Difference: SNeSimulations (11 vs. 12)

Revision 122017-02-17 - RahmanAmanullah

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META TOPICPARENT name="SNeIa"

Simulation of SNe Observation for Survey Strategy Observations

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I-band requirements

The SN Ia i-band requirements originate from: 1) lightcurves in at least three filters are necessary for SN Ia distances; 2) SN Ia physics science based on measuring the characteristics of the second peak (time and peak flux) visible at filters redder than the R-band; 3) Detection of the second peak is a unique feature of SNe Ia, and can be used to photometrically type the full sample after the survey complete, which is necessary for detailed and unbiased SN rates studies above the spectroscopic threshold of z=0.1.

Target statistical uncertainty

The primary goal of the ZTF SN Ia survey is to provide a low-z legacy sample for future cosmology analyses. To reach this goal, each SN in the sample needs to be measured with a statistical precision that is at the level or better than the intrinsic uncertainty of SNe Ia. For the full population of normal SNe Ia the r-i color uncertainty is close 0.08 mag (e.g. Burns et al, 2014). In order to decrease the uncertainty on individual SN Ia distances beyond today's level, by subdividing dividing the sample, the individual colors will have to be measured with higher precision. It has been shown that when SNe Ia are subdivided based on spectroscopic similarities V-I uncertainties down to 0.03 magnitudes can be obtained.
 

Discovery rates

We have based all our discovery rates using the assumption that 15000 square degrees will be covered over a 3-day period in the g and r bands (the MSIP survey), using a fixed schedule. A discovery is defined as two points detected on the rise with S/N > 5, separated by a day or more but within a week. The histogram below shows the number of discoveries in one year of operation, using these assumptions.
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  The Ia sample will be complete out to z~0.1 (based on iPTF, Papadogiannakis et al., in prep.).
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Candidate typing

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I-band requirements

The SN Ia i-band requirements originate from: 1) lightcurves in at least three filters are necessary for SN Ia distances; 2) SN Ia physics science based on measuring the characteristics of the second peak (time and peak flux) visible at filters redder than the R-band; 3) Detection of the second peak is a unique feature of SNe Ia, and can be used to photometrically type the full sample after the survey complete, which is necessary for detailed and unbiased SN rates studies above the spectroscopic threshold of z=0.1.

SN Ia cosmology

The primary goal of the ZTF SN Ia survey is to provide a low-z legacy sample for future cosmology analyses. To reach this goal, we require lightcurves of 2000 SNe Ia in at least three bands, as described in the white paper, where the lightcurve of each SN in the sample needs to be measured with a statistical precision that is at the level or better than the intrinsic uncertainty of SNe Ia. For ZTF the limitiation will be the effective cadence of the I-band survey. To estimate the properties of the I-band peak we need at least four data points within -10 < p < +15 days with respect to time of maximum, with at least one point before and one point after maximum. Based on simulation we conclude that this criteria will be reached for xx-XX, yy-YY, zz-ZZ of the discovered SN Ia sample at z<0.1 for a 4,5,6 and 9 day cadence respectively. The range corresponds to the expected uncertainty due to the weather conditions. The simulations have been carried out assuming weather conditions for 2013 and 2016. The full histogram is shown below.

hist_iband_m10d_p15d.png

SN Ia physics with the I-band

The time and characteristic of the second peak is both correlated with the Ni mass of the SN Ia, and provides a promising path for improving standardization of SNe Ia for cosmology. In order to obtain an unbiased measurement of the second peak, it is not enough to sample only the peak itself but also to capture the minimum between the two peaks. In order to do this we require at least 6 datapoints between 10 < p < 50 which will be reached for xx-XX, yy-YY, zz-ZZ of the discovered SN Ia sample at z<0.1 for a 4,5,6 and 9 day cadence respectively.

hist_iband_p10d.png

Post-survey typing using the I-band

The presence of the second peak can be used for photometrically typing using the full lightcurves of all SNe, since this a feature unique to SNe Ia. This will allow us to measure SN Ia rates, both in an absolute sense and environment dependencies, for the full sample, i.e. we are not limited to the spectroscopically confirmed sample at z < 0.1. The requirement for securing the existence of a second peak are less strict than above, and 4 data points are enough between 10 < p < 50 days which will be reached for xx-XX, yy-YY, zz-ZZ of the discovered SN Ia sample at z<0.1 for a 4,5,6 and 9 day cadence respectively.

Live candidate typing

 Candidate selection will be carried out based on photometric typing based on the presumed host galaxy photometric redshift and the lightcurve during the rise. We are currently development an algorithm for this. Using the same simulations as above we can constrain the contamination in the current implementation of our z < 0.1 sample to 25% of SNe with z > 0.1 . This can be compared to using photo-z only (from Pan-STARRS data) which gives 50%.
AaC9AihKSulUAAAAAElFTkSuQmCC.png
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Using full lightcurves we can classify the SNe Ia (which will dominate the sample as shown above) by using the second peak in i-band which is a characteristic feature of SNe Ia. With a 4-day cadence we should have at least 4 points covering the second i-band peak for 90% of the sample.
SUGAR_n_i_hist_10_50.png
 

Cosmological predictions

Binned uncertainties of mu for JLA, WFIRST and ZTF (assuming 1800 SNe at z < 0.1 with redshift distribution as above). Systematic errors have been included for both the high-z (WFIRST) and ZTF samples.
 
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