Table A.1.
Prior hyper-parameters adopted for the peak detection, sinc2, and blending testing performed within CHUNK.
| Model | Free parameter (units) | ℓ | Evolutionary stage | Uniform Prior range | Configuring parameter value |
|---|---|---|---|---|---|
| ℳA, ℳB | σnoise | 0,1,2,3 | Any | [a1,a2] | a1 = 0.95, a2 = 1.05 |
| ℳB | νi, 0 (μHz) | 0,2 | Δν ≥ Δνthresh | [ra(ℓ = 2),rb(ℓ=0)] | – |
| Δν < Δνthresh | [νf, i−σf, i,νf, i+σf, i] | – | |||
| 1,3 | Any | [νf, i−σf, i,νf, i+σf, i] | – | ||
| Ai (ppm) | 0 | Δν ≥ Δνthresh |
 |
η = 3 | |
| Δν < Δνthresh |
 |
η = 3 | |||
| 1 | Δν ≤ ΔνSG and Teff ≥ Teff, SG, or Δν ≥ ΔνSG |
 |
η = 6 | ||
| Δν < ΔνSG and Teff < Teff, SG |
 |
η = 1.5 | |||
| 2 | Δν ≥ Δνthresh |
 |
η = 3 | ||
| Δν < Δνthresh |
 |
η = 8 | |||
| 3 | Any |
 |
η = 3 | ||
| Γi (μHz) | 0 | Any | [Γmin,ηΓ0] | Γmin = 10−4, η = 3 | |
| 1 | Δν ≤ ΔνSG and Teff ≥ Teff, SG, or Δν ≥ ΔνSG | [Γmin,ηΓ0] | Γmin = 10−4, η = 6 | ||
| Δν < ΔνSG and Teff < Teff, SG | [Γmin,ηΓ0] | Γmin = 10−4, η = 1.5 | |||
| 2 | Δν ≥ Δνthresh | [Γmin,ηΓ0] | Γmin = 10−4, η = 3 | ||
| Δν < Δνthresh | [Γmin,ηΓ0] | Γmin = 10−4, η = 8 | |||
| 3 | Any | [Γmin,ηΓ0] | Γmin = 10−4, η = 3 | ||
| ℳC | σnoise | 1 | Δν < ΔνRG | [a1,a2] | a1 = 0.95, a2 = 1.05 |
| νi, 0 (μHz) | 1 | Δν < ΔνRG | [νf, i−σf, i,νf, i+σf, i] | – | |
| Hi (ppm2/μHz) | 1 | Δν < ΔνRG | [0,1.5Si, max] | – | |
| ℳD | σnoise | 0,2 | Δν ≥ Δνthresh | [a1,a2] | a1 = 0.95, a2 = 1.05 |
 (μHz) |
0,2 | Δν ≥ Δνthresh | [νf, i−σf, i,νf, i+σf, i]ℓ = 0, ℓ = 2 | – | |
 (ppm) |
0,2 | Δν ≥ Δνthresh |
 |
η = 3 | |
 (μHz) |
0,2 | Δν ≥ Δνthresh | [Γmin,ηΓ0] | Γmin = 10−4, η = 3 | |
Notes. Each prior can be identified with its corresponding free parameter and fitting model, and may change as a function of the angular degree ℓ of the mode being tested and on the general evolutionary stage classification of the star (reported in terms of Δν and Teff thresholds), as presented in Sects. 5.3. The values of the configuring parameters used to set up each prior, if any, are listed in the last column. Some of the free parameters are the same for different models.
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