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Table 2.

Definitions.

Term Description
F Filter index.
i Colour index.
⟨ ⋅ ⟩ Average over all SNe.
Colour i before ewSi and ewCa corrections.
ci Colour i after ewSi and ewCa corrections.
ei Excess ei = ci − ⟨ci⟩.
Ii Intrinsic component of colour i.
Xi Extinction component of colour i.
ϵi Residual of the colour description by the model.
Magnitude increase from extinction by host (from the extinction formula) in bandpass F.
AF Same as previous after modification of the extinction formula value.
δij(RV) Relates extinctions in colours j and i using the extinction formula (Sect. 5.4).
Ratio of the magnitude extinction in bandpass F to the extinction component of colour j (Eq. (12)).
RFj(RV) Same as previous after rescaling (Sect. 4.2.2).
γij Relates the intrinsic colours j and i (free parameters to be found).
σi Partial derivative of colour ci on ewSi, ∂ci/ewSi.
κi Partial derivative of colour ci on ewCa, ∂ci/ewCa.

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