Notes for Notes

Testa, Matthew; Cassaro, James P.; Lewis, David Rich; Crawford, Samuel Judson; Belford, Rebecca; McKinney, Janet

doi:10.1353/not.2022.0092

Cited by 1 publication

(1 citation statement)

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“…It is clear from the equations just introduced that CMB fluctuations are closely related to initial primordial perturbations, which are set by the inflationary epoch, and thus they are a direct probe of the physics of the early universe. We evaluated CMB transfer functions using the publicly available Boltzmann numerical code CAMB [85] according to the best-fit Planck 2018 LCDM cosmology (H 0 = 67.32 km/s Mpc −1 , Ω b h 2 = 0.0224, Ω c h 2 = 0.120, Ω k h 2 = 0, T CMB = 2.7255 K, A s (k * ) = 2.1 × 10 −9 at the pivot scale k * = 0.05 Mpc −1 , n s = 0.966, τ = 0.0543 [86]).…”

Section: Review Of Cmb Anisotropiesmentioning

confidence: 99%

Primordial tensor bispectra in μ-CMB cross-correlations

Orlando

Meerburg

Patil

2022

J. Cosmol. Astropart. Phys.

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Cross-correlations between Cosmic Microwave Background (CMB) temperature and polarization anisotropies and μ-spectral distortions have been considered to measure (squeezed) primordial scalar bispectra in a range of scales inaccessible to primary CMB bispectra. In this work we address whether it is possible to constrain tensor non-Gaussianities with these cross-correlations. We find that only primordial tensor bispectra with statistical anisotropies leave distinct signatures, while isotropic tensor bispectra leave either vanishing or highly suppressed signatures. We discuss how the angular dependence of squeezed bispectra in terms of the short and long momenta determine the non-zero cross-correlations. We also discuss how these non-vanishing configurations are affected by the way in which primordial bispectra transform under parity. By employing the so-called BipoSH formalism to capture the observational effects of statistical anisotropies, we make Fisher-forecasts to assess the detection prospects from μ T, μ E and μ B cross-correlations. Observing statistical anisotropies in squeezed ⟨γγγ⟩ and ⟨γγζ⟩ bispectra is going to be challenging as the imprint of tensor perturbations on μ-distortions is subdominant to scalar perturbations, therefore requiring a large, independent amplification of the effect of tensor perturbations in the μ-epoch. In absence of such a mechanism, statistical anisotropies in squeezed ⟨ζζγ⟩ bispectrum are the most relevant sources of μ T, μ E and μ B cross-correlations. In particular, we point out that in anisotropic inflationary models where ⟨ζζζ⟩ leaves potentially observable signatures in μ T and μ E, the detection prospects of ⟨ζζγ⟩ from μ B are enhanced.

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Section: Review Of Cmb Anisotropiesmentioning

confidence: 99%