The Type Ia Supernova Color-Magnitude Relation and Host Galaxy Dust: A Simple Hierarchical Bayesian Model
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Abstract
Conventional Type Ia supernova (SN Ia) cosmology analyses currently use a
simplistic linear regression of magnitude versus color and light curve shape,
which does not model intrinsic SN Ia variations and host galaxy dust as
physically distinct effects, resulting in low color-magnitude slopes. We
construct a probabilistic generative model for the dusty distribution of
extinguished absolute magnitudes and apparent colors as the convolution of a
intrinsic SN Ia color-magnitude distribution and a host galaxy dust
reddening-extinction distribution. If the intrinsic color-magnitude (
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1538-4357