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A pilot sample of Planck-selected strongly lensed sub-mm galaxies: NOEMA observations and physical characterisation

T0 review · 1 major / 6 minor · reviewed 2026-08-01 · deepseek-v4-flash

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Pith's one-line read Four Planck-selected sub-mm galaxies are confirmed as strongly lensed dusty starbursts.

desk verdict Solid NOEMA pilot that delivers reliable redshifts and one good lens model; the weak joint is the two sources whose lensing claim rests on a scatter-dominated L_CO-FWHM offset. read the letter →

arxiv 2607.19478 v2 pith:BZLTPZ3Q submitted 2026-07-21 astro-ph.GA

Leonardo Trobbiani , Matteo Bonato , Ivano Baronchelli , Gianfranco De Zotti , Mattia Negrello , Marika Giulietti , Stefano Berta , Cristian Vignali
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Marcella Massardi
This is my paper
classification astro-ph.GA
keywords stronggravitationallensingsubmillimetergalaxiesdustystar-formingISM:linesandbandsgalaxies:high-redshiftstarformationmoleculargasNOEMAobservations
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

This paper presents NOEMA observations of four bright sub-millimetre galaxies picked from the Planck catalogue as candidate strongly lensed dusty starbursts. It aims to confirm that the extreme brightness of these sources comes from gravitational magnification rather than intrinsic luminosity, and to measure their redshifts, gas kinematics, and molecular gas reservoirs. The authors detect at least two CO lines per source with high signal-to-noise, secure spectroscopic redshifts between about 2.3 and 3.3, and find that all four sources lie well above the CO line luminosity–linewidth relation for unlensed galaxies—an independent sign of strong lensing. For one source, a gravitational lens model reproduces the observed fold configuration and yields a magnification of about 11, matching the value inferred from the CO relation. If correct, these are four newly characterised strongly lensed dusty star-forming galaxies whose magnified molecular gas masses reach roughly 1.4–7×10¹² solar masses.

What carries the argument

The load-bearing diagnostic is the empirical CO line luminosity–linewidth (L′_CO(1-0)–FWHM) relation for unlensed dusty galaxies: strong lensing multiplies the observed line luminosity but leaves the linewidth unchanged, so a lensed source appears as an outlier above the relation by a factor equal to its magnification. The paper combines this with NOEMA observations of multiple CO transitions (and [CI] for one source) to establish redshifts from line frequencies, and with parametric gravitational lens modelling—a singular isothermal ellipsoid mass profile plus a Sérsic source, fitted directly in the visibility plane—for the one source, Planck-41, whose multiple images are resolved.

What would settle it

Sub-arcsecond imaging of Planck-68 and Planck-188 that resolves no multiple images, Einstein ring, or foreground deflector at the expected Einstein radius would falsify the claim that all four sources are strongly lensed; alternatively, showing that an unlensed hyper-luminous galaxy can sit as far above the Bothwell relation as these sources would remove the diagnostic's power.

Watch

Extended reading notes

Core claim

The central claim is that all four sources—Planck-41, Planck-68, Planck-89, and Planck-188—are strongly lensed, high-redshift dusty star-forming galaxies. Support comes from multiple high-S/N CO line detections giving spectroscopic redshifts of 2.348, 2.436, 3.254, and 2.490, and from the fact that all four sit far above the empirical CO luminosity–linewidth relation for unlensed galaxies; gravitational lensing boosts apparent line luminosity without widening the line. Three sources show broad, double-peaked CO profiles and velocity gradients, consistent with rotating disks or mergers seen through a caustic, while the fourth has narrow single-peaked lines, possibly a face-on disk. For Planck

Load-bearing premise

For two of the four sources, the claim that they are lensed rests mainly on their position above a CO luminosity–linewidth relation calibrated on unlensed galaxies; if that relation is biased for such extreme systems, the lensing confirmation for those two collapses.

