Utah Code Ann. § 20A-1-501
(1) The state central committee of a political party, for candidates for United States senator, United States representative, governor, lieutenant governor, attorney general, state treasurer, and state auditor, and for legislative candidates whose legislative districts encompass more than one county, and the county central committee of a political party, for all other party candidates seeking an office elected at a regular general election, may certify the name of another candidate to the appropriate election officer if:
(a) for a registered political party that will have a candidate on a ballot in a primary election, after the close of the period for filing a declaration of candidacy and continuing through the day before the day on which the lieutenant governor makes the certification described in Subsection 20A-9-403(2)(c):
(ii) one or both:
(b) for a registered political party that does not have a candidate on the ballot in a primary, but that will have a candidate on the ballot for a general election, after the close of the period for filing a declaration of candidacy and continuing through the day before the day on which the lieutenant governor makes the certification described in Section 20A-5-409, the party's candidate:
(c) for a registered political party with a candidate certified as winning a primary election, after the deadline described in Subsection (1)(a) and continuing through the day before that day on which the lieutenant governor makes the certification described in Section 20A-5-409, the party's candidate:
(4)