Cosmological parameter forecasts by a joint 2D tomographic approach to CMB and galaxy clustering. (arXiv:2106.05267v1 [astro-ph.CO])

<a href="http://arxiv.org/find/astro-ph/1/au:+Bermejo_Climent_J/0/1/0/all/0/1">José R. Bermejo-Climent</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Ballardini_M/0/1/0/all/0/1">Mario Ballardini</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Finelli_F/0/1/0/all/0/1">Fabio Finelli</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Paoletti_D/0/1/0/all/0/1">Daniela Paoletti</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Maartens_R/0/1/0/all/0/1">Roy Maartens</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Rubino_Martin_J/0/1/0/all/0/1">José A. Rubiño-Martin</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Valenziano_L/0/1/0/all/0/1">Luca Valenziano</a>

The cross-correlation between the cosmic microwave background (CMB) fields

and matter tracers carries important cosmological information. In this paper,

we forecast by a signal-to-noise ratio analysis the information contained in

the cross-correlation of the CMB anisotropy fields with source counts for

future cosmological observations and its impact on cosmological parameters

uncertainties, using a joint tomographic analysis. We include temperature,

polarization and lensing for the CMB fields and galaxy number counts for the

matter tracers. By restricting ourselves to quasi-linear scales, we forecast by

a Fisher matrix formalism the relative importance of the cross-correlation of

source counts with the CMB in the constraints on the parameters for several

cosmological models. We obtain that the CMB-number counts cross-correlation can

improve the dark energy Figure of Merit (FoM) at most up to a factor $sim 2$

for LiteBIRD+CMB-S4 $times$ SKA1 compared to the uncorrelated combination of

both probes and will enable the Euclid-like photometric survey to reach the

highest FoM among those considered here. We also forecast how CMB-galaxy

clustering cross-correlation could increase the FoM of the neutrino sector,

also enabling a statistically significant ($gtrsim$ 3$sigma$ for

LiteBIRD+CMB-S4 $times$ SPHEREx) detection of the minimal neutrino mass

allowed in a normal hierarchy by using quasi-linear scales only. Analogously,

we find that the uncertainty in the local primordial non-Gaussianity could be

as low as $sigma (f_{rm NL}) sim 1.5-2$ by using two-point statistics only

with the combination of CMB and radio surveys such as EMU and SKA1. Our results

highlight the additional constraining power of the cross-correlation between

CMB and galaxy clustering from future surveys which is mainly based on

quasi-linear scales and therefore sufficiently robust to non-linear effects.

The cross-correlation between the cosmic microwave background (CMB) fields

and matter tracers carries important cosmological information. In this paper,

we forecast by a signal-to-noise ratio analysis the information contained in

the cross-correlation of the CMB anisotropy fields with source counts for

future cosmological observations and its impact on cosmological parameters

uncertainties, using a joint tomographic analysis. We include temperature,

polarization and lensing for the CMB fields and galaxy number counts for the

matter tracers. By restricting ourselves to quasi-linear scales, we forecast by

a Fisher matrix formalism the relative importance of the cross-correlation of

source counts with the CMB in the constraints on the parameters for several

cosmological models. We obtain that the CMB-number counts cross-correlation can

improve the dark energy Figure of Merit (FoM) at most up to a factor $sim 2$

for LiteBIRD+CMB-S4 $times$ SKA1 compared to the uncorrelated combination of

both probes and will enable the Euclid-like photometric survey to reach the

highest FoM among those considered here. We also forecast how CMB-galaxy

clustering cross-correlation could increase the FoM of the neutrino sector,

also enabling a statistically significant ($gtrsim$ 3$sigma$ for

LiteBIRD+CMB-S4 $times$ SPHEREx) detection of the minimal neutrino mass

allowed in a normal hierarchy by using quasi-linear scales only. Analogously,

we find that the uncertainty in the local primordial non-Gaussianity could be

as low as $sigma (f_{rm NL}) sim 1.5-2$ by using two-point statistics only

with the combination of CMB and radio surveys such as EMU and SKA1. Our results

highlight the additional constraining power of the cross-correlation between

CMB and galaxy clustering from future surveys which is mainly based on

quasi-linear scales and therefore sufficiently robust to non-linear effects.

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