TDCOSMO XXIV. First spatially resolved kinematics of the lens galaxy obtained using JWST-NIRSpec to improve time-delay cosmography
Anowar J. Shajib, Tommaso Treu, Sherry H. Suyu, David Law, Ak{\i}n Y{\i}ld{\i}r{\i}m, Michele Cappellari, Aymeric Galan, Shawn Knabel, Han Wang, Simon Birrer, Fr\'ed\'eric Courbin, Christopher D. Fassnacht, Joshua A. Frieman, Alejandra Melo, Takahiro Morishita, Pritom Mozumdar

TL;DR
This paper presents the first spatially resolved stellar kinematics of a lens galaxy using JWST-NIRSpec, enhancing time-delay cosmography by improving data analysis methods and providing new insights into the Hubble constant.
Contribution
First measurement of 2D resolved stellar kinematics of a lens galaxy with JWST, introducing improved data reduction and kinematic extraction methods, and releasing software pipelines for future research.
Findings
Kinematic measurements are consistent with ground-based data within 1.1σ.
Methodological improvements enable robust deblending of galaxy and quasar spectra.
Software pipelines 'squirrel' and 'RegalJumper' are released for community use.
Abstract
Spatially resolved stellar kinematics has become a key ingredient in time-delay cosmography to break the mass-sheet degeneracy in the mass profile and in turn provide a precise constraint on the Hubble constant and other cosmological parameters. In this paper, we present the first measurements of 2D resolved stellar kinematics for the lens galaxy in the quadruply lensed quasar system RXJ11311231 using integral field spectroscopy from JWST's Near-Infrared Spectrograph (NIRSpec), marking the first such measurement conducted with JWST. In extracting robust kinematic measurements from this first-of-its-kind dataset, we have made methodological improvements both in the data reduction and kinematic extraction. In our kinematic extraction procedure, we performed joint modeling of the lens galaxy, the quasar, and its host galaxy's contributions in the spectra to deblend the lens galaxy…
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