49 C.F.R. § 1108.26
(b) Party-appointed arbitrators. Within two business days of filing the Joint Notice of Intent to Arbitrate, each side shall select one arbitrator as its party-appointed arbitrator and notify the opposing side of its selection.
(1) For-cause objection to party-appointed arbitrator. Each side may object to the other side's selected arbitrator within two business days and only for cause. A party may make a for-cause objection where it has reason to believe a proposed arbitrator cannot act with the good faith, impartiality, and independence required of 49 U.S.C. 11708, including due to a conflict of interest, adverse business dealings with the objecting party, or actual or perceived bias or animosity toward the objecting party.
(e) Arbitrator incapacitation. If at any time during the arbitration process an arbitrator becomes incapacitated or is unwilling or unable to fulfill his or her duties, a replacement arbitrator shall be promptly selected by the following process: