Conn. Gen. Stat. § 7-281: Execution of criminal process in towns, cities and boroughs. Execution of arrest warrants.

Active members of any legally organized police force in a town, city or borough shall have the same authority to execute criminal process in their respective towns, cities or boroughs as constables have in their respective towns, and, in addition, any such member having a warrant of arrest arising out of an offense allegedly committed in the town, city or borough in which such police force is located may execute such warrant in any part of the state.