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  • TYPE Ia SUPERNOVA COLORS AND EJECTA VELOCITIES: HIERARCHICAL BAYESIAN REGRESSION WITH NON-GAUSSIAN DISTRIBUTIONS
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  • https://doi.org/10.1088/0004-637x/797/2/75Copy DOI Icon

TYPE Ia SUPERNOVA COLORS AND EJECTA VELOCITIES: HIERARCHICAL BAYESIAN REGRESSION WITH NON-GAUSSIAN DISTRIBUTIONS

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Abstract

We investigate the statistical dependence of the peak intrinsic colors of\nType Ia supernovae (SN Ia) on their expansion velocities at maximum light,\nmeasured from the Si II 6355 spectral feature. We construct a new hierarchical\nBayesian regression model, accounting for the random effects of intrinsic\nscatter, measurement error, and reddening by host galaxy dust, and implement a\nGibbs sampler and deviance information criteria to estimate the correlation.\nThe method is applied to the apparent colors from BVRI light curves and Si II\nvelocity data for 79 nearby SNe Ia. The apparent color distributions of high\n(HV) and normal velocity (NV) supernovae exhibit significant discrepancies for\nB-V and B-R, but not other colors. Hence, they are likely due to intrinsic\ncolor differences originating in the B-band, rather than dust reddening. The\nmean intrinsic B-V and B-R color differences between HV and NV groups are 0.06\n+/- 0.02 and 0.09 +/- 0.02 mag, respectively. A linear model finds significant\nslopes of -0.021 +/- 0.006 and -0.030 +/- 0.009 mag/(1000 km/s) for intrinsic\nB-V and B-R colors versus velocity, respectively. Since the ejecta velocity\ndistribution is skewed towards high velocities, these effects imply\nnon-Gaussian intrinsic color distributions with skewness up to +0.3. Accounting\nfor the intrinsic color-velocity correlation results in corrections to A_V\nextinction estimates as large as -0.12 mag for HV SNe Ia and +0.06 mag for NV\nevents. Velocity measurements from SN Ia spectra have potential to diminish\nsystematic errors from the confounding of intrinsic colors and dust reddening\naffecting supernova distances.\n

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