The first unbiased survey of high-frequency-peaked BL Lac objects with VERITAS

High-frequency-peaked BL Lacertae objects (HBLs) dominate the extragalactic sky at energies above 0.1 TeV, with more than 50 detected by ground-based gamma-ray observatories. HBLs are often observed and reported on more frequently during high-flux states, which biases our understanding of their properties and duty cycles. The VERITAS observatory has now concluded an observing campaign on 36 X-ray-selected HBLs in order to produce the first unbiased TeV survey of HBLs. The VERITAS HBL sample includes 21 known TeV emitters, as well as 15 blazars which had not been detected at TeV energies at the time of source selection (three of which have since been detected by VERITAS). In total, 13 HBLs are detected in the unbiased survey, including the first TeV detection of RBS 1366. Additionally, we find that 11 sources which have previously been detected at TeV energies during flares are not detectable when only unbiased observations are considered. The full results of this survey, including the first estimate of the logN-logS distribution of TeV fluxes from HBLs, will be presented in this contribution, along with implications for deriving the TeV luminosity function for HBLs, which is a key step in modeling the population of TeV blazars across cosmic time.