2012MNRAS.425.1889S

In this third paper in a series we compare spectral feature measurements to photometric properties of 108 low-redshift (z < 0.1, < z > ≈ 0.023) Type Ia supernovae (SNe Ia) for which we have optical spectra within 5d of maximum brightness. The spectral data were obtained from 1989 to the end of 2008 as part of the Berkeley Supernova Ia Program (BSNIP) and are presented in BSNIP I by Silverman et al., and the photometric data come mainly from the Lick Observatory Supernova Search and are published by Ganeshalingam et al. The spectral measurements are presented and discussed in BSNIP II by Silverman, Kong & Filippenko, and the light-curve fits and photometric parameters can be found in Ganeshalingam et al. (in preparation). A variety of previously proposed correlations between spectral and photometric parameters are investigated using the large and self-consistent BSNIP data set. We find the pseudo-equivalent width (pEW) of the SiII λ4000 line to be a good indicator of light-curve width, and the pEWs of the MgII and FeII complexes are relatively good proxies for SN colour. We also employ a combination of light-curve parameters (specifically the Spectral Adaptive Light-curve Template 2 stretch and colour parameters x₁ and c, respectively) and spectral measurements to calculate distance moduli. The residuals from these models are then compared to the standard model which uses only light-curve stretch and colour. Our investigations show that a distance model that uses x₁, c and the velocity of the SiII λ6355 feature does not lead to a decrease in the Hubble residuals. We also find that distance models with flux ratios alone or in conjunction with light-curve information rarely perform better than the standard (x₁, c) model. However, when adopting a distance model which combines the ratio of fluxes near ∼ 3750 and 4550 Å with both x₁ and c, the Hubble residuals are decreased by ∼ 10per cent, which is found to be significant at about the 2σ level. The weighted root mean square of the residuals using this model is 0.130±0.017mag (as compared with 0.144±0.019mag when using the same sample with the standard model). This Hubble diagram fit has one of the smallest scatters ever published and at the highest significance ever seen in such a study. Finally, these results are discussed with regard to how they can improve the cosmological accuracy of future, large-scale SN Ia surveys.

Marc J. Staley Fellow.

Deceased 2011 December 12.