Dieting can be tricky. Working out is the key to success in maintaining your metabolism at a steady pace. Upon researching your question I was able to find a couple links that will inform you on metabolism before and after dieting. I attached the links below. I hope you find these links useful.
Working out regularly raises your base metabolism so it's higher all the time. I'm not exactly sure what specifically you are looking for. I've linked you to one article from the National Institutes of Health below.