UNIONS: A direct measurement of intrinsic alignment with BOSS/eBOSS spectroscopy

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Table 2.

Mean and standard deviations of the posterior distributions of the three parameters and the reduced χ² values associated with the diagonal blocks of the covariance matrix.

	CMASS-UNIONS	LRG-UNIONS	ELG-UNIONS	CMASS-DES Y3	LRG-DES Y3	ELG-DES Y3
A₁	$4 . 02_{- 0.31}^{+ 0.31}$ $4.02^{+0.31}_{-0.31}$	$3 . 3_{- 1.0}^{+ 1.0}$ $3.3^{+1.0}_{-1.0}$	$3 . 1_{- 2.9}^{+ 3.3}$ $3.1^{+3.3}_{-2.9}$	$3 . 18_{- 0.64}^{+ 0.64}$ $3.18^{+0.64}_{-0.64}$	$6 . 4_{- 1.7}^{+ 2.0}$ $6.4^{+2.0}_{-1.7}$	$- 0 . 6_{- 1.0}^{+ 1.0}$ $-0.6^{+1.0}_{-1.0}$
b₁	$2 . 06_{- 0.01}^{+ 0.01}$ $2.06_{-0.01}^{+0.01}$	$2 . 21_{- 0.03}^{+ 0.03}$ $2.21^{+0.03}_{-0.03}$	$1 . 345_{- 0.77}^{+ 0.07}$ $1.345^{+0.07}_{-0.77}$	$2 . 00_{- 0.02}^{+ 0.02}$ $2.00^{+0.02}_{-0.02}$	$2 . 22_{- 0.03}^{+ 0.04}$ $2.22^{+0.04}_{-0.03}$	$1 . 38_{- 0.05}^{+ 0.07}$ $1.38^{+0.07}_{-0.05}$
b₂	$- 0 . 09_{- 0.09}^{+ 0.1}$ $-0.09_{-0.09}^{+0.1}$	$0 . 76_{- 0.28}^{+ 0.38}$ $0.76^{+0.38}_{-0.28}$	$- 0 . 43_{- 0.81}^{+ 0.90}$ $-0.43^{+0.90}_{-0.81}$	$0 . 19_{- 0.16}^{+ 0.19}$ $0.19^{+0.19}_{-0.16}$	$0 . 18_{- 0.55}^{+ 0.97}$ $0.18^{+0.97}_{-0.55}$	$- 0 . 74_{- 1.1}^{+ 0.57}$ $-0.74^{+0.57}_{-1.1}$
χ²(w_gg)	2.24	0.57	0.72	0.39	0.53	1.26
χ²(w_g+)	0.87	0.48	0.39	1.59	1.17	0.81
χ²(w₊₊)	0.80	0.31	0.34	0.21	0.47	0.53
Total χ²	1.40	0.43	0.57	0.71	0.67	0.84

Notes. Degrees of freedom are described in the text. The variation in galaxy bias parameters between UNIONS and DES can be explained by the different footprints used for the density tracers.

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