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arxiv: 2606.12242 · v1 · pith:ZU7ZWU3Onew · submitted 2026-06-10 · 🌌 astro-ph.SR

Shaping the horizontal branch: The role of envelope mass in the evolution of stripped core-helium-burning stars

Pith reviewed 2026-06-27 08:12 UTC · model grok-4.3

classification 🌌 astro-ph.SR
keywords horizontal branchstripped starsenvelope masscore helium burningblue hook starsasymptotic giant branchstellar evolutionMESA
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The pith

The residual hydrogen envelope mass after stripping on the first giant branch sets the horizontal branch position of core-helium-burning stars and the maximum mass that still avoids later thermally pulsing asymptotic giant branch evolution.

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

Stars that lose their hydrogen envelopes on the first giant branch become core-helium-burning stars whose location on the horizontal branch depends on how much envelope remains. Models varying the envelope mass from near zero up to several tenths of a solar mass show that effective temperature drops as more envelope is left. The maximum envelope mass that still prevents later evolution through the thermally pulsing asymptotic giant branch increases with progenitor mass, from about 0.05 solar masses at low mass to 0.30 at intermediate mass. Early stripping on low-mass stars produces a late hot flash that accounts for the hottest observed blue hook stars. Partial stripping on intermediate-mass stars can create extended pre-horizontal-branch phases seen in some binary systems.

Core claim

We computed evolutionary sequences for stripped stars with initial masses below about 6 solar masses at two metallicities, removing the envelope at the minimum and maximum core masses for helium ignition and varying the remaining envelope mass. As envelope mass rises, stars sit at cooler temperatures on the horizontal branch. The upper limit on envelope mass to skip the thermally pulsing asymptotic giant branch is 0.05 solar masses for low-mass progenitors and 0.30 solar masses for intermediate-mass ones. Early envelope loss in low-mass cases triggers a late hot flash that reproduces the properties of the hottest blue hook stars, while intermediate-mass cases with partial stripping match ext

What carries the argument

Residual hydrogen-envelope mass after stripping on the first giant branch, which controls effective temperature on the horizontal branch and the path of subsequent evolution.

If this is right

  • Effective temperature along the horizontal branch decreases with increasing residual envelope mass.
  • Maximum residual envelope mass to avoid the thermally pulsing asymptotic giant branch is approximately 0.05 solar masses for low-mass progenitors and 0.30 solar masses for intermediate-mass progenitors.
  • Early envelope removal in low-mass progenitors induces a late hot flash that explains the hottest blue hook stars.
  • Partial envelope stripping in intermediate-mass systems produces extended pre-horizontal-branch configurations observed in binaries with Be companions.
  • Post-stripping evolutionary tracks are made available for use in binary population synthesis.

Where Pith is reading between the lines

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

  • These envelope mass thresholds may help predict the fraction of horizontal branch stars versus asymptotic giant branch stars in stellar populations.
  • The models could be tested against observed horizontal branch morphologies in globular clusters at different metallicities.
  • The late hot flash mechanism might apply to other stripping scenarios such as those in close binaries.
  • Extending the grid to higher masses or different stripping timings could reveal additional pathways for blue hook star formation.

Load-bearing premise

Envelope removal is assumed to occur on the first giant branch at the two extreme core masses that allow helium ignition.

What would settle it

A direct count of whether stars with measured envelope masses above 0.30 solar masses for intermediate-mass progenitors proceed to the thermally pulsing asymptotic giant branch or remain on the horizontal branch.

Figures

Figures reproduced from arXiv: 2606.12242 by Alex Dur\'an-Reyes, Alexey Bobrick, Eduardo Arancibia-Rojas, Maja Vu\v{c}kovi\'c, M\'onica Zorotovic.

