J/A+A/709/A120 z~1 star-forming galaxies Tully-Fisher relation (Jeanneau+, 2026) ================================================================================ MUSE-DARK. II. 3D morpho-kinematic modelling of strongly lensed galaxies: I. Tully-Fisher relation of z ~ 1 star-forming galaxies. Jeanneau A., Richard J., Bouche N.F., Krajnovic D., Ciocan B.-I., Freundlich J., Epinat B., Contini T. =2026A&A...709A.120J (SIMBAD/NED BibCode) ================================================================================ ADC_Keywords: Galaxy catalogs ; Galaxies, rotation ; Models ; Gravitational lensing Keywords: gravitational lensing: strong - methods: data analysis - galaxies: evolution - galaxies: formation - galaxies: high-redshift - galaxies: kinematics and dynamics Abstract: Extending local kinematic studies to earlier cosmic times is valuable to understand how galaxies evolve in relation to their dark matter haloes. In a series of papers on lensed kinematics, we seek to combine the sensitivity of 3D forward modelling to low signal-to-noise ratio outskirts with the enhanced spatial resolution provided by cluster lensing. In this first paper, we (i) present and validate our methodology, which directly constrains the source parameters by incorporating lensing deflections into the GalPaK3D forward-modelling algorithm, and (ii) investigate the evolution of the stellar-mass and baryonic-mass Tully-Fisher relations (sTFR and bTFR) since z~1 as a demonstration. We define a robust sample of strongly lensed star-forming galaxies (SFGs) from the MUSE Lensing Cluster survey, spanning magnifications mu=1.4-12.4 and stellar masses M*=10^8.1^-10^10.3^M__{sun}_. Using a series of mock galaxies representative of our sample, we find that our method is significantly more reliable at recovering morpho-kinematic properties than approaches that ignore differential magnification, even for relatively modest magnifications (mu<6). Restricting the analysis to 95 rotationally supported SFGs with well-constrained velocities, we find a significant evolution of the sTFR zero-point ({Delta}b^sTFR^=-0.42^+0.05^_-0.05_dex in stellar mass) but no detectable evolution of the bTFR zero-point ({Delta}b^bTFR^=0.00^+0.06^_-0.06_dex in baryonic mass) relative to z~0. Our results are consistent with a mild evolution of the stellar-to-halo mass ratio and support the view that the sTFR has evolved only weakly over the past ~8Gyr, aside from shifts driven by the redshift dependence of halo-defining quantities such as the critical density and overdensity. The absence of detectable evolution in the bTFR zero-point suggests that the increasing contribution of cold gas mass at higher redshift fully compensates the evolution observed in the stellar component alone. Description: Catalog used in the paper. File Summary: -------------------------------------------------------------------------------- FileName Lrecl Records Explanations -------------------------------------------------------------------------------- ReadMe 80 . This file catalog.dat 308 95 Catalog (table E1) -------------------------------------------------------------------------------- See also: J/ApJS/235/14 : HFF-DeepSpace photometric cat. of 12 HFF fields (Shipley+, 2018) J/A+A/646/A83 : 12 massive lensing clusters MUSE observations (Richard+, 2021) Byte-by-byte Description of file: catalog.dat -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 10 A10 --- Cluster Name of the lensing cluster (CLUSTER) (1) 12- 16 I5 --- IdR21 Source ID from the MUSE Atlas of Lensing Clusters (Richard et al., 2021A&A...646A..83R, Cat. J/A+A/646/A83) (ID_R21) 18- 72 A55 --- IdHFFDS Source ID from the HFF-DeepSpace catalogue (Shipley et al., 2018ApJS..235...14S, Cat. J/ApJS/235/14) (ID_HFFDS) 74- 83 F10.6 deg RAdeg Right ascension (J2000) of the morphological centre (RA) 85- 94 F10.6 deg DEdeg Declination (J2000) of the morphological centre (DEC) 96-103 F8.6 --- zR21 Systemic redshift from the MUSE Atlas of Lensing Clusters (Z_R21) 105-113 F9.6 --- muR21 Lensing magnification from the MUSE Atlas of Lensing Clusters (MU_R21) 115-123 F9.6 --- S/NMax S/N of the brightest [OII] spaxel (S/N_MAX) 125-132 F8.6 arcsec RPSF MUSE PSF radius (R_PSF) 134-141 F8.6 arcsec Reff Effective radius from a single-Sersic fit to the F160W flux (EFF_RADIUS) 143-151 F9.6 deg Incl Inclination from a single-Sersic fit to the F160W flux (INCLINATION) 153-162 E10.5 --- FB/T Bulge-to-total flux ratio in the F160W band (B/T_FLUX) 164-172 F9.6 [Msun] b_logM* 16th percentile of the log10 stellar mass posterior (LOG_MSTAR_16) 174-182 F9.6 [Msun] logM* Median of the log10 stellar mass posterior (LOG_MSTAR_MED) (2) 184-192 F9.6 [Msun] B_logM* 84th percentile of the log10 stellar mass posterior (LOG_MSTAR_84) 194-203 E10.5 [Msun/yr] b_logSFR 16th percentile of the log10 star formation rate posterior (LOG_SFR_16) 205-213 F9.6 [Msun/yr] logSFR Median of the log10 star formation rate posterior (LOG_SFR_MED) (2) 215-223 F9.6 [Msun/yr] B_logSFR 84th percentile of the log10 star formation rate posterior (LOG_SFR_84) 225-233 F9.6 [Msun] logMHI log10 atomic gas mass (including Helium) inferred from scaling relations (LOG_MHI) 235-243 F9.6 [Msun] logMMol log10 molecular gas mass inferred from scaling relations (LOG_MMOL) 245-253 F9.6 [Msun] logMBar log10 total baryonic mass (LOG_MBAR) 255-262 F8.6 [km/s] logV1.8 Median of the log10 circular velocity posterior at 1.8 Re (GalPaK3D + Lensing) (LOG_V1.8_MED) 264-271 F8.6 [km/s] s_logV1.8 Standard deviation of the log10 circular velocity posterior at 1.8 Re (GalPaK3D + Lensing) (LOG_V1.8_STD) 273-280 F8.6 [km/s] logV2.0 Median of the log10 circular velocity posterior at 2.0 Re (GalPaK3D + Lensing) (LOG_V2.0_MED) 282-289 F8.6 [km/s] s_logV2.0 Standard deviation of the log10 circular velocity posterior at 2.0 Re (GalPaK3D + Lensing) (LOG_V2.0_STD) 291-299 F9.6 km/s sigma0 Median of the log10 velocity dispersion posterior (GalPaK3D + Lensing) (SIG0_MED) 301-308 F8.6 km/s s_sigma0 Standard deviation of the log10 velocity dispersion posterior (GalPaK3D + Lensing) (SIG0_STD) -------------------------------------------------------------------------------- Note (1): The MACS0416 North (N) and South (S) pointings have been analysed separately. Note (2): Stellar masses and star formation rates have been converted to the Chabrier (2003PASP..115..763C) initial mass function. -------------------------------------------------------------------------------- Acknowledgements: From Alexandre Jeanneau, alexandre.jeanneau(at)univ-lyon1.fr This work utilises gravitational lensing models produced by PIs Natarajan & Kneib (CATS), Sharon, Keeton, Diego, and the GLAFIC group. This lens modeling was partially funded by the HST Frontier Fields program conducted by STScI. STScI is operated by the Association of Universities for Research in Astronomy, Inc. under NASA contract NAS 5-26555. The lens models were obtained from the Mikulski Archive for Space Telescopes (MAST). Beyond those already cited, this work makes use of the following open-source Python libraries: Astropy, NumPy, matplotlib, MPDAF, SciPy, and corner. NB and BC acknowledge support from the ANR DARK grant (ANR-22-CE31-0006). References: Ciocan et al. Paper I 2026A&A...708A.112C License: CC-BY-4.0 ================================================================================ (End) Patricia Vannier [CDS] 30-Mar-2026