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Home All issues Volume 702 (October 2025) A&A, 702 (2025) A138 Full HTML
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Table C.2

Median values and 68% confidence intervals of the posterior distributions of the joint fit.

Parameter Prior Value
Stellar parameters
Stellar density, ρ* (ρ⊙) . . . . . . . . 𝒩(5350, 230) 5298−169+164$\[5298_{-169}^{+164}\]$
Fitted parameters for TOI-756 b
Orbital period, Pb (days). . . . . . . 𝒩(1.23925, 0.00001) 1.23924949−0.00000063+0.00000068$\[1.23924949_{-0.00000063}^{+0.00000068}\]$
Transit epoch, T0,b (BJD) . . . . . . 𝒩(2458570.652, 0.001) 2458570.65234−0.00037+0.00035$\[2458570.65234_{-0.00037}^{+0.00035}\]$
r1 . . . . . . . . . . . . . . . . . 𝒩(0.70, 0.1) 0.726−0.014+0.012$\[0.726_{-0.014}^{+0.012}\]$
Scaled planetary radius, RP/R* = r2 . . 𝒩(0.049, 0.01) 0.05113−0.00089+0.00082$\[0.05113_{-0.00089}^{+0.00082}\]$
RV semi-amplitude, Kb (m/s) . . . . 𝒰(0, 30) 9.22−1.49+1.70$\[9.22_{-1.49}^{+1.70}\]$
Eccentricity, eb . . . . . . . . . . . Fixed 0.0 (adopted, 3σ < 0.51)
Argument of periastron, ωb (deg) . . . Fixed 90.0
Fitted parameters for TOI-756 c
Orbital period, P (days) . . . . . . . 𝒰(10, 300) 149.40−0.17+0.16$\[149.40_{-0.17}^{+0.16}\]$
Transit epoch, T0 (BJD) . . . . . . . 𝒰(2460000, 2460500) 2460498.82−0.52+0.57$\[2460498.82_{-0.52}^{+0.57}\]$
RV semi amplitude, Kc (m/s) . . . . 𝒰(100, 500) 273.29−2.60+2.56$\[273.29_{-2.60}^{+2.56}\]$
ecsin(ωc)$\[\sqrt{e}_{c} sin (\omega_{c})\]$ . . . . . . . . . . . . . 𝒰(−1, 1) −0.141 ± 0.011
eccos(ωc)$\[\sqrt{e_{c}} cos (\omega_{c})\]$ . . . . . . . . . . . . 𝒰(−1, 1) −0.652 ± 0.006
Fitted parameters for the linear trend
RV slope (m/s/day) . . . . . . . . . 𝒰(−10, 10) 0.399 ± +0.014
RV intercep (m/s) . . . . . . . . . 𝒰(−300, 300) −181.58−78.22+105.59$\[-181.58_{-78.22}^{+105.59}\]$
Instrumental photometric parameters
Offset relative flux, MTESSS 10 (×10−4) . 𝒩(0, 300) −0.1 ± 1.6
Jitter, σw,TESSS 10 (ppm) . . . . . . . . log𝒰(0.01, 300) 12.2−11.2+58.3$\[12.2_{-11.2}^{+58.3}\]$
Offset relative flux, MTESSS 11 (× 10−4) . 𝒩(0, 300) 3.7−13.1+17.6$\[3.7_{-13.1}^{+17.6}\]$
Jitter, σw,TESSS 11 (ppm) . . . . . . . . log𝒰(0.01, 300) 17.4−15.8+77.3$\[17.4_{-15.8}^{+77.3}\]$
Offset relative flux, MTESSS 37 (× 10−4) . 𝒩(0, 300) −2.15−0.59+0.65$\[-2.15_{-0.59}^{+0.65}\]$
Jitter, σw,TESSS 37 (ppm) . . . . . . . . log𝒰(0.01, 300) 1.13−0.98+13.13$\[1.13_{-0.98}^{+13.13}\]$
Offset relative flux, MTESSS 64 (× 10−4) . 𝒩(0, 300) −15.59−0.64+0.63$\[-15.59_{-0.64}^{+0.63}\]$
Jitter, σw,TESSS 64 (ppm). . . . . . . . log𝒰(0.01, 300) 0.73−0.66+10.62$\[0.73_{-0.66}^{+10.62}\]$
Offset relative flux, MExTrA1T 1 . . . . 𝒩(0, 2) 0.16−0.18+0.46$\[0.16_{-0.18}^{+0.46}\]$