Editorial extensions

If this is right

  • The four sources become part of the small population of Planck-selected lensed dusty galaxies with secure spectroscopic redshifts and kinematic information.
  • Magnifications from the CO relation, combined across two transitions, agree with detailed lens modelling for Planck-41, supporting the relation as a population-level lensing diagnostic.
  • Demagnifying Planck-41 with a factor of about 11 yields an intrinsic molecular gas mass near 2×10¹¹ M☉, consistent with massive gas-rich starbursts at z ≈ 2–3.
  • Broad double-peaked CO profiles in three of four sources suggest that strongly lensed samples may preferentially catch high-inclination or merger-like kinematics.
  • The apparent molecular gas masses of roughly 1.4–7×10¹² M☉ place these systems among the most gas-rich known at high redshift, with Planck-89 the most extreme.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • For Planck-68 and Planck-188, whose NOEMA continuum shows no direct lensing morphology, the lensing confirmation rests entirely on the CO luminosity–linewidth offset; higher-resolution imaging that fails to reveal multiple images or an Einstein ring would weaken their confirmation.
  • If the strong preference for double-peaked profiles (three of four, versus 20–28% in unlensed samples) holds in a larger sample, it would indicate a real selection bias: extreme magnification may preferentially pick inclined disks or mergers near fold caustics, shaping all physical conclusions drawn from Planck-lensed samples.
  • The close agreement between CO-based and lens-model magnifications for Planck-41, despite the relation's large intrinsic scatter, suggests that averaging multiple CO transitions may suppress that scatter; a systematic test on a sample with independent lens models would show whether the relation can be trusted for individual sources or only statistically.
  • The narrow [CI](1-0) width in Planck-68 relative to CO, paired with the implied high gas density, hints that dense-gas tracers may sample a more compact region than CO; matched-resolution mapping of both species could reveal excitation gradients inside the lensed source.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

1 major / 6 minor

Summary. This paper presents NOEMA 2/3 mm continuum and CO line observations of four Planck-selected sub-millimetre galaxy candidates (Planck-41, 68, 89, 188). For each source, two CO transitions are detected at high S/N (plus [CI](1-0) for Planck-68), yielding spectroscopic redshifts z≈2.35–3.25 with δz≈1e-4. The paper measures line fluxes, widths, and moment maps, and performs a parametric PyAutoLens gravitational lens model for one source (Planck-41) using the 2 mm continuum, obtaining µ_cont=10.8. It argues that all four sources are strongly lensed based on continuum morphology (multiple images for Planck-41, Einstein ring for Planck-89 from VLA data) and on their location above the CO line luminosity–linewidth relation. It derives magnified molecular gas masses µM_mol~1.4–7.0×10^12 M☉ and compares sample properties with literature samples.

Significance. The paper provides a small but valuable pilot sample of bright, high-redshift galaxies selected from Planck, with high-quality spectroscopic redshifts and a detailed kinematic characterisation from NOEMA. The robust multi-line redshift determinations, the public release of reduced data products, and the transparent use of an open-source lens-modelling code (PyAutoLens) are strengths. The comparison with the Bothwell et al. (2013) relation and with the PASSAGES and z-GAL samples places the sources in context. If the lensing status is confirmed for all four sources, the measured gas masses would make them among the most extreme known starbursts. However, the confirmation of lensing for two of the four sources rests on weaker evidence, as detailed below.

major comments (1)
  1. [Sec. 6.1/Fig. 5 and Sec. 4.1] The claim that all four sources are 'independently confirmed' as strongly lensed is over-stated for Planck-68 and Planck-188. Their NOEMA continuum maps show no multiple images or Einstein ring (Sec. 4.1), and no foreground deflector is identified. Their lensed status rests solely on the offset above the Bothwell et al. (2013) L′_CO(1−0)–FWHM relation. The paper itself reports in Sec. 6.1 that this relation gives µ=36±14 for Planck-89 versus µ=8.3 from VLA lens modelling (factor-of-four systematics), and in Sec. 4.2 offers a face-on rotating disk as a possible explanation for Planck-188’s narrow single-peaked profile. A face-on unlensed disk would also be displaced upward in an inclination-unresolved L′–FWHM diagram, producing exactly the observed signature. Thus the offset cannot serve as an independent confirmation of lensing for these two objects. The abstract and Sec. 7 should be rev
minor comments (6)
  1. [Eq. (1), Sec. 4.1] The text says the noise is 'rescaled by the number N of synthesised beams'; Eq. (1) correctly uses sqrt(N σ^2), so the wording should say 'by the square root of N beams'.
  2. [Sec. 4.2, Planck-89 CO(4-3)] The integrated flux in the text is quoted as 26.99±0.56 Jy km/s while Table 4 lists 26.93±0.55 Jy km/s; please harmonise.
  3. [References (Dannerbauer et al.)] The entries Dannerbauer et al. 2019a and 2019b appear to be identical (AJ, 158, 34) and are likely the same work cited twice; please correct.
  4. [Fig. 2 caption] Please indicate in the caption which panel corresponds to 2 mm and which to 3 mm for each source; the text refers to left/right panels but the caption does not specify wavelengths.
  5. [Sec. 6.1, Fig. 5] The axis label '(µ) L′_CO(1−0)' is ambiguous; recommend writing µL′_CO(1−0) to make clear that the plotted quantity is the magnified luminosity.
  6. [Sec. 4.2, Table 1] The redshift uncertainty for Planck-188 is quoted as δz≈5×10^-5 in the text but 0.00003 in Table 1; please make consistent.

