Observed values of longitudinal two-point (ξ), triplet probability excess (|$\rm PE_3$|), and three-point (ζ) correlations.
r . | ξ . | |$\rm PE_3$| . | ζ . | ||||
---|---|---|---|---|---|---|---|
(in pMpc) . | (in km s−1) . | NH i > 1012.5 cm−2 . | NH i > 1013.5 cm−2 . | NH i > 1012.5 cm−2 . | NH i > 1013.5 cm−2 . | NH i > 1012.5 cm−2 . | NH i > 1013.5 cm−2 . |
0.5–1 | 36.3–72.6 | |$1.20^{+0.18}_{-0.16}$| | |$3.65^{+0.68}_{-0.60}$| | |$4.77^{+3.87}_{-2.47}$| | |$-1.00^{+32.11}_{-0.00}$| | |$0.72^{+3.89}_{-2.49}$| | |$-12.81^{+32.14}_{-1.28}$| |
1–2 | 72.6–145.3 | |$1.65^{+0.13}_{-0.13}$| | |$4.50^{+0.49}_{-0.45}$| | |$8.76^{+1.96}_{-1.65}$| | |$44.33^{+19.34}_{-14.09}$| | |$4.76^{+1.98}_{-1.67}$| | |$34.18^{+19.36}_{-14.12}$| |
2–4 | 145.3–290.6 | |$0.70^{+0.07}_{-0.07}$| | |$1.14^{+0.22}_{-0.20}$| | |$1.98^{+0.54}_{-0.46}$| | |$7.76^{+4.32}_{-3.03}$| | |$0.41^{+0.56}_{-0.48}$| | |$4.88^{+4.34}_{-3.06}$| |
4–8 | 290.6–581.1 | |$0.18^{+0.04}_{-0.04}$| | |$0.59^{+0.13}_{-0.12}$| | |$0.37^{+0.18}_{-0.16}$| | |$2.66^{+1.32}_{-1.00}$| | |$0.01^{+0.20}_{-0.18}$| | |$1.31^{+1.35}_{-1.04}$| |
8–16 | 581.1–1162.2 | |$0.00^{+0.01}_{-0.01}$| | |$0.17^{+0.08}_{-0.08}$| | |$-0.17^{+0.10}_{-0.09}$| | |$1.13^{+0.46}_{-0.39}$| | |$-0.18^{+0.11}_{-0.10}$| | |$0.78^{+0.49}_{-0.42}$| |
16–32 | 1162.2–2324.4 | |$0.01^{+0.01}_{-0.01}$| | |$0.01^{+0.05}_{-0.05}$| | |$0.02^{+0.02}_{-0.01}$| | |$0.01^{+0.15}_{-0.13}$| | |$-0.07^{+0.04}_{-0.03}$| | |$0.05^{+0.19}_{-0.17}$| |
32–64 | 2324.4–4648.8 | |$0.07^{+0.03}_{-0.03}$| | |$-0.06^{+0.04}_{-0.04}$| | – | – | – | – |
r . | ξ . | |$\rm PE_3$| . | ζ . | ||||
---|---|---|---|---|---|---|---|
(in pMpc) . | (in km s−1) . | NH i > 1012.5 cm−2 . | NH i > 1013.5 cm−2 . | NH i > 1012.5 cm−2 . | NH i > 1013.5 cm−2 . | NH i > 1012.5 cm−2 . | NH i > 1013.5 cm−2 . |
0.5–1 | 36.3–72.6 | |$1.20^{+0.18}_{-0.16}$| | |$3.65^{+0.68}_{-0.60}$| | |$4.77^{+3.87}_{-2.47}$| | |$-1.00^{+32.11}_{-0.00}$| | |$0.72^{+3.89}_{-2.49}$| | |$-12.81^{+32.14}_{-1.28}$| |
