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Table E.9.

Differences between theoretical and observed values for the seismic constraints, for the several variations in physics, defined as δ = |Iobs − Ith|, in the units of the constraint.

Model Quantity 16CygA 16CygB
δ δ/σ δ δ/σ
AGSS09 Δ(μHz) 0.2 47.4 10−3 0.2
AHe 0.7 0.7 0.7 0.7
5 ⋅ 10−5 0.2 10−4 0.8
6 ⋅ 10−4 2.0 4 ⋅ 10−4 1.4
751.9
BIC 2266.2
Dturb Δ(μHz) 0.06 13.6 7 ⋅ 10−3 1.6
AHe 0.4 0.4 0.2 0.2
2 ⋅ 10−5 0.1 3 ⋅ 10−4 1.3
4 ⋅ 10−4 1.2 3 ⋅ 10−4 1.1
63.3
BIC 200.4
No Diff. Δ (μHz) 0.01 3.0 3 ⋅ 10−5 0.007
AHe 0.7 0.7 0.3 0.3
10−4 0.4 10−4 0.7
10−4 0.4 10−4 0.4
3.4
BIC 20.7
αov = 0.1 Δ (μHz) 0.3 59.7 1 ⋅ 104 0.03
AHe 0.8 0.8 0.6 0.6
3 ⋅ 10−5 0.1 2 ⋅ 10−4 0.9
5 ⋅ 10−4 1.6 4 ⋅ 10−4 1.6
1188.8
BIC 3576.7
αMLT Δ (μHz) 0.2 52.8 10−3 0.2
from Teff AHe 0.2 0.2 0.5 0.5
fit 2 ⋅ 10−4 1.0 4 ⋅ 10−4 2.0
4 ⋅ 10−4 1.3 6 ⋅ 10−4 2.2
928.4
BIC 2795.6
Vernazza Δ (μHz) 0.01 3.0 7 ⋅ 10−4 0.1
calibrated AHe 0.7 0.7 0.3 0.3
αMLT 10−4 0.4 10−4 0.7
10−4 0.4 10−4 0.4
2.9
BIC 19.2

Notes. is the reduced χ2 value where N is the number of constraints to the fit and k the number of free parameters. The BIC value is defined in Sect. 4.3.

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