Fig. 1.

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Top left: Photometric (black curves and thin faint curves, corresponding to different realizations of the redshift distribution; described in Sect. 3.1.1) and spectroscopic (coloured curves) tomographic redshift distributions utilized in this work (described in Sect. 3) for a stage III survey. Top right: Galaxy bias function (blue curve; Eq. (2.18)) used to define the true galaxy bias, bg, for each tomographic redshift sample. Bottom left: Magnification bias functions, Fm(z) (Eq. (2.6)), used to calculate lensing contributions to galaxy number count kernels (Sect. 2.1), shown on a log-linear axis with transitions at ±1. The faint-end slope of the luminosity function is estimated via the fitting formulae of Joachimi & Bridle (2010), taking the r-band limiting magnitude rlim = 24.5 for the photometric (blue curve) and rlim = 20.0 for the spectroscopic (dashed orange curve) synthetic galaxy samples. Bottom right: Intrinsic alignment power spectrum prefactor function FIA(z) (blue curve; Eq. (2.16)) used to approximate matter-intrinsic and intrinsic-intrinsic power spectra for the computation of intrinsic alignment contributions to the shear and GGL correlations. The galaxy bias bg(z) and magnification bias Fm(z) functions are evaluated for each tomographic sample i at the mean redshift ⟨z⟩i of the sample, denoted by black (photometric) or coloured (spectroscopic) points atop each curve. The intrinsic alignment prefactor FIA(z) also displays these points but is evaluated at the mean of the relevant kernel product ni(χ)nj(χ), or ni(χ)qj(χ), for a correlation between samples i and j.
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