Statistical Validation and Photometric Characterization of the Hot Jupiter Candidate TOI 7475.01

We present the statistical validation and full photometric characterization of the exoplanet candidate TOI 7475.01 (TIC 376866659), detected by the TESS mission. Using a custom pipeline combining natural flux preservation with robust BLS detection, we identified a transit signal with a period of $3.2538$ days and a depth of $\sim 4600$ ppm. To rule out false positives, we performed centroid analysis, spatial contamination checks using Gaia DR3, and a statistical validation using TRICERATOPS. Our results show a Signal-to-Noise Ratio (SNR) of 294.13 and a False Positive Probability (FPP) of $\approx 0$. Based on the clean spatial environment, stable centroids, and high statistical probability, we validate TOI 7475.01 as a planetary companion. We subsequently performed a Bayesian transit fit using juliet with Dynesty nested sampling, and derived physical parameters via Monte Carlo error propagation. We find a planetary radius of $R_p = 1.18^{+0.39}_{-0.40}\ R_\mathrm{Jup}$ and an equilibrium temperature of $T_\mathrm{eq} = 1455^{+77}_{-56}$ K, consistent with a hot Jupiter classification. The planet mass is estimated at $M_p \approx 2.2\ M_\mathrm{Jup}$ (MAP) via the Chen&Kipping mass-radius relation; radial velocity follow-up is required for a precise measurement. The impact parameter remains unconstrained ($b = 0.46 \pm 0.34$), a limitation of single-band TESS photometry that future CHEOPS observations could resolve.