Ariz. Rev. Stat. § 38-762
A. On the death of any active or inactive member before retirement, the designated beneficiary of the member shall be paid a survivor benefit equal to the sum of both of the following:
E. If a deceased member did not designate a beneficiary or the beneficiary named by a member predeceases the member, ASRS shall pay the member's survivor benefit to the following persons in the following order of priority: