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# High-Precision Redshifts for Type Ia Supernovae with the Nancy Grace Roman Space Telescope P127 Prism

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### Abstract

We present results from simulating slitless spectroscopic observations with the Nancy Grace Roman Space Telescope's (Roman) Wide-Field Instrument (WFI) P127 prism spanning 0.75 $$\mu m$$ to 1.8 $$\mu m$$. We quantify the efficiency of recovered Type Ia supernovae (SNe Ia) redshifts, as a function of P127 prism exposure time, to guide planning for future observing programs with the Roman prism. Generating the two-dimensional dispersed images and extracting one-dimensional spectra is done with the slitless spectroscopy package pyLINEAR along with custom-written software. From the analysis of 1698 simulated SN Ia P127 prism spectra, we show the efficiency of recovering SN redshifts to $$z\lesssim3.0$$, highlighting the exceptional sensitivity of the Roman P127 prism. Redshift recovery is assessed by setting a requirement of $$\sigma_z = (\left|z - z_\mathrm{true} \right|)/(1+z) \leq 0.01$$. We find that 3 hr exposures are sufficient for meeting this requirement, for $$\gtrsim 50\%$$ of the sample of mock SNe Ia at $$z\approx2$$ and within $$\pm5$$ days of rest-frame maximum light in the optical. We also show that a 1 hr integration of Roman can achieve the same precision in completeness to a depth of $$24.4 \pm 0.06$$ AB mag (or $$z\lesssim 1$$). Implications for cosmological studies with Roman P127 prism spectra of SNe Ia are also discussed.

### Author and article information

###### Journal
25 May 2022
###### Article
2205.12949
d500266e-c683-4578-90ff-e5cfc4bf64be

http://creativecommons.org/licenses/by/4.0/

###### Custom metadata
17 pages, 10 figures. Submitted to AAS journals. Comments welcome
astro-ph.GA

Galaxy astrophysics
Galaxy astrophysics