2^{+0.65}_{-0.8}$|

11.96

0.29

0.18 ± 0.06

−

0.8 < z < 1.4

0.99

−23.5 < Mi < −22.3

−23.18

|$5.65^{+1.0}_{-1.2}$|

5.95

0.82

0.39 ± 0.11

1.79 ± 0.29

|$3.60_{- 2.19}^{+ 3.54}$|

0.3 < z < 0.8

0.63

−24.5 < Mi < −23.5

−23.93

|$4.05^{+0.8}_{-1.05}$|

8.7

0.56

0.25 ± 0.08

1.13 ± 0.21

|$0.71_{- 0.62}^{+ 1.60}$|

0.8 < z < 1.4

1.10

−24.5 < Mi < −23.5

−24.04

|$5.65^{+0.7}_{-0.8}$|

8.91

0.54

0.29 ± 0.08

1.58 ± 0.24

|$1.40_{- 0.90}^{+ 1.55}$|

1.4 < z < 1.9

1.61

−24.5 < Mi < −23.5

−24.15

|$7.1^{+0.8}_{-0.9}$|

10.77

0.38

0.40 ± 0.10

2.39 ± 0.33

|$2.87_{- 1.43}^{+ 2.08}$|

1.9 < z < 2.9

2.02

−24.5 < Mi < −23.5

−24.31

|$9.1^{+2.7}_{-3.65}$|

9.26

0.51

1.08 ± 0.43

4.79 ± 0.96

|$17.17_{- 9.23}^{+13.35}$|

0.3 < z < 0.8

0.69

−25.5 < Mi < −24.5

−24.84

|$4.4^{+1.5}_{-2.1}$|

13.0

0.22

0.37 ± 0.15

1.51 ± 0.34

|$3.62_{- 2.92}^{+ 6.18}$|

0.8 < z < 1.4

1.07

−25.5 < Mi < −24.5

−25.09

|$4.3^{+0.7}_{-0.75}$|

13.98

0.17

0.21 ± 0.06

1.29 ± 0.21

|$0.42_{- 0.33}^{+ 0.72}$|

1.4 < z < 1.9

1.65

−25.5 < Mi < −24.5

−24.99

|$5.6^{+0.7}_{-0.85}$|

8.84

0.55

0.36 ± 0.08

2.28 ± 0.27

|$2.10_{- 0.96}^{+ 1.35}$|

1.9 < z < 2.9

2.11

−25.5 < Mi < −24.5

−25.07

|$6.55^{+0.95}_{-1.1}$|

5.52

0.85

0.33 ± 0.11

2.60 ± 0.44

|$1.36_{- 0.81}^{+ 1.33}$|

0.8 < z < 1.4

1.21

−28.5 < Mi < −25.5

−25.94

|$5.85^{+0.6}_{-0.6}$|

9.08

0.52

0.34 ± 0.07

1.84 ± 0.21

|$2.27_{- 1.06}^{+ 1.52}$|

1.4 < z < 1.9

1.67

−28.5 < Mi < −25.5

−26.27

|$5.85^{+0.35}_{-0.4}$|

16.98

0.07

0.37 ± 0.04

2.35 ± 0.15

|$2.28_{- 0.59}^{+ 0.71}$|

1.9 < z < 2.9

2.19

−28.5 < Mi < −25.5

−26.58

|$6.2^{+0.45}_{-0.5}$|

7.63

0.67

0.39 ± 0.05

2.91 ± 0.20

|$1.90_{- 0.51}^{+ 0.62}$|

Redshift range	z	Absolute magnitude range	M_i(z = 2)	Best r₀	χ²	p-value	ξ₂₀	b	M_DM × 10¹² h⁻¹ M_⊙
0.3 < z < 0.8	0.53	−23.5 < Mi < −22.3	−23.06	\|$4.2^{+0.65}_{-0.8}$\|	11.96	0.29	0.18 ± 0.06	−	−
