Always start with all relevant data. So you have Rigol DS2072A, but what diff probe you have?
What kind of noise? What is amplitude, did you try to FFT it to see if it white noise or some signals?
HV diff probes are active devices, that have input attenuator (resistors make noise) that first make signal smaller than it is, and then it uses amplifier (more noise) to amplify two signals (for each probe end), subtract them (to calculate difference between them) and send it to scope.
Because of that, it will make noise on it's own. How much is normal, depends on probe.
So to make this efficient you need to:
- report exact probe model and type
- take a snapshot or two of scope screen showing data in question, with explanation of setup.
- Put all the data in one post so it's easy to analyze situation.
Otherwise, there will be many words and very little useful ones..