Euclid Quick Data Release (Q1). Near-infrared processing and data products

This paper describes the NIR PF that processes NIR images from the NISP instrument on board the Euclid satellite. NIR PF consists of three main components: (i) a common pre-processing stage for both photometric (NIR) and spectroscopic (SIR) data to remove instrumental effects; (ii) astrometric and photometric calibration of NIR data, along with catalogue extraction; and (iii) resampling and stacking. The necessary calibration products are generated using dedicated pipelines that process observations from both the early PV phase in 2023 and the nominal survey operations. After outlining the pipelineś structure and algorithms, we describe its application to Euclid Q1 images. For Q1, we achieved an astrometric accuracy of 9--15,mas, a relative photometric accuracy of 5,mmag, along with an absolute flux calibration limited by the 1% uncertainty of the HST CALSPEC database. We characterised the PSF which we found to be very stable across the focal plane. Finally, we discuss current limitations of NIR PF that will be improved upon for future data releases.