0.8 < z < 1.4	0.99	−23.5 < Mi < −22.3	−23.18	\|$5.65^{+1.0}_{-1.2}$\|	5.95	0.82	0.39 ± 0.11	1.79 ± 0.29	\|$3.60_{- 2.19}^{+ 3.54}$\|
0.3 < z < 0.8	0.63	−24.5 < Mi < −23.5	−23.93	\|$4.05^{+0.8}_{-1.05}$\|	8.7	0.56	0.25 ± 0.08	1.13 ± 0.21	\|$0.71_{- 0.62}^{+ 1.60}$\|
0.8 < z < 1.4	1.10	−24.5 < Mi < −23.5	−24.04	\|$5.65^{+0.7}_{-0.8}$\|	8.91	0.54	0.29 ± 0.08	1.58 ± 0.24	\|$1.40_{- 0.90}^{+ 1.55}$\|
1.4 < z < 1.9	1.61	−24.5 < Mi < −23.5	−24.15	\|$7.1^{+0.8}_{-0.9}$\|	10.77	0.38	0.40 ± 0.10	2.39 ± 0.33	\|$2.87_{- 1.43}^{+ 2.08}$\|
1.9 < z < 2.9	2.02	−24.5 < Mi < −23.5	−24.31	\|$9.1^{+2.7}_{-3.65}$\|	9.26	0.51	1.08 ± 0.43	4.79 ± 0.96	\|$17.17_{- 9.23}^{+13.35}$\|
0.3 < z < 0.8	0.69	−25.5 < Mi < −24.5	−24.84	\|$4.4^{+1.5}_{-2.1}$\|	13.0	0.22	0.37 ± 0.15	1.51 ± 0.34	\|$3.62_{- 2.92}^{+ 6.18}$\|
0.8 < z < 1.4	1.07	−25.5 < Mi < −24.5	−25.09	\|$4.3^{+0.7}_{-0.75}$\|	13.98	0.17	0.21 ± 0.06	1.29 ± 0.21	\|$0.42_{- 0.33}^{+ 0.72}$\|
1.4 < z < 1.9	1.65	−25.5 < Mi < −24.5	−24.99	\|$5.6^{+0.7}_{-0.85}$\|	8.84	0.55	0.36 ± 0.08	2.28 ± 0.27	\|$2.10_{- 0.96}^{+ 1.35}$\|
1.9 < z < 2.9	2.11	−25.5 < Mi < −24.5	−25.07	\|$6.55^{+0.95}_{-1.1}$\|	5.52	0.85	0.33 ± 0.11	2.60 ± 0.44	\|$1.36_{- 0.81}^{+ 1.33}$\|
0.8 < z < 1.4	1.21	−28.5 < Mi < −25.5	−25.94	\|$5.85^{+0.6}_{-0.6}$\|	9.08	0.52	0.34 ± 0.07	1.84 ± 0.21	\|$2.27_{- 1.06}^{+ 1.52}$\|
1.4 < z < 1.9	1.67	−28.5 < Mi < −25.5	−26.27	\|$5.85^{+0.35}_{-0.4}$\|	16.98	0.07	0.37 ± 0.04	2.35 ± 0.15	\|$2.28_{- 0.59}^{+ 0.71}$\|
1.9 < z < 2.9	2.19	−28.5 < Mi < −25.5	−26.58	\|$6.2^{+0.45}_{-0.5}$\|	7.63	0.67	0.39 ± 0.05	2.91 ± 0.20	\|$1.90_{- 0.51}^{+ 0.62}$\|

Table 4.

Open in new tab

We show the best-fitting value of r₀ for each M − z bin with the corresponding error, χ² and p-value. We correct for varying β(z) according to equation (4). We fit between 5 < s (h⁻¹ Mpc) < 55, each bin having 10 df.. We include measurements of ξ₂₀ (Section 6.4), bias and dark matter halo mass (Section 6.4.1).

