Sexual battery as a civil claim is a tort, which is a civil wrong that one person can bring against another in court to ask for a remedy. It shares a name with a criminal offense, but the two are different things. A criminal case is brought by the government and asks whether someone should be punished. A civil claim is brought by the person who was harmed and asks whether the person or business responsible should answer for that harm.
The words "sexual assault" and "sexual battery" overlap, and people use them loosely. The federal health information service MedlinePlus explains that "sexual assault is any kind of sexual activity, contact, or experience that happens without your consent". It says this includes sexual activity with physical contact, from sexual touching to rape or attempted rape, and also unwanted sexual activity without physical contact. MedlinePlus also explains that a person cannot give consent when drugged, drunk, passed out or asleep, among other situations it lists. A civil sexual battery claim usually centers on the physical contact part of that range.
In general terms, courts weighing a civil sexual battery claim tend to look at a few things: an intentional act, sexual contact or a sexual act, the absence of consent, and harm that resulted. Those are general descriptions, not any one state's rule. Each state defines the claim in its own statutes and court decisions, so the precise elements, the defenses and the remedies differ from state to state.
For a survivor, the most important point here is independence. A civil claim generally can proceed whether or not criminal charges are ever filed, and whether or not a criminal case ends in a conviction. If you are waiting on a police investigation, or decided not to report, that does not by itself close the civil path. A conversation with an attorney can help sort out how your state defines the claim and how those elements line up with what happened.