The CARMENES search for exoplanets around M dwarfs - A sub-Neptunian mass planet in the habitable zone of HN Lib

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Volume 675 (July 2023)

A&A, 675 (2023) A141

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Table 4

Bayesian model comparison for the RV data.

Model	Priors (d)	Posteriors (d)	ln 𝒵	∆ ln 𝒵	max. log likelihood
0P + dSHO_(96d)	𝒩_Prot,GP(96, 6)	94.9273	−397.7	−15.0	−378.4
1P_{(36 d-ecc)} + dSHO_{(96 d)}	𝒰_b(30, 40)	36.1234	−388.7	−6.0	−351.6
	𝒩_Prot,GP(96, 6)	103.1397
1P_{(36 d-circ)} + dSHO_{(96 d)}	𝒰_b(30, 40)	36.1185	−388.6	−5.9	−355.4
	𝒩_Prot,GP(96, 6)	101.1691
2P_{(36 d-ecc, 113 d-ecc)} + dSHO_{(96 d)}	𝒰_b(30, 40)	36.1154	−387.1	−4.4	−344.0
	𝒰_c(100, 120)	113.4702
	𝒩_Prot,GP(96, 6)	98.3681
2P_{(36 d-circ, 113 d-ecc)} + dSHO_{(96 d)}	𝒰_b(30, 40)	36.1234	−384.5	−1.8	−341.6
	𝒰_c(100, 120)	113.4132
	𝒩_Prot,GP(96, 6)	98.3081
2P_{(36 d-circ, 113 d-circ)} + dSHO_{(96 d)}	𝒰_b(30, 40)	36.1173	−382.9	−0.2	−344.1
	𝒰_c(100, 120)	113.4677
	𝒩_Prot,GP(96, 6)	99.2176
2P_{(36 d-ecc, 113 d-circ)} + dSHO_{(96 d)}	𝒰_b(30, 40)	36.1186	−382.7	0.0	−341.9
	𝒰_c(100, 120)	113.4634
	𝒩_Prot,GP(96, 6)	97.6017

Notes. The model used for the final fit is the 2P_{(36d-ecc, 113d-circ)} + dSHO-GP_(96d) model highlighted in boldface. Wide, unconstrained priors are denoted as “blind”.

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