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arxiv: 2606.04368 · v1 · pith:KFCWKYNQnew · submitted 2026-06-03 · 🌌 astro-ph.SR · astro-ph.GA

A Planetary Nebula from a 5.7 M_(odot) Progenitor in a 90 Myr M31 Star Cluster

Pith reviewed 2026-06-28 04:49 UTC · model grok-4.3

classification 🌌 astro-ph.SR astro-ph.GA
keywords planetary nebulaprogenitor massM31star clusterAGB starshot bottom burningisochrone fittingnitrogen enhancement
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The pith

A planetary nebula in M31 is tied to a 5.7 solar mass progenitor in a 90 Myr cluster.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper identifies a planetary nebula physically linked to a star cluster in the Andromeda galaxy through spatial position and matching radial velocities. Isochrone fitting to the cluster color-magnitude diagram gives an age of about 90 million years and near-solar metallicity. This age corresponds to an initial stellar mass of 5.66 with uncertainties of +0.42 and -0.37 solar masses for the nebula's progenitor. The measured nitrogen-to-oxygen ratio is about seven times the solar value, matching expectations from hot bottom burning in a high-mass AGB star. The result supplies one of the highest direct empirical masses for any planetary nebula progenitor.

Core claim

The PN and cluster are associated, so isochrone fitting to the cluster CMD yields a progenitor initial mass of 5.66^{+0.42}_{-0.37} M_⊙ at near-solar metallicity; the nebula is nitrogen-enhanced with N/O ~7 times solar, consistent with hot bottom burning.

What carries the argument

Isochrone fitting to the cluster color-magnitude diagram, supported by spatial proximity and radial-velocity match from spectral decomposition.

If this is right

  • Planetary nebulae can form from stars with initial masses at least as high as 5.7 solar masses.
  • Nucleosynthesis models must produce strong nitrogen enrichment at this progenitor mass through hot bottom burning.
  • The lower edge of the super-AGB regime for planetary nebula production receives a direct empirical anchor.
  • The initial-to-final mass relation for intermediate-mass stars gains a new high-mass calibration point.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Searches for similar cluster-PN pairs in other galaxies could quickly enlarge the sample of high-mass progenitors.
  • The system offers a laboratory to track how the nebula's chemistry and the cluster's stellar population evolve together.
  • If the mass holds, current upper limits on planetary nebula progenitor masses in some population synthesis codes may need revision upward.

Load-bearing premise

The nebula and cluster are physically associated rather than aligned by chance.

What would settle it

A radial-velocity or distance measurement that places the nebula clearly outside the cluster would break the association and remove the mass constraint.

Figures

Figures reproduced from arXiv: 2606.04368 by Bingqiu Chen, Haibo Yuan, Pinjian Chen, Shu Wang, Xiaodian Chen.

Figure 1
Figure 1. Figure 1: Color composite image of the young open cluster AP 210, constructed from archival HST/ACS observations in F475W (blue), F625W+F658N (green), and F814W (red). The PN appears as a bright blue-green point source near the cluster center because of its strong [O III], Hα, and [N II] emission. The white circle indicates the 1. ′′5 on-sky diameter of a single Hectospec fiber. differences in the spatial distributi… view at source ↗
Figure 2
Figure 2. Figure 2: Top panel: observed spectrum (black), best-fit stellar spectrum (red), and best-fit nebular-emission model (blue) from the pPXF fit. The fit residuals are shown in gray, and masked regions are indicated by gray shading. Bottom panel: residual nebular spectrum obtained by subtracting the best-fit stellar spectrum from the observed spectrum. Key nebular emission lines used in the subsequent analysis are labe… view at source ↗
Figure 3
Figure 3. Figure 3: Color–magnitude diagram of AP 210. Stars within the cluster aperture are color-coded by their empiri￾cal retention fraction (Pmem), with stars of Pmem = 0 shown in light gray. Black open circles mark stars with Pmem > 0.1 retained for the isochrone fitting, while red crosses indicate outliers excluded by visual inspection. The red curve shows the best-fitting MIST isochrone, with log(Age/yr) = 7.95, E(B − … view at source ↗
Figure 4
Figure 4. Figure 4: Location of AP 210 overlaid on a high-reso￾lution extinction map of M31 (M.X. Sun et al. 2026, in preparation). North is up and east is to the left. The clus￾ter position is marked by a circle at the center of the panel, with its color corresponding to the measured extinction of E(B − V ) = 0.57 mag. and find them to be consistent within the uncertainties. Together, these positional and kinematic lines of … view at source ↗
read the original abstract