1–2 | 72.6–145.3 | |$1.65^{+0.13}_{-0.13}$| | |$4.50^{+0.49}_{-0.45}$| | |$8.76^{+1.96}_{-1.65}$| | |$44.33^{+19.34}_{-14.09}$| | |$4.76^{+1.98}_{-1.67}$| | |$34.18^{+19.36}_{-14.12}$| |
2–4 | 145.3–290.6 | |$0.70^{+0.07}_{-0.07}$| | |$1.14^{+0.22}_{-0.20}$| | |$1.98^{+0.54}_{-0.46}$| | |$7.76^{+4.32}_{-3.03}$| | |$0.41^{+0.56}_{-0.48}$| | |$4.88^{+4.34}_{-3.06}$| |
4–8 | 290.6–581.1 | |$0.18^{+0.04}_{-0.04}$| | |$0.59^{+0.13}_{-0.12}$| | |$0.37^{+0.18}_{-0.16}$| | |$2.66^{+1.32}_{-1.00}$| | |$0.01^{+0.20}_{-0.18}$| | |$1.31^{+1.35}_{-1.04}$| |
8–16 | 581.1–1162.2 | |$0.00^{+0.01}_{-0.01}$| | |$0.17^{+0.08}_{-0.08}$| | |$-0.17^{+0.10}_{-0.09}$| | |$1.13^{+0.46}_{-0.39}$| | |$-0.18^{+0.11}_{-0.10}$| | |$0.78^{+0.49}_{-0.42}$| |
16–32 | 1162.2–2324.4 | |$0.01^{+0.01}_{-0.01}$| | |$0.01^{+0.05}_{-0.05}$| | |$0.02^{+0.02}_{-0.01}$| | |$0.01^{+0.15}_{-0.13}$| | |$-0.07^{+0.04}_{-0.03}$| | |$0.05^{+0.19}_{-0.17}$| |
32–64 | 2324.4–4648.8 | |$0.07^{+0.03}_{-0.03}$| | |$-0.06^{+0.04}_{-0.04}$| | – | – | – | – |
Observed values of longitudinal two-point (ξ), triplet probability excess (|$\rm PE_3$|), and three-point (ζ) correlations.
r . | ξ . | |$\rm PE_3$| . | ζ . | ||||
---|---|---|---|---|---|---|---|
(in pMpc) . | (in km s−1) . | NH i > 1012.5 cm−2 . | NH i > 1013.5 cm−2 . | NH i > 1012.5 cm−2 . | NH i > 1013.5 cm−2 . | NH i > 1012.5 cm−2 . | NH i > 1013.5 cm−2 . |
0.5–1 | 36.3–72.6 | |$1.20^{+0.18}_{-0.16}$| | |$3.65^{+0.68}_{-0.60}$| | |$4.77^{+3.87}_{-2.47}$| | |$-1.00^{+32.11}_{-0.00}$| | |$0.72^{+3.89}_{-2.49}$| | |$-12.81^{+32.14}_{-1.28}$| |
1–2 | 72.6–145.3 | |$1.65^{+0.13}_{-0.13}$| | |$4.50^{+0.49}_{-0.45}$| | |$8.76^{+1.96}_{-1.65}$| | |$44.33^{+19.34}_{-14.09}$| | |$4.76^{+1.98}_{-1.67}$| | |$34.18^{+19.36}_{-14.12}$| |
2–4 | 145.3–290.6 | |$0.70^{+0.07}_{-0.07}$| | |$1.14^{+0.22}_{-0.20}$| | |$1.98^{+0.54}_{-0.46}$| | |$7.76^{+4.32}_{-3.03}$| | |$0.41^{+0.56}_{-0.48}$| | |$4.88^{+4.34}_{-3.06}$| |
4–8 | 290.6–581.1 | |$0.18^{+0.04}_{-0.04}$| | |$0.59^{+0.13}_{-0.12}$| | |$0.37^{+0.18}_{-0.16}$| | |$2.66^{+1.32}_{-1.00}$| | |$0.01^{+0.20}_{-0.18}$| | |$1.31^{+1.35}_{-1.04}$| |
