Analytical modeling of helium absorption signals of isothermal atmospheric escape

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Volume 707 (March 2026)

A&A, 707 (2026) A373

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Table B.2

Same as Table B.1 but for high-mass planets.

Planet	P (day)	R_p (R_⊕)	M_p (M_⊕)	Age (Gyr)	M_* (M_⊙)	R_* (R_⊙)	T_eff (K)	D_He (percentile)	F_XUV (W m⁻²)	EW_He (mÅ)	EW_pred (mÅ)
HD89345_b	11.8144	6.86 ± 0.14	35.6 ± 3.2	${9.4}_{- 1.3}^{+ 0.4}$ $Mathematical equation: $9.4^{+0.4}_{-1.3}$$	1.12 ± 0.04	1.657 ± 0.02	5499 ± 73	<0.7	0.244	<7.4	1.78
HD189733_b	2.2186	12.76 ± 0.3	357.0 ± 14.0	6.8 ± 5.2	0.806 ± 0.048	0.756 ± 0.018	5040 ± 50	0.75 ± 0.03	16.75	12.76 ± 0.4	3.67
HD209458_b	3.5247	${15.23}_{- 0.21}^{+ 0.16}$ $Mathematical equation: $15.23^{+0.16}_{-0.21}$$	${217.7}_{- 4.4}^{+ 4.8}$ $Mathematical equation: $217.7^{+4.8}_{-4.4}$$	4.0 ± 2.0	1.119 ± 0.033	1.155 ± 0.015	6065 ± 50	0.91 ± 0.1	1.004	5.252 ± 0.5	0.228
HAT-P-3_b	2.8997	10.2 ± 0.4	189.1 ± 7.6	${2.9}_{- 2.7}^{+ 4.9}$ $Mathematical equation: $2.9^{+4.9}_{-2.7}$$	0.925 ± 0.046	0.85 ± 0.021	5190 ± 80	<1.9	7.968	<20.2	0.86
HAT-P-18_b	5.508	11.15 ± 0.58	62.6 ± 4.1	${12.4}_{- 6.4}^{+ 1.4}$ $Mathematical equation: $12.4^{+1.4}_{-6.4}$$	0.77 ± 0.031	0.749 ± 0.037	4803 ± 80	0.7 ± 0.16	0.7	29.21 ± 1.0	3.27
HAT-P-32_b	2.15	20.05 ± 0.28	185.9 ± 9.9	2.7 ± 0.8	1.16 ± 0.041	1.219 ± 0.016	6269 ± 64	5.3 ± 0.1	163	114.0 ± 4.0	3.23 × 10³
HAT-P-33_b	3.4745	18.9 ± 0.5	${229.0}_{- 38.0}^{+ 41.0}$ $Mathematical equation: $229.0^{+41.0}_{-38.0}$$	2.3 ± 0.3	1.42 ± 0.15	1.91 ± 0.26	$6460_{- 290}^{+ 300}$ $Mathematical equation: $6460^{+300}_{-290}$$	<1.4	6.195	<14.9	8.81
HAT-P-49_b	2.6916	${15.84}_{- 0.86}^{+ 1.4}$ $Mathematical equation: $15.84^{+1.4}_{-0.86}$$	550.0 ± 65.0	1.5 ± 0.2	1.543 ± 0.051	1.833 ± 0.138	6820 ± 52	<0.6	14.51	<6.4	1.3
HAT-P-57_b	2.4653	15.84 ± 0.61	${588.0}_{- 0.0}^{+ 590.0}$ $Mathematical equation: $588.0^{+590.0}_{-0.0}$$	${1.0}_{- 0.51}^{+ 0.67}$ $Mathematical equation: $1.0^{+0.67}_{-0.51}$$	1.47 ± 0.12	1.5 ± 0.05	7500 ± 250	<1.0	N	<10.6	4.69
HAT-P-67_b	4.8101	${23.37}_{- 0.8}^{+ 1.1}$ $Mathematical equation: $23.37^{+1.1}_{-0.8}$$	${108.0}_{- 60.0}^{+ 79.0}$ $Mathematical equation: $108.0^{+79.0}_{-60.0}$$	${1.24}_{- 0.22}^{+ 0.24}$ $Mathematical equation: $1.24^{+0.24}_{-0.22}$$	1.642 ± 0.1	2.65 ± 0.12	$6406_{- 61}^{+ 65}$ $Mathematical equation: $6406^{+65}_{-61}$$	10.0 ± 0.1	N	140.0 ± 10.0	2.03 × 10³
