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The delay time distribution (DTD) of type Ia supernovae (SNe Ia) from starformation is an important clue to reveal the still unknown progenitor system ofSNe Ia. Here we report on a measurement of the SN Ia DTD in a delay time rangeof t_Ia = 0.1-8.0 Gyr by using the faint variable objects detected in theSubaru/XMM-Newton Deep Survey (SXDS) down to i' ~ 25.5. We select 65 SNcandidates showing significant spatial offset from nuclei of the host galaxieshaving old stellar population at z ~ 0.4-1.2, out of more than 1,000 SXDSvariable objects. Although spectroscopic type classification is not availablefor these, we quantitatively demonstrate that more than ~80% of these should beSNe Ia. The DTD is derived using the stellar age estimates of the old galaxiesbased on 9 band photometries from optical to mid-infrared wavelength. Combinedwith the observed SN Ia rate in elliptical galaxies at the local universe, theDTD in t_Ia ~ 0.1-10 Gyr is well described by a featureless power-law asf_D(t_Ia) \propto t_Ia^{-1}. The derived DTD is in excellent agreement with thegeneric prediction of the double-degenerate scenario, giving a strong supportto this scenario. In the single-degenerate (SD) scenario, although predictionsby simple analytic formulations have broad DTD shapes that are similar to theobservation, DTD shapes calculated by more detailed binary population synthesistend to have strong peaks at characteristic time scales, which do not fit theobservation. This result thus indicates either that the SD channel is not themajor contributor to SNe Ia in old stellar population, or that improvement ofbinary population synthesis theory is required. Various sources of systematicuncertainties are examined and tested, but our main conclusions are notaffected significantly.

Delay Time Distribution Measurement of Type Ia Supernovae by the Subaru/XMM-Newton Deep Survey and Implications for the Progenitor