Ah Ground loops, the joy they bring (NOT!).
So just to throw a couple of ideas into the mix, since I do not know the specifics:
Ground loop noise is a result of current flow through a loop, where the current is usually induced by a magnetic field (there can be instances where the current is from say a ground return on a power supply, or even decoupling capacitors, shunting supply noise to ground, this is when we look at star earthing things) .
As we are usually dealing with signal voltages, the ground loop noise between two ends of a cable (for example) is I x R (Current times resistance, when talking about noise from RF sources, than this would be current times impedance).
So, to reduce this noise, we want to reduce either I or R.
If we break the loop, we reduce I to zero, so no voltage drop between different parts of the signal ground.
But, the Gotcha here is, that much like an open transformer winding we end up with entire voltage across the open gap. Of course if this is in the power supply, or back where we don't have any signal paths, then that would not be a problem.
The other alternative is to reduce R as much as possible, so this is where we connect a heavy duty Bus bar between the grounds on two pieces of interconnected equipment