International investment banking company Citigroup Global Markets Inc. “must now live with the results” of a wrongful termination claim after the U.S. Court of Appeals for the Eleventh Circuit refused to vacate a $3.4 million arbitration award against it over the firing of an allegedly abusive employee in Miami.

The case is a reminder of what little wriggle room courts have when reviewing arbitration awards, as judges can only decide whether arbitrators had the power to reach a certain conclusion — not whether that conclusion was actually correct.