Figure 1
Figure 1. Figure 1: shows the evolutionary tracks in the HR diagram for a star with an initial mass of 1.5 M⊙, stripped of its envelope at [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 3
Figure 3. Figure 3 [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Left: same as in [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Same as in [PITH_FULL_IMAGE:figures/full_fig_p005_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Top panel: critical envelope mass required to reach the TPAGB phase, as a function of MZAMS. Black circles show the initial residual envelope mass set by the relax_mass process. Red plus signs and blue crosses show the envelope mass at the beginning and end of the sub￾sequent subdwarf phase, respectively. Bottom panel: He-core mass at the tip of the FGB phase (black circles) and the enclosed mass of the st… view at source ↗
Figure 7
Figure 7. Figure 7: Evolution in the Menv–MHe,core plane for the first models that reach the TPAGB phase for different ZAMS masses (labelled at the beginning of each track). Progenitors with degenerate (left panel) and non-degenerate (right panel) ignition are shown separately. Black circles indicate Menv and MHe,core immediately after stripping, while red plus signs and blue crosses mark the beginning and end of the subdwarf… view at source ↗
Figure 8
Figure 8. Figure 8: Location of our models during the hot subdwarf phase (as defined in Sect. 2) in the HR (top) and Kiel (bottom) diagrams. Left and right panels separate low-mass progenitors (MZAMS ≤ 1.9 M⊙), with degenerate He cores, from higher-mass ones (MZAMS ≥ 2.0 M⊙), that ignite He under non-degenerate or mildly degenerate conditions. Different symbols denote different ZAMS masses. Colours indicate the instantaneous … view at source ↗
Figure 9
Figure 9. Figure 9: Comparison of post-stripping evolutionary tracks in the HR diagram for MZAMS = 1.5 M⊙ (left) and MZAMS = 3.0 M⊙ (right) in the tip FGB (blue) and early (black) removal scenarios. All models shown were left with a residual envelope of 0.01 M⊙. The symbol coding is the same as in [PITH_FULL_IMAGE:figures/full_fig_p008_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: Evolution of physical parameters after stripping in the early-removal scenario for MZAMS = 1.5 M⊙ (left) and MZAMS = 3.0 M⊙ (right) models with Menv = 0.01 M⊙. The panels show the same quantities as in [PITH_FULL_IMAGE:figures/full_fig_p008_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: Same as in [PITH_FULL_IMAGE:figures/full_fig_p009_11.png] view at source ↗
Figure 12
Figure 12. Figure 12 [PITH_FULL_IMAGE:figures/full_fig_p009_12.png] view at source ↗
read the original abstract

The location of a star along the horizontal branch (HB) during core-helium burning is primarily determined by the amount of mass lost by its progenitor. We investigate the formation and properties of stripped core-helium-burning stars, focusing on how the residual hydrogen-envelope mass ($M_{\mathrm{env}}$) and the timing of envelope removal shape their properties. We used the MESA stellar evolution code to model stars that lose their hydrogen envelopes on the first giant branch. We explored two limiting cases for the timing of stripping, corresponding to the minimum and maximum core masses for helium ignition, for progenitors with initial masses below $\sim$6 $M_{\odot}$ at two metallicities ($Z=0.02$ and $Z=0.004$), while systematically varying $M_{\mathrm{env}}$. As expected, the effective temperature along the HB decreases as $M_{\mathrm{env}}$ increases. We determined the maximum $M_{\mathrm{env}}$ required to avoid subsequent evolution through the thermally pulsing asymptotic giant branch, which ranges from $\sim0.05$ $M_{\odot}$, for low-mass progenitors to $\sim0.30$ $M_{\odot}$ for intermediate-mass progenitors. In low-mass progenitors, early envelope removal triggers a late hot flash, naturally explaining the hottest blue hook stars. In intermediate-mass systems, partial envelope stripping can produce extended pre-HB configurations consistent with puffed-up stripped stars observed in binaries with Be companions. Our post-stripping evolutionary tracks are publicly available for use in binary evolution and population synthesis studies.

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

1 major / 0 minor

Summary. The paper uses MESA to model stars that lose their hydrogen envelopes on the first giant branch, exploring two limiting cases for the timing of stripping (minimum and maximum core masses for helium ignition) for progenitors below ~6 Msun at Z=0.02 and Z=0.004 while varying residual envelope mass M_env. It reports that effective temperature on the HB decreases with increasing M_env, determines the maximum M_env to avoid TP-AGB evolution (~0.05 Msun for low-mass to ~0.30 Msun for intermediate-mass progenitors), and notes that early stripping in low-mass stars triggers a late hot flash while partial stripping in intermediate-mass systems can produce extended pre-HB phases. Post-stripping tracks are made public.

