Spectral Line Intensity Mapping with SPHEREx
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1 Spectral Line Intensity Mapping with SPHEREx Tzu-Ching Chang (JPL/Caltech) SPHEREx Science Team Hao-Yi Heidi Wu (Ohio State) Olivier Doré Cosmology and First Light - December
2 Line Intensity Mapping (IM) Intensity Mapping (Chang+ 2008, Wyithe & Loeb 2008, Wyithe et al. 2008): Measure the collective emission from a large region containing multiple sources, without spatially resolving down to galaxy scales. Use spectral lines as tracers of structure, retain high frequency resolution thus redshift information. Measure brightness temperature fluctuations on the sky: just like CMB temperature field, but in 3D. courtesy of Phil Korngut (Caltech) Low-resolution redshift surveys: economical, large survey volumes. Confusion-limited. Foregroundlimited.
3 Spatial Scale θ 21cm, CO, [CII], Hα, Lyα Intensity Mapping Experiments Redshift z Intensity Mapping status report (Kovetz+, arxiv: )
4 SPHEREx deep fields: A representative view of the Universe Dark energy domination Peak of Star formation Cosmic reionization First galaxies z
5 Line Intensity Mapping with SPHEREx Hα fluctuations at z~1 Lyα fluctuations at z=6.6 Wu et al. in prep Sadoun et al., in prep 50 Mpc 50 Mpc SPHEREx will produce 96 spectral images and map 3D intensity fluctuations of multiple line tracers across redshift. Simulation work on-going, including multiple emission lines (Hα, Hβ, [OIII], [OII]) at 0 < z < 10 plus stellar continuum, and Lyα radiative transfer calculations during EoR.
6 Line Intensity Mapping with SPHEREx Fluctuations in Line Emission Power Spectra of Emission Lines Clustering amplitude (bias) z=2 Doré et al., arxiv: SPHEREx will measure statistically the fluctuations of multiple spectral lines associated with cosmic structures across redshift. SPHEREx will measure at high SNR the 3D clustering of multiple line tracers and the luminosity-weighted biases.
7 Line Intensity Mapping with SPHEREx Fluctuations in Line Emission SFRD from Hα intensity mapping Clustering amplitude (bias) Doré et al., arxiv: Gong et al SPHEREx will map SFR through cosmic time up to z~5 via Hα Intensity Mapping. SPHEREx has the sensitivity to detect Lyα from EoR, inferring ionizing photon production. See talk by Nick Scoville tomorrow afternoon.
8 Line signal de-confusion Lyα at z~7 Hα at z~0.5 Lyα + Hα High-z Lyα and low-z Hα lines can be confused in SPHEREx in the IM regime. Gong+ 14 We are planning to use a combination of well-demonstrated techniques: Masking bright, low-z sources: employed in CMB, CIB, EBL and studied for IM (e.g., Sun+16, Silva+17). Use the anisotropic power spectrum shape of Lyα and Hα (from observing to comoving coordinates) to distinguish the lines (Visbal & Loeb 2010; Gong+14; Lidz & Taylor 2016; Cheng+ 2016). Cross-correlations of different lines at same redshift (e.g., Visbal & Loeb 2010; Gong+12, +17). Cross-correlations with galaxy tracers (e.g., Chang+10, Masui+13, Pullen+13, +17).
