Constraining lens masses in moderately to highly magnified microlensing events from Gaia

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Table 2.

Parameters of the events derived in this work.

	Gaia21efs		Gaia21azb		GaiaDR3-ULENS-067		Gaia21dpb

Parameter	u₀ > 0	u₀ < 0	u₀ > 0	u₀ < 0	u₀ > 0	u₀ < 0	u₀ > 0	u₀ < 0
θ_* [μas]	9.0 ± 1.1		3.2 ± 0.4		7.7 ± 1.4		1.01 ± 0.03
D_S [kpc]	4.81 ± 0.91		$5 . 1_{- 1.4}^{+ 2.5}$ $5.1^{+2.5}_{-1.4}$		8.0 ± 2.0		$8 . 61_{- 1.77}^{+ 2.23}$ $8.61^{+2.23}_{-1.77}$
A_G [mag]	1.66 ± 0.09		0.95 $_{- 0.08}^{+ 0.07}$ $^{+0.07}_{-0.08}$		1.74 ± 0.24		0.63 ± 0.06
ρ_lim	0.0092	0.0092	0.0058	0.0057	0.0258	0.0236	0.0249	0.0253
θ_E, lim [μas]	944.7	947.1	538.1	543.4	271.6	294.2	40.4	39.8
M_L, lim [M_⊙]	$0 . 75_{- 0.08}^{0.08}$ $0.75^{0.08}_{-0.08}$	$0 . 77_{0.08}^{+ 0.09}$ $0.77^{+0.09}_{0.08}$	$0 . 45_{- 0.14}^{+ 0.17}$ $0.45^{+0.17}_{-0.14}$	$0 . 51_{- 0.16}^{+ 0.18}$ $0.51^{+0.18}_{-0.16}$	$0 . 42_{- 0.07}^{+ 0.08}$ $0.42^{+0.08}_{-0.07}$	$0 . 36_{- 0.05}^{+ 0.05}$ $0.36^{+0.05}_{-0.05}$	$0 . 0139_{- 0.0003}^{+ 0.0003}$ $0.0139^{+0.0003}_{-0.0003}$	$0 . 0141_{- 0.0003}^{+ 0.0003}$ $0.0141^{+0.0003}_{-0.0003}$
D_L, lim [kpc]	$3 . 2_{- 0.3}^{+ 0.3}$ $3.2^{+0.3}_{-0.3}$	$3 . 2_{- 0.3}^{+ 0.3}$ $3.2^{+0.3}_{-0.3}$	$3 . 6_{- 0.8}^{+ 1.3}$ $3.6^{+1.3}_{-0.8}$	$3 . 7_{- 0.8}^{+ 1.4}$ $3.7^{+1.4}_{-0.8}$	$6 . 8_{- 1.5}^{+ 1.5}$ $6.8^{+1.5}_{-1.5}$	$6 . 5_{- 1.3}^{+ 1.3}$ $6.5^{+1.3}_{-1.3}$	$7 . 66_{- 1.40}^{+ 1.77}$ $7.66^{+1.77}_{-1.40}$	$7 . 70_{- 1.4}^{+ 1.78}$ $7.70^{+1.78}_{-1.4}$
M_L, DLC [M_⊙]	$0 . 97_{- 0.19}^{+ 0.45}$ $0.97^{+0.45}_{-0.19}$	$1 . 00_{- 0.20}^{+ 0.45}$ $1.00^{+0.45}_{-0.20}$	$1 . 04_{- 0.41}^{+ 0.73}$ $1.04^{+0.73}_{-0.41}$	$1 . 14_{- 0.44}^{+ 0.78}$ $1.14^{+0.78}_{-0.44}$	$1 . 70_{- 0.60}^{+ 0.83}$ $1.70^{+0.83}_{-0.60}$	$1 . 18_{- 0.39}^{+ 0.55}$ $1.18^{+0.55}_{-0.39}$	$0 . 43_{- 0.20}^{+ 0.39}$ $0.43^{+0.39}_{-0.20}$	$0 . 45_{- 0.21}^{+ 0.41}$ $0.45^{+0.41}_{-0.21}$
D_L, DLC [kpc]	$1 . 9_{- 0.7}^{+ 0.7}$ $1.9^{+0.7}_{-0.7}$	$1 . 9_{- 0.7}^{+ 0.7}$ $1.9^{+0.7}_{-0.7}$	$3 . 5_{- 0.9}^{+ 0.9}$ $3.5^{+0.9}_{-0.9}$	$3 . 6_{- 0.8}^{+ 0.9}$ $3.6^{+0.9}_{-0.8}$	$7 . 2_{- 1.0}^{+ 1.3}$ $7.2^{+1.3}_{-1.0}$	$7 . 1_{- 1.0}^{+ 1.3}$ $7.1^{+1.3}_{-1.0}$	$1 . 8_{- 0.8}^{+ 1.1}$ $1.8^{+1.1}_{-0.8}$	$1 . 8_{- 0.8}^{+ 1.1}$ $1.8^{+1.1}_{-0.8}$
DLP [%]	87–100	89–100	86–94	90–95	80–94	80–94	82–87	83–88
v_⊥, L [km s⁻¹]	$120_{- 31}^{+ 33}$ $120^{+33}_{-31}$	$121_{- 32}^{+ 34}$ $121^{+34}_{-32}$	$187_{- 35}^{+ 36}$ $187^{+36}_{-35}$	$193_{- 35}^{+ 36}$ $193^{+36}_{-35}$	$321_{- 40}^{+ 40}$ $321^{+40}_{-40}$	$298_{- 34}^{+ 36}$ $298^{+36}_{-34}$	$96_{- 19}^{+ 25}$ $96^{+25}_{-19}$	$95_{- 17}^{+ 25}$ $95^{+25}_{-17}$

Notes. θ_* – angular radius of the source, D_S – distance to the source, A_G – extinction in the G filter, ρ_lim – upper limit for source radius in the units of the Einstein radius, θ_E, lim – lower limit for the angular Einstein radius, M_L, lim – lower limit for the lens mass as computed with θ_E = θ_E, lim, D_L, lim – upper limit for the lens distance (analogous to M_L, lim), M_L, DLC – median lens mass from the DLC procedure if θ_E, lim is taken into account, D_L, DLC – median lens distance from the DLC procedure if θ_E, lim is taken into account, DLP – dark lens probability from the DLC, v_⊥, L – transverse velocity of a lens.

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