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Nearby stars are prime targets for exoplanet searches and characterizationusing a variety of detection techniques. Combining constraints from thecomplementary detection methods of high contrast imaging (HCI) and radialvelocity (RV) can further constrain the planetary architectures of thesesystems because these methods place limits at different regions of thecompanion mass and semi-major axis parameter space. We aim to constrain theplanetary architectures from the combination of HCI and RV data for 6 nearbystars within 6 pc: $\tau$ Ceti, Kapteyn's star, AX Mic, 40 Eri, HD 36395, andHD 42581. We compiled the sample from stars with available archival VLT/NACOHCI data at L$^{\prime}$ band (3.8 $\mu$m). The NACO data were fully reanalyzedusing the state-of-the-art direct imaging pipeline PynPoint and combined withRV data from HARPS, Keck/HIRES, and CORALIE. A Monte Carlo approach was used toassess the completeness in the companion mass/semi-major axis parameter spacefrom the combination of the HCI and RV data sets. We find that the HCI data addsignificant information to the RV constraints, increasing the completeness forcertain companions masses/semi-major axes by up to 68 - 99% for 4 of the 6stars in our sample, and by up to 1 - 13% for the remaining stars. Theimprovements are strongest for intermediate semi-major axes (15 - 40 AU),corresponding to the semi-major axes of the ice giants in our own solar system.The HCI mass limits reach 5 - 20 $M_{\textrm{Jup}}$ in the background-limitedregime, depending on the age of the star. Through the combination of HCI and RVdata, we find that stringent constraints can be placed on the possiblesubstellar companions in these systems. Applying these methods systematicallyto nearby stars will quantify our current knowledge of the planet population inthe solar neighborhood and inform future observations.

Combining high contrast imaging and radial velocities to constrain the planetary architecture of nearby stars