Piece of cake.......
Well, not exactly, but this is not a tragedy.I hope you have some room to work because this will require some reasonable mechanical access to the broken stub.First, start soaking the broken bolt with a product called "PB Blaster". It is a lubricant designed to free frozen bolts. In my experience it is the very best of any type of chemical I have used for this purpose. It is available at most auto supply stores- about $4.If you had used this stuff before trying to remove the bolts, it is likely that you would not be in this predicament. But that is 20-20 hindsight.....Next, get yourself a stud extractor tool. I bought one from Snap-On, but I have seen them elsewhere. Sears may have one too. It is a circular device with two different sized holes for different ranges of bolt sizes. It requires only 1/2" of a bolt or stud to grab onto. You simply put the extractor over the broken stub and turn it with your wrench and broken stub will un-screw.Be sure to soak the stub with lots of PB Blaster. I would give several days of treatment before attempting removal. If the stub breaks again, you are facing a process of drilling out and cleaning the threads with a tap. If this becomes necessary, you may need to remove the head and work on it on a bench.I have had very good luck with this remover and PB Blaster. I have removed numerous broken studs from manifolds, boilers, and equipment that is rusty and corroded.If you need a picture of the stud remover, reply and I will post one.Good luck.