Tensions between Bradley International Airport and its smaller-but-ambitious competitor, Tweed New Haven, are reflected in a burgeoning turf battle over whether the airport authority that operates Bradley has the power to license Tweed. Kevin A. Dillon, the executive director of the Connecticut Airport Authority, is pressing Tweed to submit to its licensing authority as Tweed awaits federal approval of plans to lengthen its runway and build a new terminal in East Haven. The Tweed New Haven Airport Authority has refused to complete the form necessary to renew a license that expired in March 2022, saying under federal law it answers to the Federal Aviation Administration, not the CAA. Dillon said there are no obstacles to Tweed’s licensure other than its refusal to complete the paperwork.