We present results of deep direct imaging of the radial velocity ( RV ) planet-host star 14 Her ( =GJ 614 , HD 145675 ) , obtained in the L ^ { \prime } band with the Clio-2 camera and the MMT adaptive optics system .
This star has one confirmed planet and an unconfirmed outer companion , suggested by residuals in the RV data .
The orbital parameters of the unconfirmed object are not well constrained since many mass/semimajor axis configurations can fit the available data .
The star has been directly imaged several times , but none of the campaigns has ruled out sub-stellar companions .
With \sim 2.5 hrs of integration , we rule out at 5 \sigma confidence \gtrsim 18 M _ { J } companions beyond \sim 25 AU , based on the ( 1 ) COND mass-luminosity models .
Combining our detection limits with fits to the RV data and analytic dynamical analysis , we constrain the orbital parameters of 14 Her c to be : 3 \lesssim m / M _ { J } \lesssim 42 , 7 \lesssim a / AU \lesssim 25 , and e \lesssim 0.5 .
A wealth of information can be obtained from RV/direct imaging overlap , especially with deep imaging as this work shows .
The collaboration between RV and direct imaging will become more important in the coming years as the phase space probed by each technique converges .
Future studies involving RV/imaging overlap should be sure to consider the effects of a potential planet ’ s projected separation , as quoting limits assuming face-on orientation will be misleading .