HAT-P-70_b	2.7443	${21.0}_{- 1.1}^{+ 1.7}$ $Mathematical equation: $21.0^{+1.7}_{-1.1}$$	<2155	${0.60}_{- 0.2}^{+ 0.38}$ $Mathematical equation: $0.60^{+0.38}_{-0.2}$$	1.890 ± 0.013	1.86 ± 0.12	8450 ± 540	N	N	N	4.45
MASCARA-2_b	3.4741	20.51 ± 0.78	${1075.0}_{- 0.0}^{+ 1100.0}$ $Mathematical equation: $1075.0^{+1100.0}_{-0.0}$$	${0.2}_{- 0.05}^{+ 0.1}$ $Mathematical equation: $0.2^{+0.1}_{-0.05}$$	1.89 ± 0.06	1.6 ± 0.06	$8980_{- 130}^{+ 90}$ $Mathematical equation: $8980^{+90}_{-130}$$	<0.5	N	<5.3	36.4
TOI-1268_b	8.1577	9.1 ± 0.6	96.0 ± 13.0	0.245 ± 0.14	0.96 ± 0.04	0.92 ± 0.06	5300 ± 100	${1.97}_{- 0.15}^{+ 0.16}$ $Mathematical equation: $1.97^{+0.16}_{-0.15}$$	7.2	${19.1}_{- 1.8}^{+ 1.9}$ $Mathematical equation: $19.1^{+1.9}_{-1.8}$$	5.02
TOI-1431_b	2.6502	16.7 ± 0.56	992.0 ± 57.0	${0.29}_{- 0.19}^{+ 0.32}$ $Mathematical equation: $0.29^{+0.32}_{-0.19}$$	1.895 ± 0.1	1.923 ± 0.068	$7690_{- 250}^{+ 400}$ $Mathematical equation: $7690^{+400}_{-250}$$	<0.4	N	<4.2	10.5
TOI-2046_b	1.4972	16.1 ± 1.2	731.0 ± 89.0	${0.4}_{- 0.3}^{+ 0.22}$ $Mathematical equation: $0.4^{+0.22}_{-0.3}$$	1.13 ± 0.19	1.21 ± 0.07	6200 ± 100	<2.9	22.45	<30.5	3.91
TOI-3757_b	3.4388	${12.0}_{- 0.5}^{+ 0.4}$ $Mathematical equation: $12.0^{+0.4}_{-0.5}$$	${85.3}_{- 8.7}^{+ 8.8}$ $Mathematical equation: $85.3^{+8.8}_{-8.7}$$	7.1 ± 4.5	0.64 ± 0.02	0.62 ± 0.01	3913 ± 56	<6.9	N	<73.0	11.2
NGTS-5_b	3.357	12.73 ± 0.26	73.0 ± 12.0	${5.0}_{- 3.5}^{+ 8.0}$ $Mathematical equation: $5.0^{+8.0}_{-3.5}$$	0.661 ± 0.065	0.739 ± 0.014	4987 ± 41	$< {1.02}_{- 0.46}^{+ 0.48}$ $Mathematical equation: $<1.02^{+0.48}_{-0.46}$$	3.2	$< {10.8}_{- 4.9}^{+ 5.1}$ $Mathematical equation: $<10.8^{+5.1}_{-4.9}$$	34.9
KELT-9_b	1.4811	21.701 ± 0.053	920.0 ± 110.0	${0.45}_{- 0.13}^{+ 0.14}$ $Mathematical equation: $0.45^{+0.14}_{-0.13}$$	2.32 ± 0.16	2.418 ± 0.058	9600 ± 400	<0.33	0.15	<1.17	0.00771
V1298Tau_c	8.2489	5.2 ± 0.39	${76.0}_{- 0.0}^{+ 76.0}$ $Mathematical equation: $76.0^{+76.0}_{-0.0}$$	0.023 ± 0.004	1.17 ± 0.06	1.278 ± 0.07	5050 ± 100	<3.75	151.356	<95.8	18.1
V1298Tau_b	24.1399	9.77 ± 0.65	203.0 ± 60.0	0.023 ± 0.004	1.17 ± 0.06	1.278 ± 0.07	5050 ± 100	<1.7	87.09	<19.0	6.07
WASP-11_b	3.7225	11.1 ± 0.25	156.0 ± 8.0	${7.6}_{- 3.5}^{+ 6.0}$ $Mathematical equation: $7.6^{+6.0}_{-3.5}$$	0.81 ± 0.04	0.772 ± 0.015	4900 ± 65	<1.56	1.9	<16.6	0.331
