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Table 2.

Best-fitting effective halo model parameters for different combinations of power spectra from the BAHAMAS simulations.

Model Parameter Equation Fitted parameter 107.6 K 107.8 K 108.0 K
(1) Stars A* = A*, 0 + A*, 1z (27) A*, 0 0.0348 0.0330 0.0309
A*, 1 −0.0093 −0.0088 −0.0082
M* = M*, 0exp(M*, 1z) (27) log10(M*, 0/ h−1M) 12.4620 12.4479 12.3923
M*, 1 −0.3664 −0.3521 −0.3073
η (29) η −0.3428 −0.3556 −0.3505

(2) Matter ϵ1 = ϵ1, 0 + ϵ1, 1z (34) ϵ1, 0 0.2841 0.2038 0.0526
ϵ1, 1 −0.0046 −0.0047 0.0365
Γ (35) Γ 1.2363 1.3376 1.6237
M0 (25) log10(M0/h−1M) 13.0020 13.3658 14.0226

(3) Matter, electron pressure ϵ1 = ϵ1, 0 + ϵ1, 1z (34) ϵ1, 0 −0.1002 −0.1065 −0.1253
ϵ1, 1 −0.0456 −0.1073 −0.0111
Γ (35) Γ 1.1647 1.1770 1.1966
M0 (25) log10(M0/h−1M) 13.1949 13.5937 14.2480
α (39) α 0.7642 0.8471 1.0314
Tw = Tw, 0exp(Tw, 1z) Below (40) log10(Tw, 0/K) 6.6762 6.6545 6.6615
Tw, 1 −0.5566 −0.3652 −0.0617

(4) Matter, CDM, gas, stars A* = A*, 0 + A*, 1z (27) A*, 0 0.0346 0.0342 0.0321
A*, 1 −0.0092 −0.0105 −0.0094
M* = M*, 0exp(M*, 1z) (27) log10(M*, 0/h−1M) 12.5506 12.3715 12.3032
M*, 1 −0.4615 0.0149 −0.0817
η (29) η −0.4970 −0.4052 −0.3443
ϵ1 = ϵ1, 0 + ϵ1, 1z (34) ϵ1, 0 0.4021 0.1236 −0.1158
ϵ1, 1 0.0435 −0.0187 0.1408
Γ = Γ0 + zΓ1 (35) Γ0 1.2763 1.2956 1.2861
Γ1 −0.0554 −0.0937 −0.1382
M0 (25) log10(M0/h−1M) 13.0978 13.4854 14.1254

Notes. In each case, the halo model is fitted to the three different AGN heating temperatures separately (107.6, 107.8 and 108.0 K). We interpolate between parameters as a function of TAGN to get a model for intermediate temperatures and that we think is robust to modest extrapolation.

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