Planetary nebulae (PNe) trace the late evolution of low-to-intermediate-mass stars, yet the masses of their progenitors are rarely measured directly. Here we present a PN physically associated with a young star cluster in M31, providing an unprecedented extragalactic empirical anchor in the poorly constrained high-mass regime of PN progenitors. High-resolution Hubble Space Telescope imaging shows that the nebula lies near the cluster center, and spectral decomposition of the blended cluster-plus-nebula spectrum yields consistent stellar and nebular radial velocities, strongly supporting a physical association. Isochrone fitting to the color-magnitude diagram indicates a cluster age of ~90 Myr and a near-solar metallicity, implying a progenitor initial mass of $5.66^{+0.42}_{-0.37}\,M_{\odot}$. This value is among the highest empirical progenitor-mass constraints yet reported for any PN and approaches the lower boundary of the super-asymptotic giant branch (super-AGB) regime. We further find that the nebula is strongly nitrogen-enhanced, with an N/O ratio ~7 times the solar value, broadly consistent with hot bottom burning in a relatively massive AGB progenitor. This system therefore provides a rare opportunity to test PN formation and nucleosynthesis at the high-mass end of the PN progenitor distribution.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript reports the identification of a planetary nebula spatially coincident with the center of a young star cluster in M31. Spectral decomposition of the blended cluster-plus-nebula spectrum is used to demonstrate consistent stellar and nebular radial velocities, supporting physical association. Isochrone fitting to the cluster color-magnitude diagram yields a cluster age of ~90 Myr and near-solar metallicity, from which a progenitor initial mass of 5.66^{+0.42}_{-0.37} M_⊙ is inferred. The nebula is found to be strongly nitrogen-enhanced (N/O ~7 times solar), interpreted as evidence for hot-bottom burning in a relatively massive AGB star. The result is presented as one of the highest empirical PN progenitor masses yet obtained.

Significance. If the association holds, the work supplies a rare direct empirical anchor for PN progenitor masses near the upper end of the AGB range and approaching the super-AGB boundary, a regime where theoretical predictions remain uncertain. The reported nitrogen enhancement provides an independent consistency check on nucleosynthesis models for stars in this mass range.

major comments (2)
  1. [spectral decomposition of the blended cluster-plus-nebula spectrum] The physical association is load-bearing for the entire mass determination. The radial-velocity consistency is obtained solely from spectral decomposition of blended light, yet the manuscript provides no formal velocity uncertainties, reduced-χ² of the decomposition, or robustness tests against alternative stellar templates or single-component assumptions (see the description of the blended-spectrum analysis).
  2. [isochrone fitting to the color-magnitude diagram] The quoted progenitor mass of 5.66^{+0.42}_{-0.37} M_⊙ rests on isochrone fitting to the cluster CMD, but the manuscript supplies no quantitative description of the fitting procedure, handling of field contamination, choice of isochrone library, or full error budget (see the isochrone-fitting paragraph).
minor comments (2)
  1. [abstract] The abstract states that velocities are 'consistent' without quoting the measured values or their uncertainties; adding these numbers would improve clarity.
  2. [HST imaging description] Figure captions and text should explicitly state the spatial offset of the nebula from the cluster center in arcseconds or parsecs.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their detailed and constructive report. The two major comments correctly identify areas where the manuscript would benefit from expanded methodological descriptions. We address each point below and will revise the manuscript to incorporate the requested details.

read point-by-point responses
  1. Referee: [spectral decomposition of the blended cluster-plus-nebula spectrum] The physical association is load-bearing for the entire mass determination. The radial-velocity consistency is obtained solely from spectral decomposition of blended light, yet the manuscript provides no formal velocity uncertainties, reduced-χ² of the decomposition, or robustness tests against alternative stellar templates or single-component assumptions (see the description of the blended-spectrum analysis).

    Authors: We agree that formal uncertainties, goodness-of-fit metrics, and robustness tests are necessary to substantiate the spectral decomposition. The revised manuscript will report the reduced-χ² of the two-component fit, the formal velocity uncertainties derived from the decomposition, and the outcomes of tests using alternative stellar templates as well as single-component models. These additions will be placed in the section describing the blended-spectrum analysis. revision: yes

  2. Referee: [isochrone fitting to the color-magnitude diagram] The quoted progenitor mass of 5.66^{+0.42}_{-0.37} M_⊙ rests on isochrone fitting to the cluster CMD, but the manuscript supplies no quantitative description of the fitting procedure, handling of field contamination, choice of isochrone library, or full error budget (see the isochrone-fitting paragraph).