Circularity Check

0 steps flagged · score 2.0 of 10

No significant circularity; external Bothwell relation and independent lens model carry the lensing claim; only minor self-citations in sample selection.

full rationale

The paper's lensing confirmation rests on the external Bothwell et al. (2013) L'_CO(1-0)-FWHM relation for unlensed galaxies (Sec. 6.1, Fig. 5), which is an independent empirical benchmark and is not fitted to, or derived from, the present NOEMA data. The Planck-41 lens model (Sec. 5) is a separate PyAutoLens reconstruction of the continuum; its magnification (mu_cont=10.8) is compared with, not derived from, the CO-relation estimate (mu=11±4). The 'within 2%' demagnified-CO/relation concordance is an explicit consistency check and is cautioned against over-emphasis in Sec. 6.1: 'this concordance should not be over-emphasised: the large scatter of the relation means that CO-based mu estimates are unreliable in general, as illustrated by Planck-89' (mu=36±14 vs mu_VLA=8.3). The paper also flags the evidentiary weakness for Planck-68/188 in Sec. 4.1: 'Planck-68 and 188 show compact morphologies in the continuum and no direct hint of strong lensing.' These are honest limitations, not circular steps. Gas-mass and CO-line-ratio conversions use external calibrations (Harrington et al. 2021; Berta et al. 2023). The only self-citations (parent paper in prep., Trombetti et al. 2021) concern sample selection and are not load-bearing for the physical results. No predicted quantity reduces by construction to a fitted input or to an author-imported uniqueness theorem.

Assumptions & free parameters 2 free parameters · 6 assumptions · 0 invented entities

The central claims rest on standard external calibrations (Bothwell line-width–luminosity relation, PASSAGES excitation ratios, CO and CI conversion factors) and on parametric lens-model choices (SIE mass, core-Sérsic light). None of these are derived in the paper; the paper's own contribution is the observational data reduction and the lens fitting. The two hand-set parameters are listed as free parameters. No new physical entities are introduced.

free parameters (2)
  • Fixed core-Sérsic source parameters (α, β, R_break) = α=3.0, β=0.25, R_break=0.025 arcsec
    Chosen by hand in the Planck-41 lens model (Appendix B) because the inner source core is unresolved; they set the inner light profile but are not constrained by the data and are not the main drivers of the magnification estimate.
  • Differential magnification ratio µ1/µ2 between kinematic peaks = 2 (assumed)
    Adopted in Sect. 4.2 to include a systematic redshift uncertainty for the three double-peaked sources; typical for fold-lens configurations (Blain 1999; Serjeant 2012), but not directly measured here.
assumptions (6)
  • domain assumption Bothwell et al. (2013) empirical relation L′_CO(1-0)=10^5.4 ΔV² for unlensed DSFGs holds for these extreme galaxies and can identify lensed sources.
    Section 6.1 and Fig. 5; used to confirm lensing and to estimate magnifications for all four sources. If the relation is biased for these systems, the lensing confirmation for Planck-68 and -188 is weakened.
  • domain assumption PASSAGES CO excitation ratios r31=0.69±0.12, r41=0.52±0.14, r51=0.37±0.15 (Harrington et al. 2021) apply to these sources.
    Section 6.1, Eq. 4; used to convert high-J CO luminosities to L′_CO(1-0); assumes the average excitation of Planck-selected DSFGs matches these sources.
  • domain assumption CO-to-H2 conversion factor α_CO=4.0 M☉ (K km s⁻¹ pc²)⁻¹ (Bolatto et al. 2013; Berta et al. 2023) is appropriate for these galaxies.
    Section 6.2; the resulting gas masses scale inversely with α_CO, and the paper notes the commonly used alternative α_CO=0.8 would lower masses by 5×.
  • domain assumption [CI](1-0)-to-H2 conversion factor α_CI=16.2±7.9 M☉ (K km s⁻¹ pc²)⁻¹ (Harrington et al. 2021) is appropriate.
    Section 6.2; used to derive an independent gas mass for Planck-68; the large uncertainty is propagated.
  • domain assumption The lens mass distribution is a power-law/SIE and the source light is a core-Sérsic profile (PyAutoLens SLaM).
    Appendix B; these parametric forms are standard, but with the source only marginally resolved the model has known degeneracies (θE–Reff, slope–brightness).
  • domain assumption The photometric redshift of the lens galaxy, z_lens=0.291 (Duncan 2022), is correct and fixed in the lens modelling.
    Section 5; a wrong lens redshift would shift the Einstein radius and mass. The value is taken from an external catalogue, not derived here.

