Constraints on companion mass and semi-major axis for τ Ceti. The percentage of companions that can be detected by RV alone is plotted in the top row; the percentage of companions that can be detected by HCI alone is plotted in the second row (assuming the minimum, nominal, and maximum ages of the star); the combined HCI-RV constraints in the third row; and the difference between the HCI-RV combined and the RV only constraints in the fourth row. Semi-major axes corresponding to two times the projected physical separation probed by the NaCo field of view are shown. For τ Ceti, we findthat including the HCI constraints results in only up to 13% more detectable companions for masses of 10–40 M_Jup and semi-major axes of 15–25 AU.