    Authors: We acknowledge that the isochrone-fitting section lacks the quantitative details needed for reproducibility. The revised manuscript will expand this paragraph to describe the fitting algorithm employed, the treatment of field-star contamination, the specific isochrone library and version used, and the full error budget (including contributions from photometry, distance, reddening, and model systematics) that underlies the reported age, metallicity, and progenitor mass with its asymmetric uncertainties. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation self-contained

full rationale

The progenitor mass is obtained from standard isochrone fitting to the cluster CMD, an independent procedure whose inputs (photometry) do not include PN properties. Association is established by direct observables (spatial position and velocity match from decomposition) that serve only as a membership gate and do not enter the mass calculation or create feedback. No equations reduce by construction, no fitted parameters are relabeled as predictions, and no load-bearing self-citations are invoked to justify the central result. The chain is externally falsifiable via CMD data and spectra.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The mass estimate rests on the assumption of physical association and on standard isochrone models whose parameters are fitted to the observed CMD; no new physical entities are introduced.

free parameters (1)
  • cluster age = ~90 Myr
    Fitted via isochrones to the CMD; the central value and asymmetric uncertainties directly determine the quoted progenitor mass.
axioms (1)
  • domain assumption The nebula and cluster stars are at the same distance and formed at the same time.
    Required to convert cluster age into progenitor initial mass.

pith-pipeline@v0.9.1-grok · 5782 in / 1291 out tokens · 30708 ms · 2026-06-28T04:49:30.804731+00:00 · methodology

discussion (0)

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Works this paper leans on

72 extracted references · 66 canonical work pages · 5 internal anchors

  1. [1]

    E., & Sahu, K

    Bellini, A., Bond, H. E., & Sahu, K. C. 2025, AJ, 169, 199, doi: 10.3847/1538-3881/adb034

  2. [2]

    2019, A&A, 624, A132, doi: 10.1051/0004-6361/201834579

    Bhattacharya, S., Arnaboldi, M., Hartke, J., et al. 2019, A&A, 624, A132, doi: 10.1051/0004-6361/201834579

  3. [3]

    Bonatto, C., Bica, E., & Santos, J. F. C. 2008, MNRAS, 386, 324, doi: 10.1111/j.1365-2966.2008.13042.x

  4. [4]

    Bond, H. E. 2015, AJ, 149, 132, doi: 10.1088/0004-6256/149/4/132 9

  5. [5]

    E., Bastian, N., Bellini, A., et al

    Bond, H. E., Bastian, N., Bellini, A., et al. 2025, PASP, 137, 114202, doi: 10.1088/1538-3873/ae1664

  6. [6]

    G., Bell, T

    Bressan, A., Marigo, P., Girardi, L., et al. 2012, MNRAS, 427, 127, doi: 10.1111/j.1365-2966.2012.21948.x

  7. [7]

    2017, MNRAS, 466, 798, doi: 10.1093/mnras/stw3020

    Cappellari, M. 2017, MNRAS, 466, 798, doi: 10.1093/mnras/stw3020

  8. [8]

    2023, MNRAS, 526, 3273, doi: 10.1093/mnras/stad2597

    Cappellari, M. 2023, MNRAS, 526, 3273, doi: 10.1093/mnras/stad2597

  9. [9]

    2004, PASP, 116, 138, doi: 10.1086/381875

    Cappellari, M., & Emsellem, E. 2004, PASP, 116, 138, doi: 10.1086/381875

  10. [10]

    , keywords =

    Cardelli, J. A., Clayton, G. C., & Mathis, J. S. 1989, ApJ, 345, 245, doi: 10.1086/167900

  11. [11]

    2016, AJ, 152, 45, doi: 10.3847/0004-6256/152/2/45

    Chen, B., Liu, X., Xiang, M., et al. 2016, AJ, 152, 45, doi: 10.3847/0004-6256/152/2/45

  12. [12]

    MESA Isochrones and Stellar Tracks (MIST). I: Solar-Scaled Models

    Choi, J., Dotter, A., Conroy, C., et al. 2016, ApJ, 823, 102, doi: 10.3847/0004-637X/823/2/102

  13. [13]

    J., Williams, B

    Dalcanton, J. J., Williams, B. F., Lang, D., et al. 2012, ApJS, 200, 18, doi: 10.1088/0067-0049/200/2/18

  14. [14]

