# R-band light-curve properties of Type Ia supernovae from the (intermediate) Palomar Transient Factory

## TL;DR

This study analyzes 265 R-band light curves of Type Ia supernovae from the Palomar Transient Factory, creating a model-independent template, examining diversity, and estimating key properties like rise time and brightness with implications for future surveys.

## Contribution

The paper provides a comprehensive, model-independent analysis of Type Ia supernova R-band light curves, including a new template and insights into their diversity and observational biases.

## Key findings

- Average rise time in R band is 16.8 days.
- Estimated mean corrected peak brightness is -19.02 mag.
- Malmquist bias becomes significant at z=0.13.

## Abstract

We present the best 265 sampled R-band light curves of spectroscopically identified Type Ia supernovae (SNe) from the Palomar Transient Factory (PTF; 2009-2012) survey and the intermediate Palomar Transient Factory (iPTF; 2013-2017). A model-independent light curve template is built from our data-set with the purpose to investigate average properties and diversity in our sample. We searched for multiple populations in the light curve properties using machine learning tools. We also utilised the long history of our light curves, up to 4000 days, to exclude any significant pre- or post- supernova flares. From the shapes of light curves we found the average rise time in the R band to be $16.8^{+0.5}_{-0.6}$ days. Although PTF/iPTF were single-band surveys, by modelling the residuals of the SNe in the Hubble-Lema\^{i}tre diagram, we estimate the average colour excess of our sample to be $<$E$($B$-$V$)> \approx 0.05(2)$ mag and thus the mean corrected peak brightness to be $M_R = -19.02\pm0.02$ $+5 \log( {\rm H}_0 [{\rm km} \cdot{\rm s}^{-1} {\rm Mpc}^{-1}]/70)$ mag with only weakly dependent on light curve shape. The intrinsic scatter is found to be $\sigma_R = 0.186 \pm 0.033$ mag for the redshift range $0.05<z<0.1$, without colour corrections of individual SNe. Our analysis shows that Malmquist bias becomes very significant at z=0.13. A similar limitation is expected for the ongoing Zwicky Transient Facility (ZTF) survey using the same telescope, but new camera expressly designed for ZTF.