Jitter, σw, ExTrA1T 1 (ppm). . . . . . . log𝒰(0.01, 5000) 2146−348+308$\[2146_{-348}^{+308}\]$
Offset relative flux, MExTrA2T 1 . . . . 𝒩(0, 2) 0.005−0.004+0.24$\[0.005_{-0.004}^{+0.24}\]$
Jitter, σw,ExTrA2T 1 (ppm). . . . . . . log𝒰(0.01, 5000) 1.97−1.80+45.03$\[1.97_{-1.80}^{+45.03}\]$
Offset relative flux, MExTrA3T 1 . . . . 𝒩(0, 2) 0.05−0.12+0.20$\[0.05_{-0.12}^{+0.20}\]$
Jitter, σw,ExTrA3T 1 (ppm) . . . . . . . log𝒰(0.01, 5000) 67.39−62.43+1286.35$\[67.39_{-62.43}^{+1286.35}\]$
Offset relative flux, MExTrA4T 1 . . . . 𝒩(0, 2) 0.04−0.05+0.20$\[0.04_{-0.05}^{+0.20}\]$
Jitter, σw,ExTrA4T 1 (ppm) . . . . . . . log𝒰(0.01, 5000) 34.90−32.80+318.35$\[34.90_{-32.80}^{+318.35}\]$
Offset relative flux, MExTrA1T 2 . . . . 𝒩(0, 2) 0.32−0.30+0.38$\[0.32_{-0.30}^{+0.38}\]$
Jitter, σw,ExTrA1T 2 (ppm) . . . . . . . log𝒰(0.01, 5000) 0.94−0.85+8.48$\[0.94_{-0.85}^{+8.48}\]$
Offset relative flux, MExTrA2T 2 . . . . 𝒩(0, 2) 0.028−0.06+0.20$\[0.028_{-0.06}^{+0.20}\]$
Jitter, σw,ExTrA2T 2 (ppm) . . . . . . . log𝒰(0.01, 5000) 3.4−3.1+39.05$\[3.4_{-3.1}^{+39.05}\]$
Offset relative flux, MExTrA3T 2 . . . . 𝒩(0, 2) 0.002−0.065+0.098$\[0.002_{-0.065}^{+0.098}\]$
Jitter, σw,ExTrA3T 2 (ppm) . . . . . . . log𝒰(0.01, 5000) 1.84−1.65+19.27$\[1.84_{-1.65}^{+19.27}\]$
Offset relative flux, MExTrA4T 2 . . . . 𝒩(0, 2) −0.002−0.020+0.011$\[-0.002_{-0.020}^{+0.011}\]$
Jitter, σw,ExTrA4T 2 (ppm) . . . . . . . . log𝒰(0.01, 5000) 1.66−1.53+34.90$\[1.66_{-1.53}^{+34.90}\]$
Offset relative flux, MLCO–i′ (×10−4) . . 𝒩(0, 2000) 39.14−0.96+0.97$\[39.14_{-0.96}^{+0.97}\]$
Jitter, σw,LCO–i′ (ppm) . . . . . . . . . log𝒰(0.1, 1000) 4.2−3.6+40.4$\[4.2_{-3.6}^{+40.4}\]$
Offset relative flux, MLCO–g′ (×10−4) . . 𝒩(0, 2000) 230.5−9.7+10.1$\[230.5_{-9.7}^{+10.1}\]$
Jitter, σw,LCO–g′ (ppm) . . . . . . . . . log𝒰(0.1, 1000) 34.6−31.0+309.8$\[34.6_{-31.0}^{+309.8}\]$
Instrumental RV parameters
Systemic RV, μNIRPS (m/s) . . . . . . . 𝒰(10000, 20000) 14783.20−103.06+79.74$\[14783.20_{-103.06}^{+79.74}\]$
Jitter, σw,NIRPS (m/s) . . . . . . . . . . log𝒰(0.001, 100) 17.64 ± 2.16
Systemic RV, μHARPS (m/s) . . . . . . . 𝒰(10000, 20000) 14688.28−102.61+80.74$\[14688.28_{-102.61}^{+80.74}\]$
Jitter, σw,HARPS (m/s) . . . . . . . . . log𝒰(0.001, 100) 13.52−1.14+1.25$\[13.52_{-1.14}^{+1.25}\]$
GP/detrending parameters
ρGP,TESSS 10 (days) . . . . . . . . . . . . log𝒰(0.001, 50) 0.62−0.39+0.66$\[0.62_{-0.39}^{+0.66}\]$
σGP,TESSS 10 (10−4 relative flux) . . . . . . log𝒰(10−2, 5 × 105) 6.63−1.24+1.49$\[6.63_{-1.24}^{+1.49}\]$
ρGP,TESSS 11 (days) . . . . . . . . . . . . log𝒰(0.001, 50) 19.00−6.68+9.90$\[19.00_{-6.68}^{+9.90}\]$
σGP,TESSS 11 (10−4 relative flux) . . . . . . log𝒰(10−2, 5 × 105) 18.8+7.0+12.9$\[18.8_{+7.0}^{+12.9}\]$
