HALO - I. Photometric continuum reverberation mapping of Fairall 9

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Table 4.

Parameters estimated from the disk-mapping.

Data	τ₀	β	α	χ²/d.o.f.
	(days)
(1)	(2)	(3)	(4)	(5)
Original-total	$1 . 06_{- 0.14}^{+ 0.14}$ $1.06_{-0.14}^{+0.14}$	$2 . 50_{- 0.01}^{+ 0.01}$ $2.50_{-0.01}^{+0.01}$	$2 . 00_{- 0.32}^{+ 0.31}$ $2.00_{-0.32}^{+0.31}$	3.21
Original-total	$2 . 72_{- 0.37}^{+ 0.37}$ $2.72_{-0.37}^{+0.37}$	4/3	1	5.57
Original-total (without τ_uI)	$0 . 27_{- 0.19}^{+ 0.47}$ $0.27_{-0.19}^{+0.47}$	$1 . 83_{- 1.33}^{+ 0.67}$ $1.83_{-1.33}^{+0.67}$	$2 . 42_{- 1.53}^{+ 1.58}$ $2.42_{-1.53}^{+1.58}$	1.76
Original-total (without τ_uI)	$- 0 . 13_{- 0.68}^{+ 0.69}$ $-0.13_{-0.68}^{+0.69}$	4/3	1	0.68
Detrending = 1-total	$0 . 51_{- 0.07}^{+ 0.09}$ $0.51_{-0.07}^{+0.09}$	$2 . 50_{- 0.01}^{+ 0.01}$ $2.50_{-0.01}^{+0.01}$	$0 . 93_{- 0.34}^{+ 0.29}$ $0.93_{-0.34}^{+0.29}$	3.50
Detrending = 1-total	$1 . 66_{- 0.19}^{+ 0.20}$ $1.66_{-0.19}^{+0.20}$	4/3	1	2.62
Detrending = 1-total (without τ_uI)	$1 . 58_{- 1.12}^{+ 1.57}$ $1.58_{-1.12}^{+1.57}$	$0 . 50_{- 0.01}^{+ 0.01}$ $0.50_{-0.01}^{+0.01}$	$0 . 83_{- 0.83}^{+ 0.15}$ $0.83_{-0.83}^{+0.15}$	3.63
Detrending = 1-total (without τ_uI)	$0 . 93_{- 0.29}^{+ 0.31}$ $0.93_{-0.29}^{+0.31}$	4/3	1	1.85
Detrending = 2-total	$0 . 61_{- 0.07}^{+ 0.54}$ $0.61_{-0.07}^{+0.54}$	$2 . 50_{- 0.70}^{+ 0.01}$ $2.50_{-0.70}^{+0.01}$	$0 . 52_{- 0.43}^{+ 0.39}$ $0.52_{-0.43}^{+0.39}$	5.11
Detrending = 2-total	$2 . 11_{- 0.15}^{+ 0.16}$ $2.11_{-0.15}^{+0.16}$	4/3	1	3.01
Detrending = 2-total (without τ_uI)	$3 . 62_{- 1.62}^{+ 1.67}$ $3.62_{-1.62}^{+1.67}$	$0 . 50_{- 0.01}^{+ 0.01}$ $0.50_{-0.01}^{+0.01}$	$0 . 89_{- 0.21}^{+ 0.08}$ $0.89_{-0.21}^{+0.08}$	7.15
Detrending = 2-total (without τ_uI)	$1 . 76_{- 0.30}^{+ 0.30}$ $1.76_{-0.30}^{+0.30}$	4/3	1	3.79
Original-S1	$0 . 55_{- 0.20}^{+ 4.69}$ $0.55_{-0.20}^{+4.69}$	$2 . 43_{- 1.93}^{+ 0.07}$ $2.43_{-1.93}^{+0.07}$	$1 . 15_{- 0.70}^{+ 1.18}$ $1.15_{-0.70}^{+1.18}$	1.30
