Accurate PSF-matched photometry and photometric redshifts for the Extreme Deep Field with the Chebyshev-Fourier functions
Y. Jim\'enez-Teja (1,2), N. Ben\'itez (2), A. Molino (2,3), C. A. C., Fernandes (1) ((1) Observat\'orio Nacional, Rio de Janeiro, Brazil, (2), Instituto de Astrof\'isica de Andaluc\'ia (CSIC), Granada, Spain, (3), Instituto de Astronomia, Geof\'isica e Ci\^encias Atmosf\'ericas,

TL;DR
This paper introduces a PSF-independent photometry method using Chebyshev-Fourier functions, enabling accurate multicolor galaxy measurements crucial for photometric redshifts in deep astronomical surveys.
Contribution
The novel CHEFs technique allows for PSF-agnostic, high-precision galaxy photometry, improving redshift estimates without detailed PSF modeling.
Findings
Achieved 2% photometric redshift precision in the Extreme Deep Field.
Produced a catalog of 35,732 sources with high S/N.
Demonstrated superior performance compared to traditional methods.
Abstract
Photometric redshifts, which have become the cornerstone of several of the largest astronomical surveys like PanStarrs, DES, J-PAS or the LSST, require precise measurements of galaxy photometry in different bands using a consistent physical aperture. This is not trivial, due to the variation in the shape and width of the Point Spread Function (PSF) introduced by wavelength differences, instrument positions and atmospheric conditions. Current methods to correct for this effect rely on a detailed knowledge of the PSF characteristics as a function of the survey coordinates, which can be difficult due to the relative paucity of stars tracking the PSF behaviour. Here we show that it is possible to measure accurate, consistent multicolour photometry without knowing the shape of PSF. The Chebyshev-Fourier Functions (CHEFs) can fit the observed profile of each object and produce high…
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