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Table A.7

Inferred and derived parameters from the joint radial velocity and light-curves analysis (Sect. 4.3) for the preferred model.

Parameter Priors Posteriors
Planet b

Orbital period, Pb [days] 𝒢(1.8237371,0.0001)
Time of mid-transit, T0,b −1400000 [days] 𝒢(59248.377773,0.1)
Planet mass, Mb [M] 𝒰(0,5000)
Orbital inclination, ib [deg.] 𝒰(40,90)
Planet radius, Rb [R] 𝒰(0,20)
Planet density, ρb [g·cm−3] (derived)
Transit depth, Δb [ppt] (derived)
Orbit semi-major axis, ab [AU] (derived)
Relative orbital separation, ab/R (derived)
Transit duration, T14,b [hours] (derived)
Planet surface gravity, gb [m·s−2] (derived)
Impact parameter, bb/R (derived)
Incident flux, Finc,b [Finc,] (derived)
Equilibrium temperature, Teq,b [K] (derived)

Planet c

Orbital period, Pc [days] ℒ𝒰(100,5000)
Time of mid-transit, T0,c 1400000 [days] 𝒰(57200,62900)
Minimum mass, mc sin ic [MJup] 𝒰(0,30)
Orbital eccentricity, ec 𝒰(0,1)
Arg. periastron, ωc [deg.] 𝒰(0,360)
Orbit semi-major axis, ac [AU] (derived)
Relative orbital separation, ac/R (derived)
Incident flux, Finc,c [Finc,⊕] (derived)
Equilibrium temperature, Teq,c [K] (derived)

Stellar parameters

Stellar radius, R [R] 𝒯 (0.671,0.015,0.1,1.2)
Stellar mass, M [M] 𝒯 (0.734,0.014,0.1,1.2)
Stellar luminosity, L [L] (derived)
Limb-darkening u1, LCOHAL_gp 𝒯(0.592,0.05,0,1)
Limb-darkening u2, LCOHAL_gp 𝒯(0.141,0.05,0,1)
Limb-darkening u1, LCOHAL_ip 𝒯(0.539,0.05,0,1)
Limb-darkening u2, LCOHAL_ip 𝒯(0.155,0.05,0,1)
Limb-darkening u1, LCOHAL_rp 𝒯(0.7,0.05,0,1)
Limb-darkening u2, LCOHAL_rp 𝒯(0.078,0.05,0,1)
Limb-darkening u1, LCOHAL_zs 𝒯(0.416,0.05,0,1)
Limb-darkening u2, LCOHAL_zs 𝒯(0.195,0.05,0,1)
Limb-darkening u1, MEarth 𝒯(0.416,0.1,0,1)
Limb-darkening u2, MEarth 𝒯(0.195,0.1,0,1)

Instrument-dependent parameters

LC level TESS07 𝒰(-20,20)
LC level TESS34 𝒰(-20,20)
LC level LCOHAL_gp 𝒰(-200,200)
LC level LCOHAL_ip 𝒰(-200,200)
LC level LCOHAL_rp 𝒰(-200,200)
LC level LCOHAL_zs 𝒰(-200,200)
LC level MEarth 𝒰(-200,200)
LC jitter TESS07 [ppm] 𝒰(0,4000)
LC jitter TESS34 [ppm] 𝒰(0,4000)
LC jitter LCOHAL_gp [ppm] 𝒰(0,4000)
LC jitter LCOHAL_ip [ppm] 𝒰(0,4000)
LC jitter LCOHAL_rp [ppm] 𝒰(0,4000)
LC jitter LCOHAL_zs [ppm] 𝒰(0,4000)
LC jitter MEarth [ppm] 𝒰(0,4000)
δHarps [km s−1] 𝒰(-10,10)
δcoralie [km s−1] 𝒰(-10,10)
δpfs [km s−1] 𝒰(-10,10)
σHARPS [m/s] ℒ𝒰(0.1,2)
σCORALIE [m/s] ℒ𝒰(0.1,30)
σPFS [m/s] ℒ𝒰(0.1,5)

RV and LC Gaussian process hyperparameters

η1,LC [ppm] ℒ𝒰(10000)
η1,FWHM [m/s] ℒ𝒰(0.01,400)
η1 [m/s] ℒ𝒰(0.01,50)
η2 [days] 𝒰(-8.0,10)
η3 [days] 𝒢(24,1)
η4 𝒰(0.13,7.38)

Notes:

  • 𝒢(µ, σ): Normal distribution with mean µ and width σ

  • 𝒰(a, b): Uniform distribution between a and b

  • ℒ𝒰(a, b): Log-uniform distribution between a and b

  • 𝒯(µ, σ, a, b): Truncated normal distribution with mean µ and width σ, between a and b

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