Original-S1	$1 . 19_{- 0.30}^{+ 0.30}$ $1.19_{-0.30}^{+0.30}$	4/3	1	0.15
Original-S1 (without τ_uI)	$0 . 65_{- 0.49}^{+ 2.45}$ $0.65_{-0.49}^{+2.45}$	$0 . 50_{- 0.01}^{+ 2.00}$ $0.50_{-0.01}^{+2.00}$	$1 . 14_{- 1.14}^{+ 2.53}$ $1.14_{-1.14}^{+2.53}$	0.28
Original-S1 (without τ_uI)	$0 . 57_{- 1.07}^{+ 1.06}$ $0.57_{-1.07}^{+1.06}$	4/3	1	0.01
Detrending = 1-S1	$0 . 68_{- 0.21}^{+ 0.26}$ $0.68_{-0.21}^{+0.26}$	$2 . 50_{- 0.06}^{+ 0.01}$ $2.50_{-0.06}^{+0.01}$	$1 . 44_{- 0.48}^{+ 0.46}$ $1.44_{-0.48}^{+0.46}$	1.00
Detrending = 1-S1	$1 . 83_{- 0.57}^{+ 0.56}$ $1.83_{-0.57}^{+0.56}$	4/3	1	1.25
Detrending = 1-S1 (without τ_uI)	$0 . 47_{- 0.33}^{+ 2.39}$ $0.47_{-0.33}^{+2.39}$	$0 . 50_{- 0.01}^{+ 2.00}$ $0.50_{-0.01}^{+2.00}$	$1 . 01_{- 1.01}^{+ 0.72}$ $1.01_{-1.01}^{+0.72}$	0.72
Detrending = 1-S1 (without τ_uI)	$0 . 55_{- 0.57}^{+ 0.62}$ $0.55_{-0.57}^{+0.62}$	4/3	1	0.08
Detrending = 2-S1	$0 . 48_{- 0.15}^{+ 0.16}$ $0.48_{-0.15}^{+0.16}$	$2 . 50_{- 0.01}^{+ 0.01}$ $2.50_{-0.01}^{+0.01}$	$1 . 82_{- 0.36}^{+ 0.32}$ $1.82_{-0.36}^{+0.32}$	2.93
Detrending = 2-S1	$1 . 28_{- 0.42}^{+ 0.42}$ $1.28_{-0.42}^{+0.42}$	4/3	1	3.69
Detrending = 2-S1 (without τ_uI)	$0 . 11_{- 0.08}^{+ 0.45}$ $0.11_{-0.08}^{+0.45}$	$0 . 50_{- 0.01}^{+ 2.00}$ $0.50_{-0.01}^{+2.00}$	$1 . 28_{- 1.27}^{+ 2.72}$ $1.28_{-1.27}^{+2.72}$	0.08
Detrending = 2-S1 (without τ_uI)	$0 . 01_{- 0.35}^{+ 0.35}$ $0.01_{-0.35}^{+0.35}$	4/3	1	0.01
Original-S2	$1 . 62_{- 1.17}^{+ 3.80}$ $1.62_{-1.17}^{+3.80}$	$1 . 20_{- 0.70}^{+ 1.22}$ $1.20_{-0.70}^{+1.22}$	$0 . 89_{- 0.86}^{+ 0.11}$ $0.89_{-0.86}^{+0.11}$	0.98
Original-S2	$1 . 52_{- 0.17}^{+ 0.17}$ $1.52_{-0.17}^{+0.17}$	4/3	1	0.78
Original-S2 (without τ_uI)	$3 . 82_{- 2.92}^{+ 2.05}$ $3.82_{-2.92}^{+2.05}$	$0 . 50_{- 0.01}^{+ 0.16}$ $0.50_{-0.01}^{+0.16}$	$0 . 93_{- 0.25}^{+ 0.07}$ $0.93_{-0.25}^{+0.07}$	1.73
Original-S2 (without τ_uI)	$1 . 68_{- 0.34}^{+ 0.36}$ $1.68_{-0.34}^{+0.36}$	4/3	1	0.95
