That's easy pal. Renaming an existing branch in git repository is easy and simple. This method applies to renaming a branch in your local repository. Changes will reflect in the remote repository after you make a push.
If you are in the branch that you need to rename
git branch -m <new_branch_name>
If you are not in the branch that you need to rename
git branch -m <branch_you_want_to_rename> <new_name>
git is awesome! :)