SN Ia Standardization on the Rise: Evidence for the Cosmological Importance of Pre-Maximum Measurements
Brian Hayden, David Rubin, Mark Strovink

TL;DR
This paper introduces SALT2X, an extension of the SALT2 model that separates the rise and fall phases of SN Ia light curves, demonstrating that rise measurements are more strongly correlated with peak brightness and improve standardization.
Contribution
The study presents SALT2X, a novel model that decouples rise and fall light-curve parameters, showing the rise phase's greater importance for cosmological standardization.
Findings
x1r correlates more strongly with peak magnitude than x1f
Standardizing on the rise reduces intrinsic luminosity dispersion
Faster cadence observations are needed to leverage rise information
Abstract
We present SALT2X, an extension of the SALT2 model for SN Ia supernova light curves. SALT2X separates the light-curve-shape parameter x1 into an x1r and x1f for the rise and fall portions of the light curve. Using the Joint Lightcurve Analysis (JLA) SN sample, we assess the importance of the rising and falling portions of the light curve for cosmological standardization using a modified version of the Unified Nonlinear Inference for Type Ia cosmologY (UNITY) framework. We find strong evidence that x1r has a stronger correlation with peak magnitude than x1f. We see evidence that standardizing on the rise affects the color standardization relation, and reduces the size of the host-galaxy standardization and the unexplained ("intrinsic") luminosity dispersion. Since SNe Ia generally rise more quickly than they decline, a faster observing cadence in future surveys will be necessary to…
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