Detrending = 1-S2	$1 . 84_{- 1.48}^{+ 2.27}$ $1.84_{-1.48}^{+2.27}$	$0 . 91_{- 0.41}^{+ 1.43}$ $0.91_{-0.41}^{+1.43}$	$0 . 88_{- 0.86}^{+ 0.11}$ $0.88_{-0.86}^{+0.11}$	1.34
Detrending = 1-S2	$1 . 16_{- 0.16}^{+ 0.17}$ $1.16_{-0.16}^{+0.17}$	4/3	1	1.28
Detrending = 1-S2 (without τ_uI)	$2 . 97_{- 1.93}^{+ 1.60}$ $2.97_{-1.93}^{+1.60}$	$0 . 50_{- 0.01}^{+ 0.01}$ $0.50_{-0.01}^{+0.01}$	$0 . 92_{- 0.24}^{+ 0.07}$ $0.92_{-0.24}^{+0.07}$	2.63
Detrending = 1-S2 (without τ_uI)	$1 . 36_{- 0.30}^{+ 0.31}$ $1.36_{-0.30}^{+0.31}$	4/3	1	1.39
Detrending = 2-S2	$0 . 68_{- 0.16}^{+ 2.96}$ $0.68_{-0.16}^{+2.96}$	$2 . 17_{- 1.32}^{+ 0.33}$ $2.17_{-1.32}^{+0.33}$	$0 . 60_{- 0.60}^{+ 0.39}$ $0.60_{-0.60}^{+0.39}$	3.20
Detrending = 2-S2	$1 . 96_{- 0.19}^{+ 0.17}$ $1.96_{-0.19}^{+0.17}$	4/3	1	1.84
Detrending = 2-S2 (without τ_uI)	$4 . 04_{- 1.92}^{+ 1.94}$ $4.04_{-1.92}^{+1.94}$	$0 . 50_{- 0.01}^{+ 0.01}$ $0.50_{-0.01}^{+0.01}$	$0 . 91_{- 0.21}^{+ 0.08}$ $0.91_{-0.21}^{+0.08}$	4.06
Detrending = 2-S2 (without τ_uI)	$1 . 86_{- 0.33}^{+ 0.33}$ $1.86_{-0.33}^{+0.33}$	4/3	1	2.42
HALO+Literature	$1 . 66_{- 0.53}^{+ 1.85}$ $1.66_{-0.53}^{+1.85}$	$2 . 10_{- 0.76}^{+ 0.40}$ $2.10_{-0.76}^{+0.40}$	$1 . 87_{- 0.45}^{+ 0.37}$ $1.87_{-0.45}^{+0.37}$	11.51
HALO+Literature	$2 . 77_{- 0.33}^{+ 0.32}$ $2.77_{-0.33}^{+0.32}$	4/3	1	39.30
HALO+Literature (without τ_uI)	$7 . 37_{- 1.64}^{+ 1.68}$ $7.37_{-1.64}^{+1.68}$	$0 . 50_{- 0.01}^{+ 0.01}$ $0.50_{-0.01}^{+0.01}$	$1 . 16_{- 0.03}^{+ 0.04}$ $1.16_{-0.03}^{+0.04}$	3.93
HALO+Literature (without τ_uI)	$1 . 65_{- 0.45}^{+ 0.47}$ $1.65_{-0.45}^{+0.47}$	4/3	1	15.79

Notes. Columns are as follows: (1) light curve data type used for lag analysis, (2) normalization constant at reference wavelength λ₀ = 3468 Å/(1+z) from fitting, (3) power-law index, either free or fixed at β_fix = 4/3, (4) parameter, either free or fixed at 1, and (5) χ² per degree of freedom.

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