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Volume 697 (May 2025)

A&A, 697 (2025) A1

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Table 5

Reference values and prior probability distributions for the cosmological and nuisance parameters of the w₀ w_aCDM and ΛCDM + γ_g models (adopting a flat geometry).

Parameters		Fiducial value	Prior
	Cosmology

Dimensionless Hubble constant	h	0.6737	𝒰(0.55, 0.91)
Present-day physical baryon density	Ω_bh²	0.0227	𝒩(0.0227, 0.00038)
Present-day physical cold dark matter density	Ω_ch²	0.1219	𝒰(0.01, 0.37)
Dark energy equation-of-state parameters	{w₀, w_a}	{−1, 0}	{𝒰(−3.0, −0.5), 𝒰(−3.0, 3.0)}
Slope primordial curvature power spectrum	n_s	0.966	𝒰(0.87, 1.07)
Amplitude of the primordial curvature power spectrum	ln 10¹⁰ A_s	3.04	𝒰(1.6, 3.9)
Growth index	γ_g	0.545	𝒰(0.01, 1.1)
Baryonic feedback efficiency factor of the `HMCode` emulator	log₁₀(T_AGN/K)	7.75	𝒩(7.75, 0.17825)

	Photometric sample

Amplitude of intrinsic alignments	A_IA	0.16	𝒰(−2, 2)
Power-law slope of intrinsic alignment redshift evolution	η_IA	1.66	𝒰(0.0, 3.0)
Coefficients of cubic polynomial for clustering bias	b_gal,i=0...3	{1.33291, −0.72414, 1.01830, −0.14913}	𝒰(−3, 3)
Coefficients of cubic polynomial for magnification bias	b_mag,i=0...3	{−1.50685, 1.35034, 0.08321, 0.04279}	𝒰(−3, 3)
Per-bin shear multiplicative bias^(‡)	m_i=1...13	0.0	𝒩(0.0, 0.0005)
Per-bin mean redshift shift	Δz_i=1...13	{−0.025749, 0.022716, −0.026032, 0.012594, 0.019285, 0.008326, 0.038207, 0.002732, 0.034066, 0.049479, 0.066490, 0.000815, 0.049070}	$N [z_{i}^{fid}, 0.002 (1 + z_{i}^{fid})]$ $\[\mathcal{N}\left[z_{i}^{\text {fid}}, 0.002\left(1+z_{i}^{\text {fid }}\right)\right]\]$

	Spectroscopic sample

Per-bin linear bias	b_1,i=1...4	{1.412, 1.769, 2.039, 2.496}	𝒰(1.0, 3.0)
Per-bin second-order bias	b_2,i=1...4	{0.695, 0.870, 1.162, 2.010}	𝒰(−5.0, 5.0)
Poissonian shot noise for extra-stochastic parameters	α_P,i=1...4	{0.056, 0152, 0.144, 0.309}	𝒰(−1.0, 2.0)
Per-bin counter term for Legendre monopole	c_0,i=1...4	{11.603, 14.475, 15.667, 26.413}	Fixed
Per-bin counter term for Legendre quadrupole	c_2,i=1...4	{35.986, 44.914, 43.819, 62.353}	Fixed
Per-bin counter term for Legendre hexadecapole	c_4,i=1...4	{56.943, 55.443, 44.214, 42.89}	Fixed
Per-bin purity factor (assuming Poisson distributed interlopers)	f_i=1...4	{0.195, 0.204, 0.306, 0.121}	$N (f_{i}^{fid}, 0.01)$ $\[\mathcal{N}\left(f_{i}^{\text {fid}}, 0.01\right)\]$

Notes. These fiducial values are used to compute the self-generated synthetic data used in Sect. 8.2.3. For the photometric nuisance parameters, we use a polynomial fitting formula for both the galaxy b_gal and magnification b_mag biases, whose coefficients run from i = (0, 3), whereas we have a constant multiplicative bias m_i and shifts in the bin redshift means Δz_i per each of the 13 bins (fiducial values measured from EFS). For the spectroscopic nuisance parameters, we have one per each of the 4 redshift bins. The prior probability distributions are either uniform 𝒰 or Gaussian 𝒩.^(‡) We assume a constant nuisance parameter for the multiplicative bias in each photometric redshift bin i = 1 . . . 13, which corresponds to the $m_{0}^{bias}$ $\[m_{0}^{\text {bias}}\]$ parameter appearing in Eq. (17). The other components (i.e. $m_{4}^{bias}$ $\[m_{4}^{\text {bias}}\]$ ) are assumed to be negligible.

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