Long period modulation of the classical T Tauri star CI Tau: evidence for an eccentric close-in massive planet at 0.17 au

Detecting planets within protoplanetary disks around young stars is essential for understanding planet formation and evolution. However, planet detection using the radial velocity method faces challenges due to strong stellar activity in these early stages. We aim to detect long-term periodicities in photometric and spectroscopic time series of the classical T Tauri star (CTTS) CI Tau, and retrieve evidence for inner embedded planets in its disk. The study conducted photometric and spectroscopic analyses using K2 and Las Cumbres Observatory Global Network light curves, and high-resolution spectra from ESPaDOnS and SPIRou. We focus our radial velocity analysis on a wavelength domain less affected by spot activity. To account for spot effects, a quasi-periodic Gaussian process model was applied to K2 light curve, ESPaDOnS, and SPIRou radial velocity data. Additionally, a detailed bisector analysis on cross-correlation functions was carried out to understand the cause of long-term periodicity. We detect coherent periods at $\sim$ 6.6 d, 9 d, $\sim$ 11.5 d, $\sim$ 14.2 d and $\sim$ 25.2 d, the latter is seen consistently across all datasets. Bisector analysis of the cross-correlation functions provides strong hints for combined activity-induced and Doppler reflex signal in the radial velocities at a period of 25.2 d. Our analysis suggests that this periodicity is best explained by the presence of a 3.6$\pm$0.3 M$_{Jup}$, eccentric (e$\sim$0.58) planet at a semi-major axis of 0.17 au. Our study outlines the difficulty of searching for disk-embedded planets in the inner 0.1 au's of young and active systems. We demonstrate that, when searching for planets in actively accreting stars such as CI Tau, the primary limitation is stellar activity rather than the precision of RV measurements provided by the instrument.