8–16 | 581.1–1162.2 | |$0.00^{+0.01}_{-0.01}$| | |$0.17^{+0.08}_{-0.08}$| | |$-0.17^{+0.10}_{-0.09}$| | |$1.13^{+0.46}_{-0.39}$| | |$-0.18^{+0.11}_{-0.10}$| | |$0.78^{+0.49}_{-0.42}$| |
16–32 | 1162.2–2324.4 | |$0.01^{+0.01}_{-0.01}$| | |$0.01^{+0.05}_{-0.05}$| | |$0.02^{+0.02}_{-0.01}$| | |$0.01^{+0.15}_{-0.13}$| | |$-0.07^{+0.04}_{-0.03}$| | |$0.05^{+0.19}_{-0.17}$| |
32–64 | 2324.4–4648.8 | |$0.07^{+0.03}_{-0.03}$| | |$-0.06^{+0.04}_{-0.04}$| | – | – | – | – |
r . | ξ . | |$\rm PE_3$| . | ζ . | ||||
---|---|---|---|---|---|---|---|
(in pMpc) . | (in km s−1) . | NH i > 1012.5 cm−2 . | NH i > 1013.5 cm−2 . | NH i > 1012.5 cm−2 . | NH i > 1013.5 cm−2 . | NH i > 1012.5 cm−2 . | NH i > 1013.5 cm−2 . |
0.5–1 | 36.3–72.6 | |$1.20^{+0.18}_{-0.16}$| | |$3.65^{+0.68}_{-0.60}$| | |$4.77^{+3.87}_{-2.47}$| | |$-1.00^{+32.11}_{-0.00}$| | |$0.72^{+3.89}_{-2.49}$| | |$-12.81^{+32.14}_{-1.28}$| |
1–2 | 72.6–145.3 | |$1.65^{+0.13}_{-0.13}$| | |$4.50^{+0.49}_{-0.45}$| | |$8.76^{+1.96}_{-1.65}$| | |$44.33^{+19.34}_{-14.09}$| | |$4.76^{+1.98}_{-1.67}$| | |$34.18^{+19.36}_{-14.12}$| |
2–4 | 145.3–290.6 | |$0.70^{+0.07}_{-0.07}$| | |$1.14^{+0.22}_{-0.20}$| | |$1.98^{+0.54}_{-0.46}$| | |$7.76^{+4.32}_{-3.03}$| | |$0.41^{+0.56}_{-0.48}$| | |$4.88^{+4.34}_{-3.06}$| |
4–8 | 290.6–581.1 | |$0.18^{+0.04}_{-0.04}$| | |$0.59^{+0.13}_{-0.12}$| | |$0.37^{+0.18}_{-0.16}$| | |$2.66^{+1.32}_{-1.00}$| | |$0.01^{+0.20}_{-0.18}$| | |$1.31^{+1.35}_{-1.04}$| |
8–16 | 581.1–1162.2 | |$0.00^{+0.01}_{-0.01}$| | |$0.17^{+0.08}_{-0.08}$| | |$-0.17^{+0.10}_{-0.09}$| | |$1.13^{+0.46}_{-0.39}$| | |$-0.18^{+0.11}_{-0.10}$| | |$0.78^{+0.49}_{-0.42}$| |
16–32 | 1162.2–2324.4 | |$0.01^{+0.01}_{-0.01}$| | |$0.01^{+0.05}_{-0.05}$| | |$0.02^{+0.02}_{-0.01}$| | |$0.01^{+0.15}_{-0.13}$| | |$-0.07^{+0.04}_{-0.03}$| | |$0.05^{+0.19}_{-0.17}$| |
32–64 | 2324.4–4648.8 | |$0.07^{+0.03}_{-0.03}$| | |$-0.06^{+0.04}_{-0.04}$| | – | – | – | – |
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