Connecting low-redshift LISA massive black hole mergers to the nHz stochastic gravitational wave background

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Table 1.

Set of values assigned to the free parameters in every model.

Model	$f_{BH}^{merger}$ ${f}_{\mathrm{BH}}^{\mathrm{merger}}$	$f_{BH}^{DI}$ ${f}_{\mathrm{BH}}^{\mathrm{DI}}$	A (at 1 yr⁻¹)
Quiet	0.020	0.0015	$1 . 2_{0.8}^{1.5} \times 10^{- 15}$ $1.2^{1.5}_{0.8} \times 10^{-15}$
Boosted	0.045	0.0015	$2 . 0_{1.2}^{2.8} \times 10^{- 15}$ $2.0^{2.8}_{1.2} \times 10^{-15}$
Loud	0.042	0.0015	$1 . 8_{1.2}^{2.3} \times 10^{- 15}$ $1.8^{2.3}_{1.2} \times 10^{-15}$

Notes. The errors on the sGWB amplitude have been computed by dividing the Millennium box into sub-boxes of 100 Mpc side-length. Then, it was computed with all of them the 16th and 84th percentile of A at 1 yr⁻¹.

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