ZTF SN Ia DR2: Environmental dependencies of stretch and luminosity of a volume limited sample of 1,000 Type Ia Supernovae

TL;DR

This study analyzes how the environment affects the standardization of Type Ia Supernovae luminosities, revealing non-linear relations and environmental dependencies that can improve distance measurements.

Contribution

It introduces a broken-$eta$ model for stretch-luminosity relation and demonstrates environment-dependent magnitude offsets using the large ZTF SN Ia DR2 sample.

Findings

Stretch distribution decreases with host stellar mass at 9.2σ significance.

The stretch-magnitude relation is non-linear, with two distinct slopes.

Environmental magnitude offsets are greater than 0.12 mag, increasing when accounting for non-linearity.

Abstract

To get distances, Type Ia Supernovae magnitudes are corrected for their correlation with lightcurve width and colour. Here we investigate how this standardisation is affected by the SN environment, with the aim to reduce scatter and improve standardisation. We first study the SN Ia stretch distribution, as well as its dependence on environment, as characterised by local and global (g-z) colour and stellar mass. We then look at the standardisation parameter $\alpha$, which accounts for the correlation between residuals and stretch, along with its environment dependence and linearity. We finally compute magnitude offsets between SNe in different astrophysical environments after colour and stretch standardisation, aka steps. This analysis is made possible due to the unprecedented statistics of the ZTF SN Ia DR2 volume-limited sample. The stretch distribution exhibits a bimodal behaviour, as previously found in literature. However, we find the distribution means to decrease with host stellar mass at a 9.2$\sigma$ significance. We demonstrate, at the 13.4$\sigma$ level, that the stretch-magnitude relation is non-linear, challenging the usual linear stretch-residuals relation. Fitting for a broken-$\alpha$ model, we indeed find two different slopes between stretch regimes ($x_1<-0.48\pm0.08$): $\alpha_{low}=0.27\pm0.01$ and $\alpha_{high}=0.08\pm0.01$, a $\Delta_{\alpha}=-0.19\pm0.01$ difference. As the relative proportion of SNe Ia in the high-/low-stretch modes evolves with redshift and environment, this implies that a linear $\alpha$ also evolves with redshift and environment. Concerning the environmental magnitude offset $\gamma$, we find it to be greater than 0.12 mag regardless of the considered environmental tracer used (local or global colour and stellar mass), all measured at the $\geq 5\sigma$ level, increased to $\sim0.17\pm0.01$ mag when accounting for the stretch-non linearity.