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Table A.1.

Summary of the forecasted precision on f NL loc Mathematical equation: $ f_{\mathrm{NL}}^{\mathrm{loc}} $ and the precision on the bias parameter σ(b0)/b0 for the different analysis cases we explore in this paper.

Analysis case σ ( f NL loc ) Mathematical equation: $ \sigma(f_{\mathrm{NL}}^{\mathrm{loc}}) $ σ(b0)/b0

Section 6.1: Baseline sample UNIONSlike_RF
n ¯ gal = 1 , 100 Mathematical equation: $ \bar{n}_{\mathrm{gal}} = 1,100 $ deg2, Ssurvey = 3, 730 deg2

Cgg + Cgk 7 (20%) 0.01
C + Cgg( > 100) 25 (73%) 0.02
C-only 34 (100%) 0.08
C( > 25) 61 (179%) 0.09
C-only (Polar.-only) 94 (276%) 0.2

Section 6.1.2: Impact of bϕ(b) modeling

pΦ = 0.2-2 25 (73%)-62(180%) 0.08-0.14

Section 6.1.3: Impact of linear bias modeling

b0 × (1.0 + 3.5) 44 (129%) 0.08

b0 × (1.0 + bW19) 36 (105%) 0.07
1.0 + b0 × 3.5 38 (112%) 0.09
1.0 + b0 × bW19 34 (100%) 0.08

Section 6.1.4: Impact of the outliers fraction

fout = 0 (no z < 1 outliers) 16 (47%) 0.09
UNIONSlike_RF_u180s 36 (105%) 0.08
LSSTY4like_RF_u2x180s 28 (82%) 0.08
baseline high-z only 15 (44%) 0.11
baseline (DESI-2h/4h exp.) 22/20 (64%/58%) 0.12

Section 6.1.5: Uncertainty on n(z): baseline sample

20% error on n(z) 35 (102%) 0.08
high-z SSM Δz, Δs = 0.1, 0.1 35 (102%) 0.08

Section 6.2: Color-box selection on GAaP UNIONS data
n ¯ gal = 1 , 400 Mathematical equation: $ \bar{n}_{\mathrm{gal}} = 1,400 $ deg2, Ssurvey = 4, 760 deg2

n(z) CLAUDS+HSC calib. 20 (23) 0.07
+ (DESI-2h/4h exp.) 21 (24)/19 (22) 0.09

n(z)b(z) CZ-calib.+beff 57 (65) -
+err DESI DR1 134 (151) -
+err DESI DR3-like 105 (118) -
n(z)b(z) CZ-calib.+b0bW19 55 (62) -
+err DESI DR1 147 (166) -
+err DESI DR3-like 120 (135) -

Notes. For the part dedicated to Section 6.1, the percentages in the f NL loc Mathematical equation: $ f_{\mathrm{NL}}^{\mathrm{loc}} $ column tells how the f NL loc Mathematical equation: $ f_{\mathrm{NL}}^{\mathrm{loc}} $ constraints compares to the baseline, which yields σ ( f NL loc ) = 34 Mathematical equation: $ \sigma(f_{\mathrm{NL}}^{\mathrm{loc}}) = 34 $. For the part dedicated to Section 6.2, the constraints in parentheses are obtained by rescaling the forecast error by 4 , 760 / 3 , 730 Mathematical equation: $ \sqrt{4,760/3,730} $, to help isolate the gains due to sample properties versus simple volume expansion.

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