Bullies nor any other troublemakers do not get expelled anymore. If your child is targeted, remove them from the school immediately. Your child is not special to the state school.
Teach your kids hand to hand combat as well.
I raised my two sons alone. They are in their 50's now, and thankfully, never had an issue with being bullied. But if either one of them had, I would have been a screaming me-me at the school the next day, and the day after that if nothing had been done about it. I worked in NY State's prison system for 25 years, and would not have put up with that crap from a convict, let alone allow it to happen to my kids at school. I had a young mother living in the apartment next door. She took it upon herself to buy a beer keg for my underage son and his friends, and the day after I dragged his drunk ass out of a ramshackle hut in the woods, and I'd found out who had bought the keg, I went to her apartment, chewed her a new asshole, then turned her into the cops. And when that same son, at an even younger age, tried to shoplift something from the local drugstore, and the manager called me about it, I told him to call the cops. He didn't want to do it, but I told him if he didn't, I would, and so my son was finger-printed, and went through the whole rigamarole of Family Court. When I took the job in Corrections in 1980, I told my sons then, that if they ever got themselves arrested, and were sent to jail or prison, not to expect me to come visit them...ever. During my career, I saw too many mothers who would spend a weekend, sitting on a bus for hours, coming up from New York City, just to visit their convict son in prison, and in most cases, the first thing out of the son's mouth wouldn't be "Hi Mom...it's nice to see you," but "Hey, what did you bring me?" It made me sick.
Teach your kid to fight!
After I beat the crap out of a would-be bully, he left me alone!