    2008, Journal of Econometrics, 146, 162

    Davidson, R., & Flachaire, E. 2008, Journal of Econometrics, 146, 162

  15. [15]

    D., Bond, H

    Davis, B. D., Bond, H. E., Ciardullo, R., & Jacoby, G. H. 2019, ApJ, 884, 115, doi: 10.3847/1538-4357/ab44d4

  16. [16]

    D., Ciardullo, R., Jacoby, G

    Davis, B. D., Ciardullo, R., Jacoby, G. H., Feldmeier, J. J., & Indahl, B. L. 2018, ApJ, 863, 189, doi: 10.3847/1538-4357/aad3c4

  17. [17]

    2014, MNRAS, 440, 536, doi: 10.1093/mnras/stu341

    Delgado-Inglada, G., Morisset, C., & Stasi´ nska, G. 2014, MNRAS, 440, 536, doi: 10.1093/mnras/stu341

  18. [18]

    L., Gil-Pons, P., Siess, L., & Lattanzio, J

    Doherty, C. L., Gil-Pons, P., Siess, L., & Lattanzio, J. C. 2017, PASA, 34, e056, doi: 10.1017/pasa.2017.52

  19. [19]

    Dolphin, A. E. 2002, MNRAS, 332, 91, doi: 10.1046/j.1365-8711.2002.05271.x

  20. [20]

    A., Jacoby, G

    Dopita, M. A., Jacoby, G. H., & Vassiliadis, E. 1992, ApJ, 389, 27, doi: 10.1086/171186

  21. [21]

    2016, ApJS, 222, 8, doi: 10.3847/0067-0049/222/1/8

    Dotter, A. 2016, ApJS, 222, 8, doi: 10.3847/0067-0049/222/1/8

  22. [22]

    2005, PASP, 117, 1411, doi: 10.1086/497385

    Fabricant, D., Fata, R., Roll, J., et al. 2005, PASP, 117, 1411, doi: 10.1086/497385

  23. [23]

    W., Lang, D., & Goodman, J

    Foreman-Mackey, D., Hogg, D. W., Lang, D., & Goodman, J. 2013, PASP, 125, 306, doi: 10.1086/670067

  24. [24]

    A., & Gon¸ calves, D

    Fragkou, V., Parker, Q. A., & Gon¸ calves, D. R. 2026, ApJ, 996, 90, doi: 10.3847/1538-4357/ae1f0c

  25. [25]

    A., Zijlstra, A., Shaw, R., & Lykou, F

    Fragkou, V., Parker, Q. A., Zijlstra, A., Shaw, R., & Lykou, F. 2019a, MNRAS, 484, 3078, doi: 10.1093/mnras/stz108

  26. [26]

    2019b, Nature Astronomy, 3, 851, doi: 10.1038/s41550-019-0796-x

    Barker, H. 2019b, Nature Astronomy, 3, 851, doi: 10.1038/s41550-019-0796-x

  27. [27]

    A., Zijlstra, A

    Fragkou, V., Parker, Q. A., Zijlstra, A. A., et al. 2022a, Galaxies, 10, 44, doi: 10.3390/galaxies10020044

  28. [28]

    A., Zijlstra, A

    Fragkou, V., Parker, Q. A., Zijlstra, A. A., et al. 2022b, ApJL, 935, L35, doi: 10.3847/2041-8213/ac88c1

  29. [29]

    A., Gon¸ calves, D

    Fragkou, V., V´ azquez, R., Parker, Q. A., Gon¸ calves, D. R., & Lomel´ ı-N´ u˜ nez, L. 2025, A&A, 696, A146, doi: 10.1051/0004-6361/202453031

  30. [30]

    J., Parker, Q

    Frew, D. J., Parker, Q. A., & Bojiˇ ci´ c, I. S. 2016, MNRAS, 455, 1459, doi: 10.1093/mnras/stv1516

  31. [31]

    M., Mathieu, R

    Geller, A. M., Mathieu, R. D., Braden, E. K., et al. 2010, AJ, 139, 1383, doi: 10.1088/0004-6256/139/4/1383

  32. [32]

    A., & Miller Bertolami, M

    Gesicki, K., Zijlstra, A. A., & Miller Bertolami, M. M. 2018, Nature Astronomy, 2, 580, doi: 10.1038/s41550-018-0453-9 Gonz´ alez-D´ ıaz, D., Moni Bidin, C., Silva-Villa, E., et al. 2019, A&A, 626, A10, doi: 10.1051/0004-6361/201935243

