On the baryon budget in the X-ray-emitting circumgalactic medium of Milky Way-mass galaxies

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Volume 706 (February 2026)

A&A, 706 (2026) A102

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Table B.1.

Properties of X-ray-emitting gas under different assumptions.

		log(M_*/M_⊙)	log(M_*/M_⊙)	log(M_*/M_⊙)
		10.5 − 11.0 (MW)	11.0 − 11.25 (M31)	11.25 − 11.5 (2M31)
Fiducial	T [keV]	0.12	0.18	0.36
(beta model)	β	0.4	$0 . 37_{- 0.03}^{+ 0.02}$ $0.37^{+0.02}_{-0.03}$	0.37 ± 0.01
(T = T_500c)	r_c [kpc]	5	$6_{- 4}^{+ 6}$ $6^{+6}_{-4}$	$10_{- 3}^{+ 4}$ $10^{+4}_{-3}$
(0.3 Z_⊙)	M_vir [M_⊙]	1.3 × 10¹²	4.2 × 10¹²	1.2 × 10¹³
	M_500c [M_⊙]	8.7 × 10¹¹	2.7 × 10¹²	7.6 × 10¹²
	R_vir [kpc]	285	396	551
	f_{X − ray − emitting, < R_vir}	0.097 ± 0.007	0.057 ± 0.004	0.054 ± 0.002

Modified Vikhlinin	β	0.4	$0 . 36_{- 0.14}^{+ 0.04}$ $0.36^{+0.04}_{-0.14}$	$0 . 35_{- 0.10}^{+ 0.02}$ $0.35^{+0.02}_{-0.10}$
(Eq. 5)	r_c [kpc]	5	$7_{- 3}^{+ 6}$ $7^{+6}_{-3}$	$9_{- 3}^{+ 4}$ $9^{+4}_{-3}$
	ϵ	4	-	2.5_−2.0
	r_s [kpc]	200	∞	930₋₉₀₀
	f_{X − ray − emitting, < R_vir}	0.078 ± 0.005	0.059 ± 0.005	0.056 ± 0.002

$T \propto M_{500 c}^{0.57}$ $T \propto M_{\mathrm{500c}}^{0.57}$	T [keV]	0.15	0.29	0.53
	f_{X − ray − emitting, < R_vir}	0.068 ± 0.004	0.044 ± 0.003	0.046 ± 0.001

$T \propto M_{500 c}^{0.66}$ $T \propto M_{\mathrm{500c}}^{0.66}$	T [keV]	0.09	0.19	0.38
	f_{X − ray − emitting, < R_vir}	0.19 ± 0.01	0.054 ± 0.004	0.053 ± 0.001

Lognormal T	T_mean [keV]	0.125	0.19	0.37
	f_{X − ray − emitting, < R_vir}	0.086 ± 0.006	0.057 ± 0.004	0.053 ± 0.001

ExpCGM	α₀	0.6 ± 0.2	0.8 ± 0.1	0.81 ± 0.04
	α₁	1.1 ± 0.3	$0 . 9_{- 0.1}^{+ 0.2}$ $0.9^{+0.2}_{-0.1}$	0.9 ± 0.1
	f_{X − ray − emitting, < R_vir}	0.11 ± 0.01	0.058 ± 0.004	0.054 ± 0.001

log(M_vir)+0.1 dex	T [keV]	Fiducial	Fiducial	Fiducial
	f_{X − ray − emitting, < R_vir}	0.083 ± 0.005	0.047 ± 0.003	0.046 ± 0.001
	$T \propto M_{500 c}^{0.62}$ $T \propto M_{\mathrm{500c}}^{0.62}$	0.13	0.27	0.51
	f_{X − ray − emitting, < R_vir}	0.069 ± 0.005	0.042 ± 0.003	0.043 ± 0.001

log(M_vir)−0.1 dex	T [keV]	Fiducial	Fiducial	Fiducial
	f_{X − ray − emitting, < R_vir}	0.100 ± 0.006	0.072 ± 0.005	0.063 ± 0.002
	$T \propto M_{500 c}^{0.62}$ $T \propto M_{\mathrm{500c}}^{0.62}$	0.10	0.2	0.38
	f_{X − ray − emitting, < R_vir}	0.16 ± 0.01	0.057 ± 0.004	0.057 ± 0.002

log(M_vir)+0.2 dex	T [keV]	Fiducial	Fiducial	Fiducial
	f_{X − ray − emitting, < R_vir}	0.074 ± 0.005	0.040 ± 0.003	0.040 ± 0.001
	$T \propto M_{500 c}^{0.62}$ $T \propto M_{\mathrm{500c}}^{0.62}$	0.15	0.31	0.58
	f_{X − ray − emitting, < R_vir}	0.051 ± 0.003	0.037 ± 0.003	0.038 ± 0.001

log(M_vir)−0.2 dex	T [keV]	Fiducial	Fiducial	Fiducial
	f_{X − ray − emitting, < R_vir}	0.109 ± 0.007	0.097 ± 0.006	0.073 ± 0.002
	$T \propto M_{500 c}^{0.62}$ $T \propto M_{\mathrm{500c}}^{0.62}$	0.09	0.18	0.33
	f_{X − ray − emitting, < R_vir}	0.255 ± 0.017	0.069 ± 0.004	0.066 ± 0.002

Z(R)	f_{X − ray − emitting, < R_vir}	0.088 ± 0.006	0.059 ± 0.004	0.056 ± 0.002
0.1 Z_⊙	f_{X − ray − emitting, < R_vir}	0.16 ± 0.01	0.093 ± 0.006	0.080 ± 0.002
Z_⊙	f_{X − ray − emitting, < R_vir}	0.054 ± 0.004	0.032 ± 0.002	0.032 ± 0.001

Notes. We list the values of temperature, gas density profile, and f_{X − ray − emitting, < R_vir} under the different assumptions described in the main text and Appendix. B, for three stellar mass bins.

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