Euclid: Relativistic effects in the dipole of the two-point correlation function

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Volume 694 (February 2025)

A&A, 694 (2025) A321

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Table B.1.

Specifics of the most representative galaxy samples.

split	centrals				centrals + satellites

	N_gal/10⁶	b	s_eff	${\bar{Ψ}}_{0}^{NFW} / c^{2} \times 10^{6}$ $\overline{\Psi}^{\mathrm{NFW}}_0/c^2 \times 10^6$	N_gal/10⁶	b	s_eff	${\bar{Ψ}}_{0}^{NFW} / c^{2} \times 10^{6}$ $\overline{\Psi}^{\mathrm{NFW}}_0/c^2 \times 10^6$

$\bar{z} = 1.0$ $\bar{z} = 1.0$
faint 90%	2.89	1.42 ± 0.02	0.68 ± 0.02	−3.38	3.25	1.55 ± 0.02	0.72 ± 0.03	−3.76
bright 10%	0.321	2.30 ± 0.04	1.44 ± 0.06	−11.5	0.361	2.42 ± 0.04	1.45 ± 0.05	−11.7

faint 50%	1.61	1.25 ± 0.01	0.62 ± 0.03	−2.23	/	/	/	/
bright 50%	1.61	1.75 ± 0.03	0.89 ± 0.04	−6.15	/	/	/	/

$\bar{z} = 1.2$ $\bar{z} = 1.2$

faint 90%	2.10	1.65 ± 0.03	0.76 ± 0.03	−4.13	2.48	1.79 ± 0.03	0.80 ± 0.03	−4.55
bright 10%	0.234	2.66 ± 0.05	1.54 ± 0.08	−12.8	0.275	2.78 ± 0.05	1.55 ± 0.06	−12.9

faint 50%	1.17	1.46 ± 0.03	0.68 ± 0.03	−2.86	/	/	/	/
bright 50%	1.17	2.04 ± 0.03	0.99 ± 0.02	−7.14	/	/	/	/

$\bar{z} = 1.4$ $\bar{z} = 1.4$

faint 90%	1.55	2.0 ± 0.03	0.83 ± 0.03	−4.66	1.81	2.13 ± 0.03	0.87 ± 0.03	−5.03
bright 10%	0.172	3.19 ± 0.07	1.46 ± 0.4	−13.9	0.201	3.24 ± 0.06	1.46 ± 0.05	−13.8

faint 50%	0.859	1.79 ± 0.03	0.71 ± 0.04	−3.30	/	/	/	/
bright 50%	0.859	2.43 ± 0.04	1.05 ± 0.03	−7.87	/	/	/	/
$\bar{z} = 1.65$ $\bar{z} = 1.65$

faint 90%	1.53	2.36 ± 0.04	0.89 ± 0.02	−6.16	1.78	2.59 ± 0.04	0.92 ± 0.03	−6.50
bright 10%	0.170	3.61 ± 0.08	1.6 ± 0.1	−15.4	0.197	3.70 ± 0.08	1.60 ± 0.07	−15.2

faint 50%	0.849	2.11 ± 0.04	0.72 ± 0.04	−4.55	/	/	/	/
bright 50%	0.849	2.85 ± 0.05	1.18 ± 0.05	−9.62	/	/	/	/

Notes. Biases were measured in real space and neglect flux magnification. We report the dimensionless quantity ${\bar{Ψ}}_{0}^{NFW} / c^{2}$ $\overline{\Psi}^{\mathrm{NFW}}_0/c^2$ , where ${\bar{Ψ}}_{0}^{NFW}$ $\overline{\Psi}^{\mathrm{NFW}}_0$ corresponds to the mean value of NFW potential at the galaxy positions for the selected objects. We did not consider the split (50% faint, 50% bright) for the case ‘centrals + satellites’.

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