9 parameters described in table 3. The parameters of the 21cm intensity mapping obs SKA1-LOW are described in Table 1 for z = 8, and the assumed frequency depende ment system temperature T Line cross-correlations sys and the collecting area A e are as follows: T sys = T sky Hα x 21cm, z=1 Hα x Lyα, z=6 The Astrophysical Journal, 835:273 (14pp), 2017 February 1 Gong et al. Lyα x 21cm, z=7 Gong+ 17 cance level, given the assumed survey parameters At z= , SPHEREx measures both Lyα and Hα lines. Cross-correlation can probe the. scales of Lyα photon scattering in the IGM during EoR. Cross-correlations with 21cm at z= from CHIME/HIRAX, and at z=6-8 8 from SKA1- perfect foreground removal, reads as LOW, respectively probing large-scale structures and ionizing bubble evolution during EoR. " See talk by Jackie Hewitt Figuretomorrow 14. H afternoon. Ly cross-correlation coe cient CCC H,Ly of brightness fluctuations at redshift z =10and z = 7. Shown is the cross-correlation of the sum of galactic and di use IGM fluctuations in H with total Ly fluctuations z 1.0 Cross-correlation with e.g. WFIRST Ly -tot 0.2. The errors forand the CHIME HLS withandthe Tianlai Hα di use experiments are galaxies IGM contribution at z=1-2, and Euclid deep field Hα and Ly -digm (top), as well as the scattered IGM contribution validation Ly -sigm (bottom). and foreground k 1Mpc h mitigation. 1 [OII] galaxies for signal. Figure 8. Cross power spectra of the Hα, [O III], [O II], and Hβ lines with the 21 cm line at = shown as solid and dotted bars, respectively. The dashed dotted and dotted curves denote the clustering and shot-noise terms of the cross power spectra, respectively. We find Tianlai has smaller errors and higher S/N than CHIME at a given redshift. Unlike the intensity power spectra probed by the SPHEREx, the 21 cm experiments are restricted by the relatively low spatial and spectral resolutions, and the cross power spectra can only be measured at large scales with < - T sky = MHz n 2.55 K is the sky temperature in Kelvin, and Trec = 0.1 T sky + 40K ment receiver temperature. A e = n m 2. The Lya intensity mapping calcul Silva et al. (2013). The forecast shows that the 21cm and Lya cross-power spect tected at high SNR values of (789, 442, 273, 462) for z =(7, 8, 9, 10), respectively, an Figure 3. k 3 P(k)/2π 2 [erg s 1 cm 2 sr 1 ] Now that we have simulated 21cm and Ly emission z = 7 z = 9 order toz calculate = 8 their z = 10respective auto and cross-pow spectra, as well as investigated parameter e ects, turn to estimating the detectability of these spectra future probes of the EoR. We first discuss the 21cm a Ly noise auto spectra and then their noise cross-pow spectra in the following sections cm Noise Auto Spectrum and Foreground Wedge In this section, we consider the noise power spectr 0.1 of 21cm emission, 1.0 with our signal-to-noise 10.0 ratio (S/ calculation including k[h/mpc] cosmic variance and thermal a instrumental noise. We proceed to integrate the Figure 3: The SKA1-LOW 21cm calledand 21cm Lya foreground cross-power spectra wedgeat inz Chang+ our =(7,8,9,10). S/N calculatio 15 The L based on Silva et al. (2013). The Instrument cross-power specifications spectra are predicted are taken to beto detectable match at the > 10 SK stage 1 (Pritchard et al. 2015) for line intensity mapp of the 21cm brightness temperature during the EoR. The variance for a (dimensional) 21cm power sp trum estimate for mode k and angle µ between line of sight and k (McQuinn et al. 2006; Lidz et 2008), when neglecting systematic e ects such as Heneka (k, µ) = P 21 (k, µ)+ T 2 sysv sur Bt int n (k? ) W 21 (k, µ) ( where the first term is due to cosmic variance, the s ond term describes the thermal noise of the instrume and the window function W 21 (k, µ) includesthel ited spectral and spatial instrumental resolution. As #,
10 Outlook Spectral Line Intensity Mapping with SPHEREx offers an exciting 3D probe of a significant fraction of the Universe. Hα, [OIII] IM: tracing cosmic star formation and measuring SFRD at 1 < z < 5. Lyman-α IM: tracing ionization progress during EoR at z~ SPHEREx IM offers a rich and unique dataset, complementary to EBL and galaxy survey sciences. Work in progress: Quantifying systematic effects using light cone simulations of multiple lines and stellar continuum. Refining Cosmology and EoR science cases with IM including estimate of systematic effects.
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