Redshift range	z	Absolute magnitude range	M_i(z = 2)	Best r₀	χ²	p-value	ξ₂₀	b	M_DM × 10¹² h⁻¹ M_⊙
	(median)	M_i(z = 2)	(median)
0.3 < z < 0.8	0.53	−23.5 < Mi < −22.3	−23.06	\|$4.2^{+0.65}_{-0.8}$\|	11.96	0.29	0.18 ± 0.06	−	−
0.8 < z < 1.4	0.99	−23.5 < Mi < −22.3	−23.18	\|$5.65^{+1.0}_{-1.2}$\|	5.95	0.82	0.39 ± 0.11	1.79 ± 0.29	\|$3.60_{- 2.19}^{+ 3.54}$\|
0.3 < z < 0.8	0.63	−24.5 < Mi < −23.5	−23.93	\|$4.05^{+0.8}_{-1.05}$\|	8.7	0.56	0.25 ± 0.08	1.13 ± 0.21	\|$0.71_{- 0.62}^{+ 1.60}$\|
0.8 < z < 1.4	1.10	−24.5 < Mi < −23.5	−24.04	\|$5.65^{+0.7}_{-0.8}$\|	8.91	0.54	0.29 ± 0.08	1.58 ± 0.24	\|$1.40_{- 0.90}^{+ 1.55}$\|
1.4 < z < 1.9	1.61	−24.5 < Mi < −23.5	−24.15	\|$7.1^{+0.8}_{-0.9}$\|	10.77	0.38	0.40 ± 0.10	2.39 ± 0.33	\|$2.87_{- 1.43}^{+ 2.08}$\|
1.9 < z < 2.9	2.02	−24.5 < Mi < −23.5	−24.31	\|$9.1^{+2.7}_{-3.65}$\|	9.26	0.51	1.08 ± 0.43	4.79 ± 0.96	\|$17.17_{- 9.23}^{+13.35}$\|
0.3 < z < 0.8	0.69	−25.5 < Mi < −24.5	−24.84	\|$4.4^{+1.5}_{-2.1}$\|	13.0	0.22	0.37 ± 0.15	1.51 ± 0.34	\|$3.62_{- 2.92}^{+ 6.18}$\|
0.8 < z < 1.4	1.07	−25.5 < Mi < −24.5	−25.09	\|$4.3^{+0.7}_{-0.75}$\|	13.98	0.17	0.21 ± 0.06	1.29 ± 0.21	\|$0.42_{- 0.33}^{+ 0.72}$\|
1.4 < z < 1.9	1.65	−25.5 < Mi < −24.5	−24.99	\|$5.6^{+0.7}_{-0.85}$\|	8.84	0.55	0.36 ± 0.08	2.28 ± 0.27	\|$2.10_{- 0.96}^{+ 1.35}$\|
1.9 < z < 2.9	2.11	−25.5 < Mi < −24.5	−25.07	\|$6.55^{+0.95}_{-1.1}$\|	5.52	0.85	0.33 ± 0.11	2.60 ± 0.44	\|$1.36_{- 0.81}^{+ 1.33}$\|
0.8 < z < 1.4	1.21	−28.5 < Mi < −25.5	−25.94	\|$5.85^{+0.6}_{-0.6}$\|	9.08	0.52	0.34 ± 0.07	1.84 ± 0.21	\|$2.27_{- 1.06}^{+ 1.52}$\|
1.4 < z < 1.9	1.67	−28.5 < Mi < −25.5	−26.27	\|$5.85^{+0.35}_{-0.4}$\|	16.98	0.07	0.37 ± 0.04	2.35 ± 0.15	\|$2.28_{- 0.59}^{+ 0.71}$\|
1.9 < z < 2.9	2.19	−28.5 < Mi < −25.5	−26.58	\|$6.2^{+0.45}_{-0.5}$\|	7.63	0.67	0.39 ± 0.05	2.91 ± 0.20	\|$1.90_{- 0.51}^{+ 0.62}$\|

