Tomographic cross correlations between galaxy surveys and the CMB gravitational lensing potential - Effect of the redshift bin mismatch

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Volume 687 (July 2024)

A&A, 687 (2024) A150

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Table 2.

Best-fit values of the linear galaxy bias b and the amplitude of cross-correlation A from simulations with σ₀ = 0.02.

z	b^true	No correction		With correction

		b	A	b	A
[0.0, 0.2)	1.3241	$1 . 3552_{- 0.0002}^{+ 0.0002}$ $1.3552^{+0.0002}_{-0.0002}$	$1 . 0243_{- 0.0110}^{+ 0.0110}$ $1.0243^{+0.0110}_{-0.0110}$	$1 . 3357_{- 0.0002}^{+ 0.0002}$ $1.3357^{+0.0002}_{-0.0002}$	$0 . 9952_{- 0.0125}^{+ 0.0124}$ $0.9952^{+0.0124}_{-0.0125}$
[0.2, 0.4)	1.3541	$1 . 3497_{- 0.0002}^{+ 0.0002}$ $1.3497^{+0.0002}_{-0.0002}$	$1 . 0269_{- 0.0064}^{+ 0.0064}$ $1.0269^{+0.0064}_{-0.0064}$	$1 . 3557_{- 0.0002}^{+ 0.0002}$ $1.3557^{+0.0002}_{-0.0002}$	$1 . 0014_{- 0.0069}^{+ 0.0069}$ $1.0014^{+0.0069}_{-0.0069}$
[0.4, 0.6)	1.3909	$1 . 3623_{- 0.0002}^{+ 0.0002}$ $1.3623^{+0.0002}_{-0.0002}$	$1 . 0440_{- 0.0054}^{+ 0.0053}$ $1.0440^{+0.0053}_{-0.0054}$	$1 . 3911_{- 0.0002}^{+ 0.0002}$ $1.3911^{+0.0002}_{-0.0002}$	$0 . 9990_{- 0.0057}^{+ 0.0058}$ $0.9990^{+0.0058}_{-0.0057}$
[0.6, 0.8)	1.4307	$1 . 3772_{- 0.0002}^{+ 0.0002}$ $1.3772^{+0.0002}_{-0.0002}$	$1 . 0645_{- 0.0050}^{+ 0.0050}$ $1.0645^{+0.0050}_{-0.0050}$	$1 . 4308_{- 0.0002}^{+ 0.0002}$ $1.4308^{+0.0002}_{-0.0002}$	$0 . 9998_{- 0.0053}^{+ 0.0054}$ $0.9998^{+0.0054}_{-0.0053}$
[0.8, 1.0)	1.4724	$1 . 3909_{- 0.0002}^{+ 0.0002}$ $1.3909^{+0.0002}_{-0.0002}$	$1 . 0816_{- 0.0049}^{+ 0.0049}$ $1.0816^{+0.0049}_{-0.0049}$	$1 . 4724_{- 0.0002}^{+ 0.0002}$ $1.4724^{+0.0002}_{-0.0002}$	$0 . 9999_{- 0.0053}^{+ 0.0053}$ $0.9999^{+0.0053}_{-0.0053}$
[1.0, 1.4)	1.5337	$1 . 4907_{- 0.0002}^{+ 0.0002}$ $1.4907^{+0.0002}_{-0.0002}$	$1 . 0465_{- 0.0037}^{+ 0.0037}$ $1.0465^{+0.0037}_{-0.0037}$	$1 . 5329_{- 0.0002}^{+ 0.0002}$ $1.5329^{+0.0002}_{-0.0002}$	$1 . 0003_{- 0.0038}^{+ 0.0038}$ $1.0003^{+0.0038}_{-0.0038}$
[1.4, 1.8)	1.6217	$1 . 5496_{- 0.0002}^{+ 0.0002}$ $1.5496^{+0.0002}_{-0.0002}$	$1 . 0691_{- 0.0040}^{+ 0.0041}$ $1.0691^{+0.0041}_{-0.0040}$	$1 . 6223_{- 0.0002}^{+ 0.0002}$ $1.6223^{+0.0002}_{-0.0002}$	$1 . 0005_{- 0.0042}^{+ 0.0042}$ $1.0005^{+0.0042}_{-0.0042}$
[1.8, 2.2)	1.7118	$1 . 5832_{- 0.0003}^{+ 0.0003}$ $1.5832^{+0.0003}_{-0.0003}$	$1 . 0963_{- 0.0047}^{+ 0.0047}$ $1.0963^{+0.0047}_{-0.0047}$	$1 . 7149_{- 0.0003}^{+ 0.0003}$ $1.7149^{+0.0003}_{-0.0003}$	$0 . 9986_{- 0.0048}^{+ 0.0048}$ $0.9986^{+0.0048}_{-0.0048}$
[2.2, 3.0)	1.8277	$1 . 7318_{- 0.0005}^{+ 0.0005}$ $1.7318^{+0.0005}_{-0.0005}$	$1 . 0668_{- 0.0047}^{+ 0.0047}$ $1.0668^{+0.0047}_{-0.0047}$	$1 . 8137_{- 0.0004}^{+ 0.0004}$ $1.8137^{+0.0004}_{-0.0004}$	$1 . 0050_{- 0.0047}^{+ 0.0048}$ $1.0050^{+0.0048}_{-0.0047}$

Notes. The galaxy bias b and amplitude of cross-correlation A are estimated from the average power spectra of 300 simulations before the correction for leakage and after correction through the scattering matrix approach. b^true is the true value of the galaxy bias for the tomographic bins. The error bars on the parameters correspond to the average of 300 realisations.

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