  33. [33]

    Henry, R. B. C., Stephenson, B. G., Miller Bertolami, M. M., Kwitter, K. B., & Balick, B. 2018, MNRAS, 473, 241, doi: 10.1093/mnras/stx2286

  34. [34]

    Jacoby, G. H. 1989, ApJ, 339, 39, doi: 10.1086/167274

  35. [35]

    H., & Ciardullo, R

    Jacoby, G. H., & Ciardullo, R. 2025, ApJ, 983, 129, doi: 10.3847/1538-4357/adc0fb

  36. [36]

    H., Ciardullo, R., De Marco, O., et al

    Jacoby, G. H., Ciardullo, R., De Marco, O., et al. 2013, ApJ, 769, 10, doi: 10.1088/0004-637X/769/1/10

  37. [37]

    C., Seth, A

    Johnson, L. C., Seth, A. C., Dalcanton, J. J., et al. 2015, ApJ, 802, 127, doi: 10.1088/0004-637X/802/2/127

  38. [38]

    C., Seth, A

    Johnson, L. C., Seth, A. C., Dalcanton, J. J., et al. 2016, ApJ, 827, 33, doi: 10.3847/0004-637X/827/1/33

  39. [39]

    C., Wainer, T

    Johnson, L. C., Wainer, T. M., Torresvillanueva, E. E., et al. 2022, ApJ, 938, 81, doi: 10.3847/1538-4357/ac8def

  40. [40]

    I., & Lattanzio, J

    Karakas, A. I., & Lattanzio, J. C. 2014, PASA, 31, e030, doi: 10.1017/pasa.2014.21

  41. [41]

    I., & Lugaro, M

    Karakas, A. I., & Lugaro, M. 2016, ApJ, 825, 26, doi: 10.3847/0004-637X/825/1/26

  42. [42]

    L., & Barlow, M

    Kingsburgh, R. L., & Barlow, M. J. 1994, MNRAS, 271, 257, doi: 10.1093/mnras/271.2.257

  43. [43]

    B., & Henry, R

    Kwitter, K. B., & Henry, R. B. C. 2022, PASP, 134, 022001, doi: 10.1088/1538-3873/ac32b1

  44. [44]

    S., & Richtler, T

    Larsen, S. S., & Richtler, T. 2006, A&A, 459, 103, doi: 10.1051/0004-6361:20065816

  45. [45]

    G., Busch, M

    Li, S., Riess, A. G., Busch, M. P., et al. 2021, ApJ, 920, 84, doi: 10.3847/1538-4357/ac1597

  46. [46]

    , keywords =

    Liu, X.-W., Storey, P. J., Barlow, M. J., et al. 2000, MNRAS, 312, 585, doi: 10.1046/j.1365-8711.2000.03167.x

  47. [47]

    Luridiana, V., Morisset, C., & Shaw, R. A. 2015, A&A, 573, A42, doi: 10.1051/0004-6361/201323152

  48. [48]

    J., Turner, D

    Majaess, D. J., Turner, D. G., & Lane, D. J. 2007, PASP, 119, 1349, doi: 10.1086/524414

  49. [49]

    2017, ApJ, 835, 77, doi: 10.3847/1538-4357/835/1/77

    Marigo, P., Girardi, L., Bressan, A., et al. 2017, ApJ, 835, 77, doi: 10.3847/1538-4357/835/1/77

  50. [50]

    Mathieu, R. D. 2000, in Astronomical Society of the Pacific Conference Series, Vol. 198, Stellar Clusters and Associations: Convection, Rotation, and Dynamos, ed. R. Pallavicini, G. Micela, & S. Sciortino, 517 10

  51. [51]

    J., Ekers, R

    Merrett, H. R., Merrifield, M. R., Douglas, N. G., et al. 2006, MNRAS, 369, 120, doi: 10.1111/j.1365-2966.2006.10268.x Miller Bertolami, M. M. 2016, A&A, 588, A25, doi: 10.1051/0004-6361/201526577 Moni Bidin, C., Majaess, D., Bonatto, C., et al. 2014, A&A, 561, A119, doi: 10.1051/0004-6361/201220802 Moraga Baez, P., Kastner, J. H., Balick, B., Montez, R., &

  52. [52]

    2023, ApJ, 942, 15, doi: 10.3847/1538-4357/aca401

    Bublitz, J. 2023, ApJ, 942, 15, doi: 10.3847/1538-4357/aca401

  53. [53]

