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Table 5.

Constraints on Δα/α and τn for the unification, dilaton, and clocks models for the various choices of primordial abundances and priors used in the analysis.

Unification
Dilaton
Clocks
Abundances Δα/α (ppm) τn (s) Δα/α (ppm) τn (s) Δα/α (ppm) τn (s)
Baseline (No prior) 13.5 ± 3.0 840.8 ± 26.9 26.2 ± 5.0 811.4 ± 28.7 837.0 ± 26.4
Baseline (With prior) 12.4 ± 2.9 879.3 ± 1.6 21.2 ± 4.6 879.3 ± 1.6 879.4 ± 1.6

Null (No prior) 5.1 ± 4.2 870.4 ± 29.0 11.8 ± 10.2 852.8 ± 38.4 869.2 ± 29.3
Null (With prior) 4.6 ± 3.8 879.5 ± 1.6 6, 6 ± 6.9 879.4 ± 1.6 879.5 ± 1.6

Extended (No prior) 13.5 ± 3.0 841.0 ± 27.0 25.6 ± 5.0 812.7 ± 28.7 837.0 ± 26.4
Extended (With prior) 12.4 ± 4.9 879.3 ± 1.6 20.8 ± 4.6 879.3 ± 1.6 879.4 ± 1.6

Notes. The listed values correspond to the best fit in each case and to the range of values within Δχ2 = 4 of it (corresponding to the 95.4% confidence level for a Gaussian posterior likelihood).

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