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Table B.2

Summary of the expected detection rate of BH micro-TDEs (Γ) for different instruments and peak luminosity models.

Mmax Mpeak zmax fsky Γ(zmax) fiducial (yr−1) Γ(zmax) low density (yr−1) Γ(zmax) high density (yr−1)
Peak luminosity: fiducial

ZTF 20.8 (g-band) −14.24 0.023 0.360 1.551.121.87Mathematical equation: $1.55_{1.12}^{1.87}$ 0.470.320.62Mathematical equation: $0.47_{0.32}^{0.62}$ 2.381.702.91Mathematical equation: $2.38_{1.70}^{2.91}$
[0.39–2.20] [0.09–0.97] [0.49–3.78]
ULTRASAT 22.5 (NUV) −15.65 0.090 0.170 101.9374.08122.25Mathematical equation: $101.93_{74.08}^{122.25}$ 30.4620.9040.87Mathematical equation: $30.46_{20.90}^{40.87}$ 155.46111.60190.70Mathematical equation: $155.46_{111.60}^{190.70}$
[22.99–143.62] [6.71–64.25] [33.25–242.58]
LSST 25.0 (g-band) −14.44 0.157 0.480 542.99390.09652.61Mathematical equation: $542.99_{390.09}^{652.61}$ 162.99111.78217.52Mathematical equation: $162.99_{111.78}^{217.52}$ 828.03595.091017.10Mathematical equation: $828.03_{595.09}^{1017.10}$
[104.28–767.05] [35.73–336.49] [184.52–1310.42]

Peak luminosity: pessimistic

ZTF 20.8 (g-band) −11.74 0.007 0.360 0.050.040.06Mathematical equation: $0.05_{0.04}^{0.06}$ 0.020.010.02Mathematical equation: $0.02_{0.01}^{0.02}$ 0.080.060.09Mathematical equation: $0.08_{0.06}^{0.09}$
[0.01–0.07] [0.00–0.03] [0.02–0.12]
ULTRASAT 22.5 (NUV) −13.30 0.032 0.170 4.363.155.25Mathematical equation: $4.36_{3.15}^{5.25}$ 1.310.901.75Mathematical equation: $1.31_{0.90}^{1.75}$ 6.644.798.16Mathematical equation: $6.64_{4.79}^{8.16}$
[1.02–6.15] [0.27–2.75] [1.52–10.58]
LSST 25.0 (g-band) −11.74 0.049 0.480 15.4911.1318.69Mathematical equation: $15.49_{11.13}^{18.69}$ 4.703.246.27Mathematical equation: $4.70_{3.24}^{6.27}$ 23.7517.2829.21Mathematical equation: $23.75_{17.28}^{29.21}$
[3.34–22.06] [0.88–9.60] [5.44–37.67]

Peak luminosity: optimistic

ZTF 20.8 (g-band) −16.94 0.075 0.360 58.9142.7571.01Mathematical equation: $58.91_{42.75}^{71.01}$ 17.8112.2623.81Mathematical equation: $17.81_{12.26}^{23.81}$ 90.0564.17110.52Mathematical equation: $90.05_{64.17}^{110.52}$
[13.62–83.78] [3.62–35.90] [20.87–141.24]
ULTRASAT 22.5 (NUV) −19.24 0.399 0.170 9321.986797.74111228.68Mathematical equation: $9321.98_{6797.74}^{111228.68}$ 2816.141903.863739.90Mathematical equation: $2816.14_{1903.86}^{3739.90}$ 14247.3510202.7717498.69Mathematical equation: $14247.35_{10202.77}^{17498.69}$
[2121.04–13317.87] [578.95–5925.67] [3179.24–22220.49]
LSST 25.0 (g-band) −18.63 0.819 0.480 78372.1456965.6394510.30Mathematical equation: $78372.14_{56965.63}^{94510.30}$ 23526.0916267.5531481.31Mathematical equation: $23526.09_{16267.55}^{31481.31}$ 119282.3385956.96146771.87Mathematical equation: $119282.33_{85956.96}^{146771.87}$
[16897.43–110365.66] [4154.54–49032.33] [24539.70–187595.76]

Notes. The expected detection rate of BH micro-TDEs, Γ, for three different instruments/surveys (with their observing bands indicated in parentheses) are based on their maximum redshift zmax at which events with peak luminosity Mpeak are detectable. The number of expected detections per year follows a Poisson distribution with mean given by Equation 7, which depends on the detection rate, sky coverage ( fsky), and detection efficiency. The reported value corresponds to the median of the expected distribution, with subscript and superscript denoting the central 68% confidence interval, and the range in square brackets indicating the 99.7% confidence interval. The fiducial, low density and high density columns refer to the results obtained assuming the correspondent production efficiency in Tab. B.1. The three peak luminosity scenarios refer to the models presented in Kremer et al. (2023) for different efficiency of mass outflow during the accretion on the BH (pessimistic: high efficiency, lower peak luminosity, optimistic: low efficiency, higher peak luminosity).

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