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Pith. "Pith review of A pilot sample of Planck-selected strongly lensed sub-mm galaxies: NOEMA observations and physical characterisation." pith.science (2026). https://pith.science/paper/BZLTPZ3Q

@misc{pith2026260719478,
  author       = {Pith},
  title        = {Pith review of: A pilot sample of Planck-selected strongly lensed sub-mm galaxies: NOEMA observations and physical characterisation},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/BZLTPZ3Q}},
  note         = {Machine review of arXiv:2607.19478}
}
abstract

The extreme brightness of high-$z$ strongly lensed galaxies detected by Planck surveys, thanks to their exceptionally large gravitational magnifications, offers a unique opportunity to investigate in extraordinary detail their structure and kinematics during their active star-formation phase. As a step in this direction, we present and analyse NOEMA imaging and spectroscopic data for four lensed high-z galaxy candidates. We performed continuum and line imaging of the sources at 2 and 3 mm bands down to $1''.2$ spatial resolution and 40 $\rm{km}\,{\rm s}^{-1}$ spectral resolution, reconstructed and fitted the line profiles, and produced moment maps of the line emission to investigate the spatial distribution and kinematics of the molecular gas. We also carried out the gravitational lens modelling for one of the sources. The continuum images showed multiple components for at least two of the sources, strongly supporting the strong lensing scenario. We detected with high S/N ratios two CO lines for all sources, at CO(3-2), CO(4-3) and CO(5-4) transitions; for one source, we also detected the [CI](1-0) line. We derived accurate spectroscopic redshifts $2.3 \lesssim z \lesssim 3.3$, with $1\sigma$ uncertainties $\delta z \approx 10^{-4}$ in redshift. All four sources lie well above the CO line luminosity-linewidth relation for unlensed galaxies, providing independent confirmation of their strongly lensed nature. Three sources exhibit broad (FWHM$\gtrsim 400\,{\rm km}\,{\rm s}^{-1}$), double-peaked line profiles and substantial velocity gradients, while the last one shows relatively narrow, single-peaked lines and no detectable velocity gradients, possibly indicating a nearly face-on geometry or intrinsically simple kinematics.

Figures

Figures reproduced from arXiv: 2607.19478 by the authors.

Figure 1
Figure 1. Observed 1-dimensional spectra of the NOEMA sources [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. NOEMA continuum maps of the four galaxies with 3 [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Planck-41 line analysis: CO(3–2) on the left and CO(4–3) on the right. Top panel: line profiles with derived spectroscopic [PITH_FULL_IMAGE:figures/full_fig_p008_3.png] view at source ↗
Figures from the paper (2 more)
Figure 4
Figure 4. Figure 4: PanSTARRS r-band image of the field of Planck-41. The red curve is the 3σ contour of the 2 mm continuum after sub￾traction of the central lens component (ℓ) visibilities, while the dashed white curve is the total 3σ contour of the 2 mm contin￾uum. The dotted yellow cir…
Figure 5
Figure 5. Figure 5: µL ′ CO(1−0) versus line FWHM for our four sources, com￾pared with the empirical relation of Bothwell et al. (2013) (dashed line) and its ±38% intrinsic scatter (grey band). For each source, filled and semi-transparent markers show the lower- and higher-J transitions, …

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Pith tools

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