My copper pipe has a leak right at the basement slab surface
You can solder a copper repair coupler over the hole. It's basically just like a sleeve. You don't have to cut the pipe near the concrete. 

Sand and flux the bottom inch of the copper pipe above the concrete. Cut off the copper pipe maybe 1 foot higher than the concrete, and drop a copper repair coupler that doesn't have an internal stop onto the pipe and slide it down to the top of the concrete. 

Next shorten the copper pipe enough to add a second copper coupler that does have internal stops. Sand and flux the pipe. Add the coupler, solder both couplers at the same time. 

The first coupler seals the leak, and the second coupler is needed to repair the pipe after cutting it. 

Make sure to sand and flux the inside of the couplers too.