Conn. Gen. Stat. § 9-387: Dispute as to endorsement of a candidate or selection of a delegate.

The state rules of each party shall prescribe the manner in which any dispute as to the endorsement by such party of a candidate for state, district or municipal office or for town committee member, or as to the selection by such party of a delegate to a convention, including conflicting claims to such endorsement or selection, shall be resolved.