Companion Shocking Fits to the 2018 ZTF Sample of SNe Ia Are Consistent with Single-Degenerate Progenitor Systems

The early lightcurves of Type Ia supernovae (SNe Ia) can be used to test predictions about their progenitor systems. If the progenitor system consists of a single white dwarf in a binary with a Roche-lobe-overflowing non-degenerate stellar companion, then the SN ejecta should collide with that companion soon after the explosion and get shock-heated, leaving an early UV excess in the lightcurve. This excess would only be observable for events with favorable viewing angles, $\sim$10\% of the time. We model the 2018 ZTF sample of 127 SNe Ia using companion shocking models, and recover an observed early excess rate of $12.0\pm3.6\%$, consistent both with several other rates calculated throughout the literature, and with the expectation that SNe Ia predominantly occur in single-degenerate systems. We observe early excesses only in spectroscopically normal SNe Ia, in contradiction to the claim that such excesses occur more frequently in overluminous SNe Ia. We also show that the detection of early excesses can be methodology-dependent. We encourage the observation of large samples of SNe Ia with high-cadence multiwavelength early data in order to test the statistical predictions of SN Ia progenitor models, and we also encourage the refinement of existing models.