仪器与数据

Instrument and data

eROSITA eRASS:4 stacking，使用rest-frame、absorption-corrected 0.5-2.0 keV luminosity surface-density profiles，并对redshift-dependent PSF和detected sources进行处理。

eROSITA eRASS:4 stacking of rest-frame, absorption-corrected 0.5-2.0 keV luminosity-surface-density profiles, including redshift-dependent PSF treatment and detected-source masking.

观测视线与样本域

Sightlines and sample domain

不是一条MW内部LOS，而是约26099个11.0<log(M*/Msun)<11.25 central galaxies的外部observer projected stacks；median z约0.12、median M*约1.3e11 Msun、median log M200m约12.7。M31-mass只按stellar mass命名，不保证morphology、SFR或halo mass完全等同M31。

This is not an internal-Milky-Way LOS but an external-observer projected stack of about 26,099 central galaxies with 11.0<log(M*/Msun)<11.25, median z about 0.12, median M* about 1.3e11 Msun, and median log M200m about 12.7. The label M31-mass is based on stellar mass alone and does not guarantee matched morphology, SFR, or halo mass.

原文测量量

Native measurement

native profile是erg s-1 kpc-2的intrinsic/rest-frame 0.5-2.0 keV luminosity surface density；hot-CGM residual来自多component statistical decomposition。

The native profile is intrinsic/rest-frame 0.5-2.0 keV luminosity surface density in erg s-1 kpc-2; the hot-CGM residual comes from a multi-component statistical decomposition.

原文模型

Published model

hot-CGM radial profile用projected beta law S_X(R)=S_X0[1+(R/r_c)^2]^(-3 beta+1/2)。M31-mass median参数为log S_X0=37.1、r_c=4 kpc、beta=0.37；Figure 3采用一个nominal median profile，不把S_X0、r_c、beta的独立marginal ranges伪装成M31 prior。

The hot-CGM radial profile uses the projected beta law S_X(R)=S_X0[1+(R/r_c)^2]^(-3 beta+1/2). The M31-mass median parameters are log S_X0=37.1, r_c=4 kpc, and beta=0.37. Figure 3 uses one nominal median profile and does not turn independent marginal ranges of S_X0, r_c, and beta into an M31 prior.

原文结果

Published results

M31-mass bin的hot-CGM residual在Rvir内约3.9 sigma；paper给出shallow beta约0.37并说明population profile。Figure 3选取20 kpc characteristic value。

The M31-mass bin hot-CGM residual is detected at about 3.9 sigma within Rvir. The paper reports a shallow beta near 0.37 and a population profile; Figure 3 samples a characteristic value at 20 kpc.

如何进入M31 Figure 3

Transfer into M31 Figure 3

先在20 kpc读取/计算nominal luminosity surface density 1.725299e36 erg s-1 kpc-2；对resolved surface brightness，distance因angular area与flux的D^-2相消。再用v19 thermal template将intrinsic luminosity-density convention转为M31视线的absorbed angular surface brightness，得到Figure 3的0.828454。

The nominal luminosity surface density at 20 kpc is first evaluated as 1.725299e36 erg s-1 kpc-2. For resolved surface brightness, distance cancels between angular area and flux D^-2. A v19 thermal template then converts the intrinsic luminosity-density convention to absorbed angular surface brightness along the M31 sightline, giving Figure 3 value 0.828454.

假设与解释边界

Assumptions and boundaries

population stack不是M31 measurement；mass label只匹配stellar-mass bin。转换使用单一v19 APEC spectrum而不是stack的完整multiphase distribution；beta参数covariance不可用。

The population stack is not an M31 measurement, and the mass label only matches a stellar-mass bin. The transfer uses one v19 APEC spectrum rather than a full multiphase distribution, and beta-parameter covariance is unavailable.

本论文对应的Figure 3数据点

Figure 3 points from this study

Primary-source证据地图

Primary-source evidence map

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