I've worked with stone for 15 years. Is it possible to face polish black absolute? To get a machine polish, it is hard enough to do in the shop, but to do it on the job site would be a pain but not impossible. use alpha polishing disc, not velcro backed pads, I've had luck with there twistouch turbo polishing disk and some polishing powder, something with tin oxide or aluminum oxide, with a black buffing head also you may have to use an enhancer to help darken. after all this you may get the polish to match or you may not. I would consider replacing the top and talking with the person responsible for breaking it.