2019ApJ...882...52H

The delay time distribution of Type Ia supernovae (SNe Ia; the time-dependent rate of SNe resulting from a burst of star formation) has been measured using different techniques and in different environments. Here we study in detail the distribution for field galaxies, using the SDSS DR7 Stripe 82 SN sample. We improve a technique we introduced earlier, which is based on galaxy color and luminosity and is insensitive to details of the star formation history, to include the normalization. Assuming a power-law dependence of the SN rate with time, DTD(t) = A(t/1 Gyr)^s, we find a power-law index s=-1.34_–0.17^+0.19 and a normalization log A=-12.15_–0.13^+0.10dex(M_☉^–1yr^–1), corresponding to a number of SNe Ia integrated over a Hubble time of k_Ia=0.004_–0.001^+0.002M_☉^–1. We also implement a method used by Maoz and collaborators, which is based on star formation history reconstruction, and find that this gives a consistent result for the slope but a lower, marginally inconsistent normalization. With our normalization, the distribution for field galaxies is made consistent with that derived for cluster galaxies. Comparing the inferred distribution with predictions from different evolutionary scenarios for SNe Ia, we find that our results are intermediate between the various predictions and do not yet constrain the evolutionary path leading to SNe Ia.