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Table 2.

Summary of the most promising selection criteria.

Survey AGN type Colours z cut l1 l2 m q C P F1 N [deg−2] Fig.
EDS AGN1 IE − YE, IE − HE 0 . 3 − 0.0 + 0.0 $ 0.3_{-0.0}^{+0.0} $ 0 . 5 − 0.0 + 0.0 $ 0.5_{-0.0}^{+0.0} $ − 1 . 6 − 0.0 + 0.7 $ -1.6_{-0.0}^{+0.7} $ 0 . 8 − 0.1 + 0.0 $ 0.8_{-0.1}^{+0.0} $ 0.239 ± 0.005 0.230 ± 0.004 0.235 ± 0.002 2463 ± 79 3
EDS AGN1 IE − YE, IE − HE 0.7 ≤ z ≤ 4.4 0 . 3 − 0.0 + 0.0 $ 0.3_{-0.0}^{+0.0} $ 0 . 5 − 0.0 + 0.0 $ 0.5_{-0.0}^{+0.0} $ − 1 . 6 − 0.0 + 0.7 $ -1.6_{-0.0}^{+0.7} $ 0 . 8 − 0.1 + 0.0 $ 0.8_{-0.1}^{+0.0} $ 0.238 ± 0.005 0.988 ± 0.001 0.384 ± 0.006 507 ± 10 3
EDS AGN1 u − z, IE − HE 1 . 2 − 0.1 + 0.0 $ 1.2^{+0.0}_{-0.1} $ 1 . 1 − 0.1 + 0.0 $ 1.1_{-0.1}^{+0.0} $ − 1 . 2 − 0.1 + 01 $ -1.2_{-0.1}^{+01} $ 1 . 7 − 0.0 + 0.1 $ 1.7_{-0.0}^{+0.1} $ 0.775 ± 0.012 0.915 ± 0.019 0.841 ± 0.005 1357 ± 45 13
EDS AGN1 u − z, IE − HE z ≤ 2.1 1 . 2 − 0.1 + 0.0 $ 1.2^{+0.0}_{-0.1} $ 1 . 1 − 0.1 + 0.0 $ 1.1_{-0.1}^{+0.0} $ − 1 . 2 − 0.1 + 01 $ -1.2_{-0.1}^{+01} $ 1 . 7 − 0.0 + 0.1 $ 1.7_{-0.0}^{+0.1} $ 0.820 ± 0.013 0.898 ± 0.014 0.858 ± 0.002 1356 ± 45 13
EDS AGN1 [ 3.6 ] − [ 4.5 ] $ \rm [3.6]-[4.5] $, IE − YE − 0 . 1 − 0.2 + 0.0 $ -0.1_{-0.2}^{+0.0} $ 1 . 0 − 0.0 + 0.0 $ 1.0_{-0.0}^{+0.0} $ − 2 . 0 − 0.3 + 0.0 $ -2.0_{-0.3}^{+0.0} $ 0 . 0 − 0.0 + 0.1 $ 0.0_{-0.0}^{+0.1} $ 0.562 ± 0.002 0.624 ± 0.008 0.591 ± 0.002 1371 ± 40 21
EDS AGN1 [ 3.6 ] − [ 4.5 ] $ \rm [3.6]-[4.5] $, IE − YE 0.7 ≤ z ≤ 2.4 − 0 . 1 − 0.2 + 0.0 $ -0.1_{-0.2}^{+0.0} $ 1 . 0 − 0.0 + 0.0 $ 1.0_{-0.0}^{+0.0} $ − 2 . 0 − 0.3 + 0.0 $ -2.0_{-0.3}^{+0.0} $ 0 . 0 − 0.0 + 0.1 $ 0.0_{-0.0}^{+0.1} $ 0.764 ± 0.008 0.982 ± 0.002 0.859 ± 0.005 718 ± 9 21
EDS All-AGN g − r, IE − YE 0 . 3 − 0.0 + ∞ $ 0.3_{-0.0}^{+\infty} $ 1 . 7 − 0.0 + ∞ $ 1.7_{-0.0}^{+\infty} $ − 3 . 5 − 0.1 + 0.0 $ -3.5_{-0.1}^{+0.0} $ 0 . 9 − 0.0 + 0.0 $ 0.9_{-0.0}^{+0.0} $ 0.179 ± 0.001 0.576 ± 0.009 0.272 ± 0.001 5331 ± 56 14
EDS All-AGN g − r, IE − YE 1.7 ≤ z ≤ 2.5 0 . 3 − 0.0 + ∞ $ 0.3_{-0.0}^{+\infty} $ 1 . 7 − 0.0 + ∞ $ 1.7_{-0.0}^{+\infty} $ − 3 . 5 − 0.1 + 0.0 $ -3.5_{-0.1}^{+0.0} $ 0 . 9 − 0.0 + 0.0 $ 0.9_{-0.0}^{+0.0} $ 0.715 ± 0.001 0.765 ± 0.006 0.739 ± 0.003 3299 ± 32 14
