Here we listed the parameters used by the emulators and their respective ranges.

Paramater settings

Bacco emulator

Non-linear power spectrum

parameter

range

\(\Omega_{\rm m}\)

Omega_m

0.23

0.4

\(h^2\Omega_{\rm b}\)

Ombh2

0.04

0.06

\(\sigma_8\)

sigma8_cb

0.73

0.9

\(h\)

h

0.6

0.8

\(n_{\rm s}\)

ns

0.92

1.01

\(w_0\)

w0

-1.15

-0.85

\(w_{\rm a}\)

wa

-0.3

0.3

\(M_\nu\)

Mnu

0

0.4

\(k\in[10^{-2},5] \, h\rm Mpc^{-1}\). At higher scales (\(k<0.01 \, h \rm Mpc^{-1}\)) the non-linear power spectrum is extrapolated from the linear power spectrum, while at smaller scales (\(k>5 \, h \rm Mpc^{-1}\)) a power law extrapolation is used to get the non-linear power spectrum.

\(z\in[0,1.5]\). At higher redshift the non-linear power spectrum can extrapolated from the linear power spectrum or using HMCode.

Baryonic boost

parameter

range

\(\text{log}_{10}M_{\rm c}\)

log10Mc_bc

9

15

\(\text{log}_{10}\eta\)

eta_bc

-0.69

0.69

\(\text{log}_{10}\beta\)

beta_bc

-1

0.69

\(\text{log}_{10}M_{z_0,\rm cen}\)

log10Mz0_bc

9

13

\(\text{log}_{10}\theta_{\rm out}\)

thetaout_bc

0

0.47

\(\text{log}_{10}\theta_{\rm inn}\)

thetainn_bc

-2

-0.52

\(\text{log}_{10}M_{\rm inn}\)

log10Minn_bc

9

13.5

HEFT

parameter

\(b_{1,i}\)

b1L_i

\(b_{2,i}\)

b2L_1i

\(b_{s^2,i}\)

bs2L_i

\(b_{\nabla^2,i}\)

blaplL_1

HMCode

Non-linear power spectrum

parameter

range

\(\Omega_{\rm m}\)

Omega_m

0.1

0.8

\(h^2\Omega_{\rm b}\)

Ombh2

0.0016

0.1

\(\text{log}(10^{10}A_{\rm s})\)

log10As

1.7

4

\(h\)

h

0.4

1

\(n_{\rm s}\)

ns

0.6

1.2

\(w_0\)

w0

-3

-0.3

\(w_{\rm a}\)

wa

-3

3

\(M_\nu\)

Mnu

0

0.5

\(\text{log}_{10}(T_{\rm AGN})\)

log10T_AGN

7.6

8.3

\(z\in[0,4.0]\),

\(k_{\rm lin} \in [3.7 \times 10^{-4}, 50] \, h\rm Mpc^{-1}\),

\(k_{\rm NL} \in [0.01, 50] \, h\rm Mpc^{-1}\).