ρGP,ExTrA1T 1 (days) . . . . . . . . . . . log𝒰(0.001, 10) 2.05−1.01+1.68$\[2.05_{-1.01}^{+1.68}\]$
σGP,ExTrA1T 1 (10−2 relative flux) . . . . . log𝒰(10−4, 102) 20.2−10.1+21.6$\[20.2_{-10.1}^{+21.6}\]$
ρGP,ExTrA2T 1 (days) . . . . . . . . . . . log𝒰(0.001, 10) 0.06−0.04+0.98$\[0.06_{-0.04}^{+0.98}\]$
σGP,ExTrA2T 1 (10−2 relative flux) . . . . . log𝒰(10−4, 102) 1.2−0.9+27.2$\[1.2_{-0.9}^{+27.2}\]$
ρGP,ExTrA3T 1 (days) . . . . . . . . . . . log𝒰(0.001, 10) 1.36−0.53+0.84$\[1.36_{-0.53}^{+0.84}\]$
σGP,ExTrA3T 1 (10−2 relative flux) . . . . . log𝒰(10−4, 102) 18.0−9.2+16.6$\[18.0_{-9.2}^{+16.6}\]$
ρGP,ExTrA4T 1 (days) . . . . . . . . . . . log𝒰(0.001, 10) 0.41−0.32+0.54$\[0.41_{-0.32}^{+0.54}\]$
σGP,ExTrA4T 1 (10−2 relative flux) . . . . . log𝒰(10−4, 102) 8.2−6.816.2$\[8.2_{-6.8}^{+16.2}\]$
ρGP,ExTrA1T 2 (days) . . . . . . . . . . . log𝒰(0.001, 10) 1.19−0.61+0.89$\[1.19_{-0.61}^{+0.89}\]$
σGP,ExTrA1T 2 (10−2 relative flux) . . . . . log𝒰(10−4, 102) 25.716.3+27.5$\[25.7_{16.3}^{+27.5}\]$
ρGP,ExTrA2T 2 (days) . . . . . . . . . . . log𝒰(0.001, 10) 5.6−2.0+2.3$\[5.6_{-2.0}^{+2.3}\]$
σGP,ExTrA2T 2 (10−2 relative flux) . . . . . log𝒰(10−4, 102) 7.2−3.3+10.3$\[7.2_{-3.3}^{+10.3}\]$
ρGP,ExTrA3T 2 (days) . . . . . . . . . . . log𝒰(0.001, 10) 1.02−0.74+1.49$\[1.02_{-0.74}^{+1.49}\]$
σGP,ExTrA3T 2 (10−2 relative flux) . . . . . log𝒰(10−4, 102) 12.5−10.2+22.5$\[12.5_{-10.2}^{+22.5}\]$
ρGP,ExTrA4T 2 (days) . . . . . . . . . . . log𝒰(0.001, 10) 0.40−0.25+0.82$\[0.40_{-0.25}^{+0.82}\]$
σGP,ExTrA4T 2 (10−2 relative flux) . . . . . log𝒰(10−4, 102) 1.6−1.1+5.0$\[1.6_{-1.1}^{+5.0}\]$
θ0,LCO–g′ (10−4 relative flux) . . . . . . . 𝒰(-106, 106) 129.3−7.4+7.9$\[129.3_{-7.4}^{+7.9}\]$
Limb darkening parameters
q1,TESS . . . . . . . . . . . . . . . . 𝒩(0.792, 0.029) 0.794−0.019+0.017$\[0.794_{-0.019}^{+0.017}\]$
q2,TESS . . . . . . . . . . . . . . . . 𝒩(0.453, 0.022) 0.456−0.016+0.015$\[0.456_{-0.016}^{+0.015}\]$
q1,ExTrA . . . . . . . . . . . . . . . . 𝒩(0.779, 0.074) 0.744−0.044+0.038$\[0.744_{-0.044}^{+0.038}\]$
q2,ExTrA . . . . . . . . . . . . . . . . 𝒩(0.284, 0.028) 0.287−0.017+0.016$\[0.287_{-0.017}^{+0.016}\]$
q1,LCO-i′ . . . . . . . . . . . . . . . . 𝒩(0.825, 0.023) 0.814 ± 0.016
q2LCO-i′ . . . . . . . . . . . . . . . . 𝒩(0.506, 0.030) 0.514−0.017+0.019$\[0.514_{-0.017}^{+0.019}\]$
q1,LCO-g′ . . . . . . . . . . . . . . . . 𝒩(0.888, 0.011) 0.887−0.006+0.007$\[0.887_{-0.006}^{+0.007}\]$
q2,LCO-g′ . . . . . . . . . . . . . . . . 𝒩(0.664, 0.015) 0.671 ± 0.011

Notes. 𝒩(μ, σ2) indicates a normal distribution with mean μ and variance σ2, 𝒰(a, b) a uniform distribution between a and b and log𝒰(a, b) a log-uniform distribution between a and b.

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