EWS AGN1 IE − YE, IE − JE 0 . 5 − 0.0 + 0.1 $ 0.5_{-0.0}^{+0.1} $ 0 . 7 − 0.0 + 0.1 $ 0.7_{-0.0}^{+0.1} $ − 2 . 1 − 0.5 + 0.4 $ -2.1_{-0.5}^{+0.4} $ 0 . 9 − 0.1 + 0.1 $ 0.9_{-0.1}^{+0.1} $ 0.347 ± 0.004 0.166 ± 0.015 0.224 ± 0.001 1850 ± 120 9
EWS AGN1 IE − YE, IE − JE 0.7 ≤ z < 5 0 . 5 − 0.0 + 0.1 $ 0.5_{-0.0}^{+0.1} $ 0 . 7 − 0.0 + 0.1 $ 0.7_{-0.0}^{+0.1} $ − 2 . 1 − 0.5 + 0.4 $ -2.1_{-0.5}^{+0.4} $ 0 . 9 − 0.1 + 0.1 $ 0.9_{-0.1}^{+0.1} $ 0.314 ± 0.015 0.705 ± 0.004 0.432 ± 0.015 390 ± 20 9
EWS AGN1 u − z, IE − HE 1 . 2 − 0.0 + 0.0 $ 1.2_{-0.0}^{+0.0} $ 1 . 1 − 0.0 + 0.1 $ 1.1_{-0.0}^{+0.1} $ − 1 . 3 − 0.0 + 0.2 $ -1.3_{-0.0}^{+0.2} $ 1 . 9 − 0.1 + 0.0 $ 1.9_{-0.1}^{+0.0} $ 0.813 ± 0.011 0.922 ± 0.017 0.861 ± 0.004 659 ± 16 16
EWS AGN1 u − z, IE − HE z ≤ 2.1 1 . 2 − 0.0 + 0.0 $ 1.2_{-0.0}^{+0.0} $ 1 . 1 − 0.0 + 0.1 $ 1.1_{-0.0}^{+0.1} $ − 1 . 3 − 0.0 + 0.2 $ -1.3_{-0.0}^{+0.2} $ 1 . 9 − 0.1 + 0.0 $ 1.9_{-0.1}^{+0.0} $ 0.850 ± 0.000 0.900 ± 0.011 0.874 ± 0.001 658 ± 16 16
EWS All-AGN u − r, IE − YE 0 . 2 − 0.0 + 0.0 $ 0.2_{-0.0}^{+0.0} $ − 0 . 9 − 0.1 + 0.0 $ -0.9_{-0.1}^{+0.0} $ 0 . 8 − 0.0 + 0.0 $ 0.8_{-0.0}^{+0.0} $ 0.310 ± 0.001 0.236 ± 0.002 0.268 ± 0.001 8070 ± 23 17
EWS All AGN u − r, IE − YE 1.7 ≤ z ≤ 2.3 0 . 2 − 0.0 + 0.0 $ 0.2_{-0.0}^{+0.0} $ − 0 . 9 − 0.1 + 0.0 $ -0.9_{-0.1}^{+0.0} $ 0 . 8 − 0.0 + 0.0 $ 0.8_{-0.0}^{+0.0} $ 0.609 ± 0.004 0.571 ± 0.002 0.589 ± 0.003 873 ± 3 17

Notes. The top table shows a summary of the most promising selection criteria derived in this work for different Euclid surveys and AGN type. We report also the colours used, the redshift cut considered (if present), the parameters of the best selection (i.e. l1, l2, m, and q, see Eq. (5)), the completeness, the purity, the F1 score, the number of sources selected (true and false positives) in 1deg2, as derived from the mock catalogues, and the reference figure. Selections that do not include values for the l2 parameter do not require the horizontal colour selection. Uncertainties are derived by performing a bootstrap analysis.

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