You can't technically, but if they do so without probable cause then they stand to get smacked down in court and pay heavy fines to the person they falsely arrest.
This will still be a very unpleasant time for you, with more consequences down the line (you might miss work, for example). And if the officer can convince the judge that they truly thought arresting you was reasonable, you won't get much in the way of compensation, either. Lastly, the fines don't get paid by the officer themself, so even if it is a full smack down, it won't hurt too much.
The answer involves a lawyer, a lot of time, a lot of money, and low expectations.