I would trap it and move it to a new location - several miles away.
We had this same problem. You have to trap the groundhogs with special cages. Set the traps up where they are coming in and out...usually under a shed or porch like where we had a problem. Set the traps up with a couple of things they like to eat- cantaloupe, apple. Transport them after being caught.
As others have said, the best and most humane way is to trap and release. Wishing you the best.
Many thanks to all, will give it a try.