Separating deterministic and stochastic gravitational wave signals in realistic pulsar timing array datasets

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Volume 694 (February 2025)

A&A, 694 (2025) A194

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Table 2.

GWB recovery performed on datasets including only a GWB or a CGW.

Dataset	$B_{CURN}^{GWB}$ $\mathcal{B}^{\mathrm{GWB}}_{\mathrm{CURN}}$	S/N (γ)	log₁₀A_GWB	γ_GWB
injGWB01	9600 ± 500	$6 . 9_{- 1.4}^{+ 1.3} (13 / 3)$ $6.9_{-1.4}^{+1.3}\quad (13/3)$	$- 14 . 73_{- 0.36}^{+ 0.30}$ $-14.73_{-0.36}^{+0.30}$	$4 . 55_{- 0.68}^{+ 0.66}$ $4.55_{-0.68}^{+0.66}$
injGWB02	106.7 ± 0.59	$3 . 6_{- 0.6}^{+ 0.7} (13 / 3)$ $3.6_{-0.6}^{+0.7} \quad(13/3)$	$- 14 . 20_{- 0.19}^{+ 0.13}$ $-14.20_{-0.19}^{+0.13}$	$3 . 50_{- 0.27}^{+ 0.35}$ $3.50_{-0.27}^{+0.35}$
injGWB03	0.156 ± 0.003	$0 . 4_{- 0.5}^{+ 0.5} (13 / 3)$ $0.4_{-0.5}^{+0.5}\quad (13/3)$	$- 14 . 51_{- 0.15}^{+ 0.13}$ $-14.51_{-0.15}^{+0.13}$	$4 . 15_{- 0.28}^{+ 0.29}$ $4.15_{-0.28}^{+0.29}$
injCGW5	10	$3 . 0_{- 0.5}^{+ 0.5} (3)$ $3.0_{-0.5}^{+0.5}\quad (3)$	$- 14 . 01_{- 0.10}^{+ 0.09}$ $-14.01_{-0.10}^{+0.09}$	$3 . 09_{- 0.21}^{+ 0.23}$ $3.09_{-0.21}^{+0.23}$
injCGW20	60	$3 . 2_{- 0.6}^{+ 0.6} (2)$ $3.2_{-0.6}^{+0.6}\quad (2)$	$- 13 . 53_{- 0.05}^{+ 0.05}$ $-13.53_{-0.05}^{+0.05}$	$1 . 96_{- 0.16}^{+ 0.15}$ $1.96_{-0.16}^{+0.15}$

Notes. Columns are: dataset name, HD-correlated versus uncorrelated common red noise Bayes factor, HD S/N, and median and 68% credible region of the GWB amplitude and slope.

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