Eccentricity effects on the supermassive black hole gravitational wave background

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Volume 691 (November 2024)

A&A, 691 (2024) A212

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Table 1

Log-likelihood differences and the posterior means and standard deviations for the considered parametrizations.

Model	−2 1n ℓ_max	p_BH	〈e〉_{2 nHz}	ƒ_ref (nHz)
GW only	0 (57.5)	${0.06}_{- 0.01}^{+ 0.01}$ $0.06_{ - 0.01}^{ + 0.01}$	0	0

GW + env.	−8.8	${0.37}_{- 0.05}^{+ 0.09}$ $0.37_{ - 0.05}^{ + 0.09}$	0	30
GW + ecc.	−12.4	${0.31}_{- 0.14}^{+ 0.40}$ $0.31_{ - 0.14}^{ + 0.40}$	${0.83}_{- 0.05}^{+ 0.04}$ $0.83_{ - 0.05}^{ + 0.04}$	0
		0.60	0.83
GW + ecc. + env.	−10.2	${0.35}_{- 0.10}^{+ 0.53}$ $0.35_{ - 0.10}^{ + 0.53}$	${0.77}_{- 0.43}^{+ 0.07}$ $0.77_{ - 0.43}^{ + 0.07}$	30
		0.90	0.83

Notes. The best-fit values for the multidimensional fits are given in small print. The log-likelihood differences are shown relative to the GW-only model, for which the absolute log-likelihood value is given in the parenthesis.

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