Euclid preparation - LXXXIII. The impact of redshift interlopers on the two-point correlation function analysis

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Volume 707 (March 2026)

A&A, 707 (2026) A233

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Table 6.

Best fit, percent relative error, and χ² values for the AP parameters in all the redshift bins for both correct and contaminated catalogues, with α_∥ and α_⊥ values shifted by subtracting 1.

	α_∥ − 1	α_⊥ − 1	σ_{α_∥}/α_∥[%]	σ_{α_⊥}/α_⊥[%]	${\tilde{χ}}^{2}$ $Mathematical equation: $ \tilde{\chi}^2 $$
z1 correct	$0 . 006_{- 0.060}^{+ 0.065}$ $Mathematical equation: $ 0.006^{+0.065}_{-0.060} $$	$0 . 008_{- 0.029}^{+ 0.028}$ $Mathematical equation: $ 0.008^{+0.028}_{-0.029} $$	6.17	2.80	0.99
z1 contam	$0 . 004_{- 0.062}^{+ 0.069}$ $Mathematical equation: $ 0.004^{+0.069}_{-0.062} $$	$0 . 006_{- 0.029}^{+ 0.033}$ $Mathematical equation: $ 0.006^{+0.033}_{-0.029} $$	6.51	3.06	1.06
z2 correct	$0 . 002_{- 0.051}^{+ 0.058}$ $Mathematical equation: $ 0.002^{+0.058}_{-0.051} $$	$0 . 003_{- 0.022}^{+ 0.023}$ $Mathematical equation: $ 0.003^{+0.023}_{-0.022} $$	5.40	2.25	0.98
z2 contam	$0 . 002_{- 0.057}^{+ 0.061}$ $Mathematical equation: $ 0.002^{+0.061}_{-0.057} $$	$0 . 005_{- 0.028}^{+ 0.030}$ $Mathematical equation: $ 0.005^{+0.030}_{-0.028} $$	5.89	2.87	0.98
z3 correct	$0 . 004_{- 0.048}^{+ 0.052}$ $Mathematical equation: $ 0.004^{+0.052}_{-0.048} $$	$0 . 007_{- 0.021}^{+ 0.021}$ $Mathematical equation: $ 0.007^{+0.021}_{-0.021} $$	4.97	2.07	1.00
z3 contam	$0 . 000_{- 0.053}^{+ 0.061}$ $Mathematical equation: $ 0.000^{+0.061}_{-0.053} $$	$0 . 009_{- 0.025}^{+ 0.026}$ $Mathematical equation: $ 0.009^{+0.026}_{-0.025} $$	5.67	2.51	1.06
z4 correct	$0 . 007_{- 0.040}^{+ 0.040}$ $Mathematical equation: $ 0.007^{+0.040}_{-0.040} $$	$0 . 007_{- 0.018}^{+ 0.018}$ $Mathematical equation: $ 0.007^{+0.018}_{-0.018} $$	3.93	1.78	1.08
z4 contam	$0 . 006_{- 0.037}^{+ 0.036}$ $Mathematical equation: $ 0.006^{+0.036}_{-0.037} $$	$0 . 007_{- 0.016}^{+ 0.018}$ $Mathematical equation: $ 0.007^{+0.018}_{-0.016} $$	3.66	1.65	1.01

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