WASP-12_b	1.0914	21.71 ± 0.63	466.0 ± 25.0	${2.0}_{- 1.0}^{+ 0.8}$ $Mathematical equation: $2.0^{+0.8}_{-1.0}$$	1.434 ± 0.11	1.657 ± 0.046	$6300_{- 100}^{+ 200}$ $Mathematical equation: $6300^{+200}_{-100}$$	<0.5	3.18	<5.3	1.46
WASP-39_b	4.0553	14.34 ± 0.45	89.0 ± 10.0	${8.5}_{- 3.4}^{+ 4.0}$ $Mathematical equation: $8.5^{+4.0}_{-3.4}$$	0.913 ± 0.047	0.939 ± 0.022	5485 ± 50	<2.04	1.2	<21.7	9.09
WASP-48_b	2.1436	18.7 ± 1.1	${328.0}_{- 14.0}^{+ 15.0}$ $Mathematical equation: $328.0^{+15.0}_{-14.0}$$	${7.9}_{- 1.6}^{+ 2.0}$ $Mathematical equation: $7.9^{+2.0}_{-1.6}$$	1.19 ± 0.05	1.75 ± 0.09	6000 ± 150	<0.25±0.21	N	<2.7±2.2	0.799
WASP-52_b	1.7498	14.04 ± 0.3	137.9 ± 7.6	${0.4}_{- 0.2}^{+ 0.3}$ $Mathematical equation: $0.4^{+0.3}_{-0.2}$$	0.804 ± 0.05	0.786 ± 0.016	5000 ± 100	3.44 ± 0.31	24.8	39.583 ± 1.4	128
WASP-69_b	3.8681	11.85 ± 0.53	82.6 ± 5.4	2.0 ± 0.5	0.826 ± 0.029	0.813 ± 0.028	4700 ± 50	3.59 ± 0.19	4.17	28.31 ± 0.9	24.7
WASP-76_b	1.8099	${20.78}_{- 0.85}^{+ 0.86}$ $Mathematical equation: $20.78^{+0.86}_{-0.85}$$	${284.1}_{- 4.1}^{+ 4.4}$ $Mathematical equation: $284.1^{+4.4}_{-4.1}$$	${5.3}_{- 2.9}^{+ 6.1}$ $Mathematical equation: $5.3^{+6.1}_{-2.9}$$	1.458 ± 0.021	1.756 ± 0.071	6329 ± 25	<0.88	112.2018	<1.7	351
WASP-77_b	1.36	${13.79}_{- 0.33}^{+ 0.35}$ $Mathematical equation: $13.79^{+0.35}_{-0.33}$$	${530.0}_{- 20.0}^{+ 22.0}$ $Mathematical equation: $530.0^{+22.0}_{-20.0}$$	${6.2}_{- 3.5}^{+ 4.0}$ $Mathematical equation: $6.2^{+4.0}_{-3.5}$$	0.903 ± 0.06	0.91 ± 0.025	5617 ± 72	<0.8	13.182	<8.4	2.03
WASP-80_b	3.0679	${11.2}_{- 0.34}^{+ 0.35}$ $Mathematical equation: $11.2^{+0.35}_{-0.34}$$	171.0 ± 11.0	${0.1}_{- 0.0}^{+ 0.1}$ $Mathematical equation: $0.1^{+0.1}_{-0.0}$$	0.577 ± 0.05	0.586 ± 0.018	$4143_{- 94}^{+ 92}$ $Mathematical equation: $4143^{+92}_{-94}$$	<0.85	1.6595	<2.48	0.318
WASP-107_b	5.7215	10.54 ± 0.22	35.0 ± 3.2	8.3 ± 4.3	0.69 ± 0.05	0.66 ± 0.02	4430 ± 120	7.26 ± 0.24	2.664	87.152 ± 7.6	75
WASP-127_b	4.1781	15.36 ± 0.45	57.2 ± 6.4	11.41 ± 1.8	1.08 ± 0.03	1.39 ± 0.03	5620 ± 85	<0.48	0.058	<6.8	0.812
WASP-177_b	3.0717	${17.7}_{- 4.0}^{+ 7.4}$ $Mathematical equation: $17.7^{+7.4}_{-4.0}$$	161.0 ± 12.0	9.7 ± 3.9	0.876 ± 0.038	0.885 ± 0.046	5017 ± 70	$< {1.28}_{- 0.29}^{+ 0.3}$ $Mathematical equation: $<1.28^{+0.3}_{-0.29}$$	3.5	<6.8±1.6	14.5
WASP-189_b	2.724	18.15 ± 0.24	${632.0}_{- 44.0}^{+ 60.0}$ $Mathematical equation: $632.0^{+60.0}_{-44.0}$$	0.75 ± 0.13	2.03 ± 0.066	2.36 ± 0.03	8000 ± 80	<0.3	N	<3.2	4.15

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