Conn. Gen. Stat. § 45a-153: (Formerly Sec. 45-232). Submission of claims to arbitration.

(a) An executor, administrator, conservator, guardian or trustee appointed, or whose appointment has been approved, by a Probate Court, may apply in writing to the Probate Court having jurisdiction of his or her trust for an order authorizing the applicant to submit the matter in controversy to the arbitration of persons who are mutually agreed upon by the applicant and the other party to any matter in controversy which is described in this subsection or subsection (b) of this section, if: (1) The applicant has any claim in the applicant's capacity as such fiduciary, or on behalf of the interest which he or she represents, against any person or to any property; or (2) any person has any claim against or to any property which is in the applicant's control in the applicant's capacity as such fiduciary.

(b) The court may authorize the submission to arbitration following a hearing of which notice has been given to the parties in interest as ordered by the court.