    2017, in IAU Symposium, Vol

    Morisset, C. 2017, in IAU Symposium, Vol. 323, Planetary Nebulae: Multi-Wavelength Probes of Stellar and Galactic Evolution, ed. X. Liu, L. Stanghellini, & A. Karakas, 43–50, doi: 10.1017/S1743921317001004

  54. [54]

    Morisset, C., Corradi, R. L. M., Garc´ ıa-Rojas, J., et al. 2023, A&A, 674, L6, doi: 10.1051/0004-6361/202346296

  55. [55]

    F., & Massey, P

    Neugent, K. F., & Massey, P. 2014, ApJ, 789, 10, doi: 10.1088/0004-637X/789/1/10

  56. [56]

    F., & Massey, P

    Neugent, K. F., & Massey, P. 2015, in IAU Symposium, Vol. 307, New Windows on Massive Stars, ed. G. Meynet, C. Georgy, J. Groh, & P. Stee, 127–128, doi: 10.1017/S1743921314006516

  57. [57]

    F., Massey, P., & Georgy, C

    Neugent, K. F., Massey, P., & Georgy, C. 2012, ApJ, 759, 11, doi: 10.1088/0004-637X/759/1/11

  58. [58]

    , keywords =

    Parker, Q. A., Frew, D. J., Miszalski, B., et al. 2011, MNRAS, 413, 1835, doi: 10.1111/j.1365-2966.2011.18259.x

  59. [59]

    1978, in IAU Symposium, Vol

    Peimbert, M. 1978, in IAU Symposium, Vol. 76, Planetary Nebulae, ed. Y. Terzian, 215–224

  60. [60]

    1969, Boletin de los Observatorios Tonantzintla y Tacubaya, 5, 3

    Peimbert, M., & Costero, R. 1969, Boletin de los Observatorios Tonantzintla y Tacubaya, 5, 3

  61. [61]

    1983, in IAU

    Peimbert, M., & Torres-Peimbert, S. 1983, in IAU

  62. [62]

    A., Weidmann, W

    Pignata, R. A., Weidmann, W. A., Schmidt, E. O., Mudrik, A., & Mast, D. 2024, MNRAS, 528, 459, doi: 10.1093/mnras/stad3568

  63. [63]

    M., Jacoby, G

    Roth, M. M., Jacoby, G. H., Ciardullo, R., et al. 2021, ApJ, 916, 21, doi: 10.3847/1538-4357/ac02ca Sch¨ onberner, D., Jacob, R., Sandin, C., & Steffen, M. 2010, A&A, 523, A86, doi: 10.1051/0004-6361/200913427

  64. [64]

    Smith-Perez, C., Hembruff, A., Peeters, E., Tielens, A. G. G. M., & Ricca, A. 2026, A&A, 707, A201, doi: 10.1051/0004-6361/202557653

  65. [65]

    A., Valenzuela, L

    Soemitro, A. A., Valenzuela, L. M., Roth, M. M., et al. 2025, A&A, 704, A303, doi: 10.1051/0004-6361/202557218

  66. [66]

    1997, in IAU

    Torres-Peimbert, S., & Peimbert, M. 1997, in IAU

  67. [67]

    2016, MNRAS, 463, 3409, doi: 10.1093/mnras/stw2231

    Vazdekis, A., Koleva, M., Ricciardelli, E., R¨ ock, B., & Falc´ on-Barroso, J. 2016, MNRAS, 463, 3409, doi: 10.1093/mnras/stw2231

  68. [68]

    Ventura, P., Stanghellini, L., Dell’Agli, F., & Garc´ ıa-Hern´ andez, D. A. 2017, MNRAS, 471, 4648, doi: 10.1093/mnras/stx1907

  69. [69]

    2023, A&A, 678, A89, doi: 10.1051/0004-6361/202347217

    Werner, K., Reindl, N., Raddi, R., et al. 2023, A&A, 678, A89, doi: 10.1051/0004-6361/202347217

  70. [70]

    F., Lang, D., Dalcanton, J

    Williams, B. F., Lang, D., Dalcanton, J. J., et al. 2014, ApJS, 215, 9, doi: 10.1088/0067-0049/215/1/9

  71. [71]

    F., Durbin, M., Lang, D., et al

    Williams, B. F., Durbin, M., Lang, D., et al. 2023, ApJS, 268, 48, doi: 10.3847/1538-4365/acea61

  72. [72]

    Wu, C. F. J. 1986, The Annals of Statistics, 14, 1261 , doi: 10.1214/aos/1176350142