California Code, Code of Civil Procedure - CCP § 1287

If the award is vacated, the court may order a rehearing before new arbitrators.  If the award is vacated on the grounds set forth in paragraph (4) or (5) of subdivision (a) of Section 1286.2, the court with the consent of the parties to the court proceeding may order a rehearing before the original arbitrators.

If the arbitration agreement requires that the award be made within a specified period of time, the rehearing may nevertheless be held and the award made within an equal period of time beginning with the date of the order for rehearing but only if the court determines that the purpose of the time limit agreed upon by the parties to the arbitration agreement will not be frustrated by the application of this provision.