meeting 2025 10 16 gw - JacobPilawa/TriaxSchwarzschild_wiki_6 GitHub Wiki

Email Follow ups

  • Chung-Pei suggested a few more diagnostics over email, which I'm including here.

Delta M vs. Delta Z for MASSIVE

  • To start, we wanted to check out the Delta M and Delta z agreement comparing WISE and Zou to MASSIVE (and 2MRS redshfits). I wasn't able to find a table of pre-compiled redshifts for the MASSIVE galaxies, so I requeries Huchra's 2MRS data to obtain the redshifts (more specifically I obtained their "cz" column which I divde by 299792.458 to get the redshift. The results are thus:
    • Note that there's a chance that the 2 most discrepant WISE z's are simply incorrect objects. A few of galaxies in 2MRS were not immediately obvious, but for sake of getting the data, I just picked what looked to be the closest match.
MASSIVE vs. WISE MASSIVE vs. Zou
[images/251015/deltaM_deltaZ_WISE_MINUS_MASSIVE.png]]](/JacobPilawa/TriaxSchwarzschild_wiki_6/wiki/[[images/251015/deltaM_deltaZ_ZOU_MINUS_MASSIVE.png)
[images/251015/photoz_agreement_WISE_2MRS.png]]](/JacobPilawa/TriaxSchwarzschild_wiki_6/wiki/[[images/251015/photoz_agreement_ZOU_2MRS.png)

Correcting Offsets

  • We also wanted to try to de-trend any of the remaining difference between MASSIVE+Zou/MASSIVE+WISE, so I've tried to do that here. The idea is:
  1. Fit a line to the data.
  2. Subtract away the line from the data to obtain the residuals.
  3. Recenter the residuals about the one-to-one line by adding back the raw x-value.
    • Effectively this is computing residuals and shifting the point the residual amount away from the 1-to-1 line.
  • The net result is shown in these panels:
Correcting MASSIVE
images/251015/corrections.png
  • And here are some details about the fits/residuals:

======================================================================
PANEL 1: MASSIVE vs WISE2MBH
======================================================================
Fitted relationship: log(M_MASSIVE) = 9.4493 + 0.2071 * log(M_WISE2MBH)
R² = 0.0637
Pearson r = 0.2523
Slope std error = 0.0764

Residuals BEFORE correction:
  Mean = 0.6463
  Median = 0.6395
  Std = 0.1914
  RMS = 0.6740

Residuals AFTER correction:
  Mean = 0.0000
  Median = -0.0247
  Std = 0.1355
  RMS = 0.1355

======================================================================
PANEL 2: MASSIVE vs Zou+22
======================================================================
Fitted relationship: log(M_MASSIVE) = 10.1375 + 0.1443 * log(M_Zou+22)
R² = 0.1282
Pearson r = 0.3581
Slope std error = 0.0507

Residuals BEFORE correction:
  Mean = 0.5895
  Median = 0.5170
  Std = 0.3423
  RMS = 0.6817

Residuals AFTER correction:
  Mean = -0.0000
  Median = -0.0386
  Std = 0.1378
  RMS = 0.1378
======================================================================