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

Paramater settings
==================

Bacco emulator
~~~~~~~~~~~~~~

**Non-linear power spectrum**

+---------------------------------------+---------------+
| parameter                             | range         |
+===========================+===========+=======+=======+
| :math:`\Omega_{\rm m}`    | Omega_m   | 0.23  | 0.4   |
+---------------------------+-----------+-------+-------+
| :math:`h^2\Omega_{\rm b}` | Ombh2     | 0.04  | 0.06  |
+---------------------------+-----------+-------+-------+
| :math:`\sigma_8`          | sigma8_cb | 0.73  | 0.9   |
+---------------------------+-----------+-------+-------+
| :math:`h`                 | h         | 0.6   | 0.8   |
+---------------------------+-----------+-------+-------+
| :math:`n_{\rm s}`         | ns        | 0.92  | 1.01  |
+---------------------------+-----------+-------+-------+
| :math:`w_0`               | w0        | -1.15 | -0.85 | 
+---------------------------+-----------+-------+-------+
| :math:`w_{\rm a}`         | wa        | -0.3  | 0.3   |
+---------------------------+-----------+-------+-------+
| :math:`M_\nu`             | Mnu       | 0     | 0.4   |
+---------------------------+-----------+-------+-------+

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

:math:`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         |
+==========================================+==============+=======+=======+
|  :math:`\text{log}_{10}M_{\rm c}`        | log10Mc_bc   | 9     | 15    |
+------------------------------------------+--------------+-------+-------+
|  :math:`\text{log}_{10}\eta`             | eta_bc       | -0.69 | 0.69  |
+------------------------------------------+--------------+-------+-------+
|  :math:`\text{log}_{10}\beta`            | beta_bc      | -1    | 0.69  |
+------------------------------------------+--------------+-------+-------+
|  :math:`\text{log}_{10}M_{z_0,\rm cen}`  | log10Mz0_bc  | 9     | 13    |
+------------------------------------------+--------------+-------+-------+
|  :math:`\text{log}_{10}\theta_{\rm out}` | thetaout_bc  | 0     | 0.47  |
+------------------------------------------+--------------+-------+-------+
|  :math:`\text{log}_{10}\theta_{\rm inn}` | thetainn_bc  | -2    | -0.52 | 
+------------------------------------------+--------------+-------+-------+
|  :math:`\text{log}_{10}M_{\rm inn}`      | log10Minn_bc | 9     | 13.5  |
+------------------------------------------+--------------+-------+-------+


**HEFT**

+------------------------------------+
| parameter                          |
+=========================+==========+
|  :math:`b_{1,i}`        | b1L_i    |
+-------------------------+----------+
|  :math:`b_{2,i}`        | b2L_1i   |
+-------------------------+----------+
|  :math:`b_{s^2,i}`      | bs2L_i   |
+-------------------------+----------+
|  :math:`b_{\nabla^2,i}` | blaplL_1 |
+-------------------------+----------+



HMCode
~~~~~~

**Non-linear power spectrum**

+----------------------------------------------------+---------------+
| parameter                                          | range         |
+=======================================+============+========+======+
|  :math:`\Omega_{\rm m}`               | Omega_m    | 0.1    | 0.8  |
+---------------------------------------+------------+--------+------+
|  :math:`h^2\Omega_{\rm b}`            | Ombh2      | 0.0016 | 0.1  |
+---------------------------------------+------------+--------+------+
|  :math:`\text{log}(10^{10}A_{\rm s})` | log10As    | 1.7    | 4    |
+---------------------------------------+------------+--------+------+
|  :math:`h`                            | h          | 0.4    | 1    |
+---------------------------------------+------------+--------+------+
|  :math:`n_{\rm s}`                    | ns         | 0.6    | 1.2  |
+---------------------------------------+------------+--------+------+
|  :math:`w_0`                          | w0         | -3     | -0.3 | 
+---------------------------------------+------------+--------+------+
|  :math:`w_{\rm a}`                    | wa         | -3     | 3    |
+---------------------------------------+------------+--------+------+
|  :math:`M_\nu`                        | Mnu        | 0      | 0.5  |
+---------------------------------------+------------+--------+------+
|  :math:`\text{log}_{10}(T_{\rm AGN})` | log10T_AGN | 7.6    | 8.3  |
+---------------------------------------+------------+--------+------+

:math:`z\in[0,4.0]`,

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

:math:`k_{\rm NL} \in [0.01, 50] \, h\rm Mpc^{-1}`.