So after doing some digging it turns out that even the authors of the papers admit it is a somewhat shaky proposal. Basically they assumed that something called the action, a quantity in physics usually taken to be real, maybe had an imaginary part and then played around with it a bit and assumed it would have a strong effect on a scalar field (such as the Higgs). They found the imaginary part of the action had a strong dampening effect on actions even if they were minima (which are the usual ones we work with). Basically from what I have read/gathered this imaginary part appears in the form of non-local effects in space-time by forcing a consideration upon an entire trajectory through time not just what is local. So basically it would imply the universe as a whole could be on a trajectory where the Higgs just couldn't be created due to the dampening effects of the imaginary part of the action. No backwards propagating signals or anything...just the way the universe is.
Of course the whole thing is pretty shaky (invoking at least two 'tooth faries') but it is fun nonetheless.