Simulations of the WFIRST Supernova Survey and Forecasts of Cosmological Constraints

The Wide Field InfraRed Survey Telescope (WFIRST) was the highest ranked large space-based mission of the 2010 New Worlds, New Horizons decadal survey. It is now a NASA mission in formulation with a planned launch in the mid-2020's. A primary mission objective is to precisely constrain the nature of dark energy through multiple probes, including Type Ia supernovae (SNe Ia). Here, we present the first realistic simulations of the WFIRST SN survey based on current hardware specifications and using open-source tools. We simulate SN light curves and spectra as viewed by the WFIRST wide-field channel (WFC) imager and integral field channel (IFC) spectrometer, respectively. We examine 11 survey strategies with different time allocations between the WFC and IFC, two of which are based upon the strategy described by the WFIRST Science Definition Team, which measures SN distances exclusively from IFC data. We propagate statistical and, crucially, systematic uncertainties to predict the dark energy task force figure of merit (DETF FoM) for each strategy. The increase in FoM values with SN search area is limited by the overhead times for each exposure. For IFC-focused strategies the largest individual systematic uncertainty is the wavelength-dependent calibration uncertainty, whereas for WFC-focused strategies, it is the intrinsic scatter uncertainty. We find that the best IFC-focused and WFC-exclusive strategies have comparable FoM values. Even without improvements to other cosmological probes, the WFIRST SN survey has the potential to increase the FoM by more than an order of magnitude from the current values. Although the survey strategies presented here have not been fully optimized, these initial investigations are an important step in the development of the final hardware design and implementation of the WFIRST mission.