Challenger 300 Captain reported Right Engine Vibration after takeoff. The flight crew returned to departure airport. The Engine Vibration Indication Light remained on thru landing and after engine shut down.

Narrative

Shortly after takeoff on Runway XX in ZZZ; climbing out passing approximately 2000 ft; bringing throttle quadrant out of takeoff position to climb position and then several seconds later into cruise; Crew Alert System (CAS) indication showed Right Engine Vibration. It stayed on for several seconds possibly up to 10 seconds and we asked for a level off in order to reduce power per the abnormal checklist items and monitor the instruments of which in at that time we simply requested a VFR pattern back to land on Runway XX at ZZZ airport. After retarding power and leveling off right engine vibration indication went out and upon landing the Engine Vibration for the Right Engine reappeared through the landing and stayed on once on the ground as well as after shutting off the Right Engine it still remained on with APU supplying power to the aircraft once parked. I was the Flying Pilot of which I did feel a little bit of a subtle vibration in the air until the throttle was brought back to a much lower power setting for a level flight. The First Officer reported they did feel the vibration as well. Neither of us felt vibration once on the ground most likely due to us only being an idle power. Reported engine vibration to company so the cause of vibration can be found and repaired.