Intrinsic and extinction colour components in SNeIa and the determination of $R_V$

Abstract

The key ingredients in this attempt at separating for each supernova the intrinsic and extinction colour components, and then measuring Rv , are the assumptions of a linearized dependence of magnitudes on the extinction component of colour, a one-dimensional extra-intrinsic colour space (in addition to CaII H&K $\lambda$3945 and Si II $\lambda$4131 contributions, and the absence of correlations between intrinsic and extrinsic variabilities. A consistent solution is found under the previous assumptions, but the observed systematic trends point to a small inadequacy of the extinction formula. Once corrected, all systematic extinction effects can be cancelled by choosing a single scaling of the extinction colour component as well as the appropriate value of Rv = 2.181 $\pm$ 0.117