Conn. Gen. Stat.S 46b-38b (b)
(b) When complaints of family violence are made by two or more opposing persons, a peace officer is not required to arrest both persons. The peace officer shall evaluate each complaint separately to determine which person is the dominant aggressor. In determining which person is the dominant aggressor, the peace officer shall consider the need to protect victims of domestic violence, whether one person acted in defense of self or a third person, the relative degree of any injury, any threats creating fear of physical injury, and any history of family violence between such persons, if such history can reasonably be obtained by the peace officer. The peace officer shall arrest the person whom the officer believes to be the dominant aggressor.