agree with @fuzztone - it's likely related to cable and those products address those problems quickly if the cable ground is the root cause.
If for some reason that doesn't work it means that your new amp is interacting poorly with another component connected to it and sharing the same ground. I just went through this with a SET amp I acquired. Turned out the interaction was with my preamp. I diagnosed the problem and ultimately resolved the problem using a Hum X to float the ground on the preamp.
Besides floating the ground on the preamp I found that I needed to make sure my DAC wasn't sharing the same power strip/conditioner with the amp because my single ended ICs connecting the DAC to the preamp enabled the ground loop to remain intact. Yes, it took several hours to track this issue down.
Also I don't think it's a good idea to float the ground on the amp or use a Hum X -type device directly on the amp (even though it will remove the hum). The Hum X is only safe up to 6A draw and many amps can spike above that. My 48W SET amp was drawing 4.5A at idle for example. It's better to float the ground on the low draw component that's cause the poor amp interaction. In my case my VAC preamp only draws 0.5A according to my measurements. You certainly don't want to create a safety hazard while addressing the ground loop/
If for some reason that doesn't work it means that your new amp is interacting poorly with another component connected to it and sharing the same ground. I just went through this with a SET amp I acquired. Turned out the interaction was with my preamp. I diagnosed the problem and ultimately resolved the problem using a Hum X to float the ground on the preamp.
Besides floating the ground on the preamp I found that I needed to make sure my DAC wasn't sharing the same power strip/conditioner with the amp because my single ended ICs connecting the DAC to the preamp enabled the ground loop to remain intact. Yes, it took several hours to track this issue down.
Also I don't think it's a good idea to float the ground on the amp or use a Hum X -type device directly on the amp (even though it will remove the hum). The Hum X is only safe up to 6A draw and many amps can spike above that. My 48W SET amp was drawing 4.5A at idle for example. It's better to float the ground on the low draw component that's cause the poor amp interaction. In my case my VAC preamp only draws 0.5A according to my measurements. You certainly don't want to create a safety hazard while addressing the ground loop/