Percentage abundance of massive circumbinary planets with periods between 50 and 300 days, as a function of the underlying spread of planetary inclinations according to a Gaussian distribution convolved with an isotropic distribution of cos ΔI. In all cases the thick, shorter lines are limits at a 50% confidence interval and longer, thinner lines are for a 2σ confidence interval. At each value of ΔI there are two lines: BEBOP in red on the left and Armstrong et al. (2014) in blue on the right. The lower mass limit is 0.76 M_Jup, which corresponds to 10 R_⊕, assuming a Jupiter density (so we can roughly compare between our RV survey and the transit survey of Armstrong et al. 2014). The upper limit is the deuterium-burning limit of 13.5 M_Jup. The plot on the right is the same as the left but zoomed in the vertical axis, better showing how the BEBOP abundance constraints are nearly independent on the inclination.