Comparison at the fiducial parameters

'Omega_m': 0.3156
'omega_b': 0.02225
'omega_cdm': 0.1198
'Mnu': 0.06
'Omega_k': 0.0
'Omega_de': 0.68434
'sigma8': 0.831
'ns': 0.9645
'w0': -1
'wa': 0
'h0': 0.6723473803969963
'ln(10^10As)': 3.094
'As': 2.201865180098782e-09
'Omega_nu': 0.001425041731402498
'dist': 0

Comparison with DarkEmulator2

Total-matter nonlinear \(P(k)\)

• Since Aletheia does not support massive neutrinos, the neutrino contribution is absorbed into \(\omega_\mathrm{cdm}\).

DE2 narrow k-range; \(k = 10^{-2} - 10^2 \,\,\,[h\, \mathrm{Mpc}^{-1}]\)

DE2 full k-range; \(k = 10^{-3} - 10^2 \,\,\,[h\, \mathrm{Mpc}^{-1}]\)

HMcode and Halofit checks

• Halofit (Bird 2012) comparison with DE2 and EE2 (as reported in the EE2 paper)

• HMcode (Mead 2016) comparison with DE2 and EE2 (as reported in the EE2 paper)

• HMcode (Mead 2020) comparison with DE2

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