Significance. If the numerical results hold, the work supplies publicly available evolutionary tracks useful for binary population synthesis and offers a natural explanation for the hottest blue hook stars via late hot flashes in low-mass stripped stars. The systematic parameter variation over progenitor mass and metallicity strengthens the mapping from M_env to HB location and TP-AGB avoidance.

major comments (1)
  1. [Abstract and methods description] Abstract and methods description: the reported maximum M_env thresholds (0.05–0.30 Msun) are obtained exclusively from instantaneous envelope removal at the two limiting core masses for He ignition. No sequences with finite-rate removal (e.g., over 10^4–10^6 yr) or continuous mass-loss histories are described; because core growth and thermal relaxation during stripping depend on the adopted timescale, the critical M_env values could shift by an amount comparable to the quoted range itself.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for identifying this methodological point. We address the comment below.

read point-by-point responses
  1. Referee: [Abstract and methods description] Abstract and methods description: the reported maximum M_env thresholds (0.05–0.30 Msun) are obtained exclusively from instantaneous envelope removal at the two limiting core masses for He ignition. No sequences with finite-rate removal (e.g., over 10^4–10^6 yr) or continuous mass-loss histories are described; because core growth and thermal relaxation during stripping depend on the adopted timescale, the critical M_env values could shift by an amount comparable to the quoted range itself.

    Authors: We thank the referee for this observation. Our calculations deliberately employ instantaneous envelope removal at the two limiting core masses for helium ignition precisely to bracket the range of possible stripping outcomes while isolating the dependence on residual envelope mass M_env. These two cases correspond to the earliest and latest plausible moments of envelope loss on the first giant branch. We acknowledge that a finite-duration mass-loss episode would permit some core growth and thermal readjustment during the stripping phase itself, and that the precise critical M_env values separating HB from TP-AGB evolution could therefore differ from the instantaneous limits we report. In the revised manuscript we will (i) state explicitly in the methods section that envelope removal is modeled as instantaneous, (ii) add a brief discussion of how continuous mass-loss histories would be expected to produce results intermediate between our two limiting cases, and (iii) note this modeling choice as a limitation when interpreting the quoted M_env thresholds. We believe these additions will clarify the scope of the reported thresholds without altering the main conclusions of the work. revision: yes

Circularity Check

0 steps flagged

No circularity: numerical forward modeling with M_env varied as explicit input

full rationale

The paper runs MESA simulations that take initial mass, metallicity, stripping timing (two fixed RGB core-mass limits), and residual M_env as independent inputs, then reports the resulting HB properties and the M_env threshold that avoids TP-AGB evolution. These thresholds are direct simulation outputs, not quantities obtained by fitting to data and then relabeled as predictions, nor derived from self-citations whose content reduces to the present work. No self-definitional loops, ansatz smuggling, or renaming of known results appear in the derivation chain. The work is self-contained against external stellar-evolution benchmarks.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The work rests on standard MESA stellar evolution assumptions and the choice to explore two limiting stripping times on the first giant branch; no new entities are introduced and M_env is treated as a free exploration parameter rather than a fitted constant.

free parameters (1)
  • M_env
    Systematically varied across runs to map its effect on HB temperature and later evolution; not fitted to data but chosen as the central control variable.
axioms (2)
  • domain assumption MESA code accurately captures core helium burning, envelope stripping, and subsequent evolution for stars below 6 solar masses at the stated metallicities.
    All results derive from MESA runs; no independent verification of the code's behavior for these stripped configurations is provided in the abstract.
  • domain assumption Envelope removal occurs on the first giant branch in the two limiting core-mass cases for helium ignition.
    Explicitly stated as the modeling setup in the abstract.

pith-pipeline@v0.9.1-grok · 5844 in / 1507 out tokens · 19619 ms · 2026-06-27T08:12:41.971342+00:00 · methodology

discussion (0)

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