The current design当前设计

Variable-W1 elliptical annuli变 W1 椭圆环带

The radial coordinate is an isophotal ellipse built from WISE \(W1\): \(q(a)\) and \(PA(a)\) vary with radius (45 nested boundaries, \(a=4'\)–\(180'\)); beyond \(a=40'\) the geometry is frozen at \(q=0.280\), \(PA=37.7^\circ\) east of north. The accepted extraction annuli are 9 non-overlapping 8' bins from \(a=16'\) to \(a=88'\) (\(a016\_024\) … \(a080\_088\)); \(a088\_096\) (\(a=92'\)) is excluded as unreliable (PI direction 2026-09-10), and \(a056\_064\) (\(a=60'\)) is included with an elevated-rstat caveat (PI direction 2026-09-11).

半径坐标是由 WISE \(W1\) 构建的等光度椭圆：\(q(a)\) 和 \(PA(a)\) 随半径变化（45 个嵌套边界，\(a=4'\)–\(180'\)）；\(a=40'\) 之后几何冻结于 \(q=0.280\)、\(PA=37.7^\circ\)（北偏东）。接受的提取环带是 9 个不重叠的 8' 箱，从 \(a=16'\) 到 \(a=88'\)（\(a016\_024\) … \(a080\_088\)）；\(a088\_096\)（\(a=92'\)）作为不可靠被排除（PI 指示 2026-09-10），\(a056\_064\)（\(a=60'\)）带升高的 rstat 说明被纳入（PI 指示 2026-09-11）。

Source: analysis/virgo_time_ranked_ten_region_execution_20260828/regions/; claims.yaml `theo-exp-region-design-overlay`; E041.来源：analysis/virgo_time_ranked_ten_region_execution_20260828/regions/; claims.yaml `theo-exp-region-design-overlay`; E041.

Animation: the M31 ellipse with annuli and four quadrant sectors动画：带环带和四个象限扇区的 M31 椭圆

MOS-only spectra仅 MOS 谱

Spectra are MOS1/MOS2 only (no pn), extracted with ESAS/SAS on Virgo from the run6 campaign: 33 ObsIDs, 490 complete MOS task bundles (3,920 FITS) across 252 ObsID-region combinations. Each bundle supplies source, background (QPB-subtracted particle background), RMF and ARF. Point-source exclusion uses edetect \(DET\_ML>6\) point-like rows (user decision 2026-07-19). The MOS 1.4–2.0 keV interval (Al K\(\alpha\) + Si K\(\alpha\) + SP) is included in the current campaign (user decision 2026-07-19).

谱仅为 MOS1/MOS2（无 pn），由 Virgo 上的 ESAS/SAS 从 run6 运动提取：33 个 ObsID，490 个完整 MOS 任务包（3,920 个 FITS），横跨 252 个 ObsID-区域组合。每个包提供源谱、背景（QPB 减去的粒子背景）、RMF 和 ARF。点源排除使用 edetect \(DET\_ML>6\) 点状行（用户决定 2026-07-19）。MOS 1.4–2.0 keV 区间（Al K\(\alpha\) + Si K\(\alpha\) + 软质子）包含在当前运动中（用户决定 2026-07-19）。

XSherpa fit template and stagesXSherpa 拟合模板与阶段

The no-background SrcApec fit contract (validated): LB kT=0.1 keV fixed; MWhalo kT free 0.10–0.35 keV, Z=0.3; SrcApec kT free 0.5–1.0 keV (must exceed MWhalo.kT), Z=1; CXB photon index \(\Gamma=1.4\) fixed; fit band 0.4–7.2 keV; abundances angr throughout.

无背景 SrcApec 拟合契约（已验证）：LB kT=0.1 keV 固定；MWhalo kT 自由 0.10–0.35 keV，Z=0.3；SrcApec kT 自由 0.5–1.0 keV（必须超过 MWhalo.kT），Z=1；CXB 光子指数 \(\Gamma=1.4\) 固定；拟合带 0.4–7.2 keV；丰度表全程 angr。

Stages: (1) source/QPB/RMF/ARF extraction QA; (2) XSherpa inspect + spectrum overlay; (3) joint MOS1+MOS2 fit with shared sky and nuisance parameters; (4) conditional \(\Delta\chi^2=1\) errors with the foreground frozen; (5) profile-likelihood errors with the foreground free (required after R008). Vertical errors are conditional \(\Delta\chi^2=1\) with saved nuisance parameters fixed — not profile-likelihood intervals.