Redshift range	z	Absolute magnitude range	M_i(z = 2)	Best r₀	χ²	p-value	ξ₂₀	b	M_DM × 10¹² h⁻¹ M_⊙
	(median)	M_i(z = 2)	(median)
0.3 < z < 0.8	0.53	−23.5 < Mi < −22.3	−23.06	\|$4.2^{+0.65}_{-0.8}$\|	11.96	0.29	0.18 ± 0.06	−	−
0.8 < z < 1.4	0.99	−23.5 < Mi < −22.3	−23.18	\|$5.65^{+1.0}_{-1.2}$\|	5.95	0.82	0.39 ± 0.11	1.79 ± 0.29	\|$3.60_{- 2.19}^{+ 3.54}$\|
0.3 < z < 0.8	0.63	−24.5 < Mi < −23.5	−23.93	\|$4.05^{+0.8}_{-1.05}$\|	8.7	0.56	0.25 ± 0.08	1.13 ± 0.21	\|$0.71_{- 0.62}^{+ 1.60}$\|
0.8 < z < 1.4	1.10	−24.5 < Mi < −23.5	−24.04	\|$5.65^{+0.7}_{-0.8}$\|	8.91	0.54	0.29 ± 0.08	1.58 ± 0.24	\|$1.40_{- 0.90}^{+ 1.55}$\|
1.4 < z < 1.9	1.61	−24.5 < Mi < −23.5	−24.15	\|$7.1^{+0.8}_{-0.9}$\|	10.77	0.38	0.40 ± 0.10	2.39 ± 0.33	\|$2.87_{- 1.43}^{+ 2.08}$\|
1.9 < z < 2.9	2.02	−24.5 < Mi < −23.5	−24.31	\|$9.1^{+2.7}_{-3.65}$\|	9.26	0.51	1.08 ± 0.43	4.79 ± 0.96	\|$17.17_{- 9.23}^{+13.35}$\|
0.3 < z < 0.8	0.69	−25.5 < Mi < −24.5	−24.84	\|$4.4^{+1.5}_{-2.1}$\|	13.0	0.22	0.37 ± 0.15	1.51 ± 0.34	\|$3.62_{- 2.92}^{+ 6.18}$\|
0.8 < z < 1.4	1.07	−25.5 < Mi < −24.5	−25.09	\|$4.3^{+0.7}_{-0.75}$\|	13.98	0.17	0.21 ± 0.06	1.29 ± 0.21	\|$0.42_{- 0.33}^{+ 0.72}$\|
1.4 < z < 1.9	1.65	−25.5 < Mi < −24.5	−24.99	\|$5.6^{+0.7}_{-0.85}$\|	8.84	0.55	0.36 ± 0.08	2.28 ± 0.27	\|$2.10_{- 0.96}^{+ 1.35}$\|
1.9 < z < 2.9	2.11	−25.5 < Mi < −24.5	−25.07	\|$6.55^{+0.95}_{-1.1}$\|	5.52	0.85	0.33 ± 0.11	2.60 ± 0.44	\|$1.36_{- 0.81}^{+ 1.33}$\|
0.8 < z < 1.4	1.21	−28.5 < Mi < −25.5	−25.94	\|$5.85^{+0.6}_{-0.6}$\|	9.08	0.52	0.34 ± 0.07	1.84 ± 0.21	\|$2.27_{- 1.06}^{+ 1.52}$\|
1.4 < z < 1.9	1.67	−28.5 < Mi < −25.5	−26.27	\|$5.85^{+0.35}_{-0.4}$\|	16.98	0.07	0.37 ± 0.04	2.35 ± 0.15	\|$2.28_{- 0.59}^{+ 0.71}$\|
1.9 < z < 2.9	2.19	−28.5 < Mi < −25.5	−26.58	\|$6.2^{+0.45}_{-0.5}$\|	7.63	0.67	0.39 ± 0.05	2.91 ± 0.20	\|$1.90_{- 0.51}^{+ 0.62}$\|

This Feature Is Available To Subscribers Only