28 U.S.C. § 359

1. (a)No judge whose conduct is the subject of an investigation under this chapter shall serve upon a special committee appointed under section 353, upon a judicial council, upon the Judicial Conference, or upon the standing committee established under section 331, until all proceedings under this chapter relating to such investigation have been finally terminated.
2. (b)No person shall be granted the right to intervene or to appear as amicus curiae in any proceeding before a judicial council or the Judicial Conference under this chapter.