阶段：（1）源/QPB/RMF/ARF 提取 QA；（2）XSherpa inspect + 谱叠加；（3）共享 sky 与 nuisance 参数的 MOS1+MOS2 联合拟合；（4）前景冻结时的条件性 \(\Delta\chi^2=1\) 误差；（5）前景自由后的 profile-likelihood 误差（R008 后需要）。垂直误差是条件性 \(\Delta\chi^2=1\)，nuisance 参数固定于已保存值——不是 profile-likelihood 区间。

Foreground model前景模型

Three foreground terms per spectrum: Local Bubble (kT=0.1 keV), Milky Way halo (kT=0.25 keV, Z=0.3), and MWhotHalo (kT=0.7 keV). The disk fits freeze foreground absorption at nH=0.03e22 cm\(^{-2}\), but Lit L02/R016 found the MW-only column toward M31 is \(\approx 0.054\)–\(0.067\times10^{22}\) cm\(^{-2}\), about twice the frozen value (08 revision 14). V1's nH bracket 0.048 / 0.0585 / 0.076 stands.

A second, more consequential freeze: the disk template sets MWhotHalo to zero. So any Galactic 0.7 keV emission is not fitted — it lands inside the SrcApec term. That is exactly why the disk soft floor \(s_0 = 3.11\times10^{-16}\) equals the halo-field 0.7 keV term (median \(2.93\times10^{-16}\)) to within 6% (R024), and why the three numbers of I021 (halo-field level, Milky Way star prediction, disk floor) can all be the same foreground.

每谱三个前景项：局部泡（kT=0.1 keV）、银河晕（kT=0.25 keV，Z=0.3）和 MWhotHalo（kT=0.7 keV）。圆盘拟合将前景吸收冻结于 nH=0.03e22 cm\(^{-2}\)，但 Lit L02/R016 发现指向 M31 的仅 MW 柱密度为 \(\approx 0.054\)–\(0.067\times10^{22}\) cm\(^{-2}\)，约为冻结值两倍（08 修订版 14）。V1 的 nH 括号 0.048 / 0.0585 / 0.076 保持。

还有第二个更要紧的冻结：圆盘模板把 MWhotHalo 设为零。因此任何银河系 0.7 keV 辐射都没有被拟合——它落进了 SrcApec 项内。这正是为什么圆盘软底板 \(s_0 = 3.11\times10^{-16}\) 与晕场 0.7 keV 项（中位数 \(2.93\times10^{-16}\)）在 6% 以内相等（R024），也正是为什么 I021 的三个数字（晕场水平、银河系恒星预测、圆盘底板）可以是同一个前景。

Template decomposition模板分解

The spatial model decomposes the 0.7 keV surface brightness into old stellar (\(A_\mathrm{old}\cdot W1\)), young (\(A_\mathrm{young}\cdot W4\)dust), and a constant \(C\). E034 completed old_only (\(\chi^2=11771.817\), dof 7550) and young_only (12541.776); mixed never completed (killed 2026-09-17). E038's identifiability forecast: old+C and old+FUV+C are identifiable (\(\sigma\)(A_young,FUV) 3.3% of A_old as a lower bound); W4dust+mixed is not identifiable (corr(A_young,C)=−1.00) because both WISE templates carry the sky pedestal (B026: W1 off-disk 6.87 DN = 53–97% of the template; W4dust \(\approx\)99% pedestal). V6 rebuilds with net (sky-subtracted) templates.

空间模型将 0.7 keV 表面亮度分解为旧恒星（\(A_\mathrm{old}\cdot W1\)）、年轻（\(A_\mathrm{young}\cdot W4\)dust）和常数 \(C\)。E034 完成了 old_only（\(\chi^2=11771.817\)，dof 7550）和 young_only（12541.776）；mixed 未完成（2026-09-17 被终止）。E038 的可辨识性预测：old+C 和 old+FUV+C 可辨识（\(\sigma\)(A_young,FUV) 为 A_old 的 3.3%，下界）；W4dust+mixed 不可辨识（corr(A_young,C)=−1.00），因为两个 WISE 模板都带有天空底座（B026：W1 场外 6.87 DN = 模板的 53–97%；W4dust \(\approx\)99% 底座）。V6 用净（减天空）模板重建。

Annulus \(\times\) quadrant sectors环带 \(\times\) 象限扇区

E041 (V8, PI D21) extracts 5 annuli (\(a032\_048\) … \(a096\_112\)) \(\times\) 4 symmetric 90° quadrants about the M31 centre (PA 37.7°, q=0.28): NE [−7.3°, 82.7°), SE [82.7°, 172.7°), SW [172.7°, 262.7°), NW [262.7°, 352.7°). Expected area shares: NE+SW = 41.3% each, SE+NW = 8.7% each; the four must sum to the annulus within 0.5%. This replaces the earlier sector fits (R011: they were ObsID subsets of full-annulus spectra, 23–72% of area in the other quadrants).

