Unveiling the Effects of Coupling Extended Proca-Nuevo Gravity on Cosmic Expansion with Recent Observations

Abstract: We study Coupling Extended Proca-Nuevo gravity, a non-linear theory extending from dRGT massive gravity with a spin-1 field. This theory is shown to yield reliable, ghost-free cosmological solutions, modeling both the Universe's thermal history and late-time acceleration. By analyzing data from Dark energy spectroscopic instruments (DESI), Cosmic Chronometer (CCh), Gamma Ray Bursts (GRBs), and Type Ia Supernova (SNeIa), we derive parameter constraints with up to 3$\sigma$ confidence, demonstrating good agreement with observations. Our comparison of $BAO$ data from $WiggleZ$ and $DESI$ highlights its constraining power on the Hubble constant. The analysis of the cosmographic parameter, $q$ shows the statistical compatibility with the recent data. Further, this indicates that Universe's current accelerated expansion aligns with quintessential behavior.