E041（V8，PI D21）提取 5 个环带（\(a032\_048\) … \(a096\_112\)）\(\times\) 4 个围绕 M31 中心的对称 90° 象限（PA 37.7°，q=0.28）：NE [−7.3°, 82.7°)，SE [82.7°, 172.7°)，SW [172.7°, 262.7°)，NW [262.7°, 352.7°)。预期面积份额：NE+SW 各 41.3%，SE+NW 各 8.7%；四者之和与环带相差在 0.5% 以内。这取代了早先的扇区拟合（R011：它们是完整环带谱的 ObsID 子集，23–72% 面积在其他象限）。

Dual-path extraction (D23/D24)双路径提取（D23/D24）

Every early extraction is made twice (PI D23, 2026-11-01): the native ESAS mos-spectra/ mos_back products (the delivered science product, built with our campaign engine) and DXC's fast_regions candidate on the same ObsID \(\times\) camera \(\times\) DET region. Each pair is compared channel by channel with DXC's read-only dualpath comparator (object/QPB spectra, EXPOSURE, BACKSCAL, CCD support, ARF, RMF; verdicts PASS/FAIL/HOLD/ NOT_COMPARABLE/NOT_RUN, failures never dropped). Receipts go to DXC's cumulative table (DXC D099). fast_regions is developed only in esas_data_reduction, never patched here. V8b (the full sector extraction) starts only after the pilot pair has been compared and reported.

每次早期提取都做两遍（PI D23，2026-11-01）：原生 ESAS mos-spectra/mos_back 产品（交付的科学产品，由我们的运动引擎构建）和 DXC 的 fast_regions 候选对象，作用于相同的 ObsID \(\times\) 相机 \(\times\) DET 区域。 每对用 DXC 的只读 dualpath 比较器逐道比较（对象/QPB 谱、EXPOSURE、BACKSCAL、CCD 支持、ARF、RMF； 裁定 PASS/FAIL/HOLD/NOT_COMPARABLE/NOT_RUN，失败绝不丢弃）。收据转交 DXC 的累积表（DXC D099）。fast_regions 仅在 esas_data_reduction 中开发，从不在此补丁。V8b（完整扇区提取）只有在试点对子被比较并报告后才开始。

D24 (2026-11-02) amends D23: the native side of every dual-path pair, and every new extraction of this project, uses the current production release esas_data_reduction v1.7.11 (production since DXC D089, 2026-10-29; engine SHA-256 7899484c…; SAS 20, SAS_RAND_SEED 314159 by default), run end to end from the ODF (calibration, filter, source detection, background/spectra). The Fornax v1.6.1 fork and the run6 checkpoints it made are no longer the native reference; run6 products stay valid for the fits already made and serve as a cross-version control. fast_regions candidate v1.7.12-rc4 is the fast side (built on the v1.7.11 line).

D24（2026-11-02）修订 D23：每对双路径的原生方，以及本项目的每次新提取，都使用当前生产版本 esas_data_reduction v1.7.11（自 DXC D089，2026-10-29 起生产；引擎 SHA-256 7899484c…；SAS 20，默认 SAS_RAND_SEED 314159），从 ODF 到端运行（校准、滤波、源检测、背景/谱）。Fornax v1.6.1 分支及其制作的 run6 检查点不再是原生参考；run6 产品对已完成的拟合保持有效，并作为交叉版本控制。fast_regions 候选 v1.7.12-rc4 是快方（构建于 v1.7.11 线上）。

The pre-registered decision rule预注册决策规则

V7/E040 (DONE, R115): the outer annuli (\(a064\_072\), \(a072\_080\), \(a080\_088\)) were fit under two foreground variants — anchored (MWhotHalo at the v19 level) and released-MWhotHalo — and came back undecided (E040 rule v2): the intercept from SrcApec alone is \(-1.32\sigma\) for HF1 and 0 for HF2/HF3, so a SrcApec boundary at zero with an adequate fit is not evidence that the foreground exceeds the total. The outcome classes are:

V7/E040（已完成，R115）：外环带（\(a064\_072\)、\(a072\_080\)、\(a080\_088\)）在两个前景变体下拟合—— 锚定（MWhotHalo 在 v19 水平）和释放 MWhotHalo——裁定为未决（E040 规则 v2）：仅用 SrcApec 的截距在 HF1 为 \(-1.32\sigma\)、在 HF2/HF3 为 0，因此“SrcApec 在零处触边且拟合充分”并不构成前景超过总量的证据。结果 类别是：