Measuring primordial anisotropic correlators with CMB spectral distortions

Abstract

We show that inflationary models with broken rotational invariance generate testable off-diagonal signatures in the correlation between the $\mu$-type distortion and temperature fluctuations of the cosmic microwave background. More precisely, scenarios with a quadrupolar bispectrum asymmetry, usually generated by fluctuations of primordial vector fields, produce a nonvanishing $\mu$-$T$ correlation when $|{\ell }_1-{\ell }_2|=2$. Since spectral distortions are sensitive to primordial fluctuations up to very small scales, a cosmic variance limited spectral distortion experiment can detect such effects with a high signal-to-noise ratio.

9 pages, 3 figures. Accepted for publication in PRD

References in corpus (15)

• CMBPol Mission Concept Study: Probing Inflation with CMB Polarization
• Hemispherical power asymmetry in the three-year Wilkinson Microwave Anisotropy Probe sky maps
• Power asymmetry in WMAP and Planck temperature sky maps as measured by a local variance estimator
• Asymmetric Beams and CMB Statistical Anisotropy
• Beyond y and μ: the shape of the CMB spectral distortions in the intermediate epoch, 1.5x10^4 < z < 2x10^5
• Broken Isotropy from a Linear Modulation of the Primordial Perturbations
• Creation of the CMB spectrum: precise analytic solutions for the blackbody photosphere
• Parity-violating CMB correlators with non-decaying statistical anisotropy
• Probing the scale dependence of non-Gaussianity with spectral distortions of the cosmic microwave background
• Testing the Running of non-Gaussianity through the CMB mu-distortion and the Halo Bias
• Inflationary power asymmetry from primordial domain walls
• The different varieties of the Suyama-Yamaguchi consistency relation and its violation as a signal of statistical inhomogeneity
• Probing correlations of early magnetic fields using mu-distortion
• Limits on the fluctuating part of $y$-type distortion monopole from Planck and SPT results
• Anisotropic CMB distortions from non-Gaussian isocurvature perturbations

Cited by in corpus (15)

• Exploring Cosmic Origins with CORE: Inflation
• Testing the Early Universe with Anisotropies of the Gravitational Wave Background
• Polypolar spherical harmonic decomposition of galaxy correlators in redshift space: Toward testing cosmic rotational symmetry
• Primordial trispectra and CMB spectral distortions
• Induced superhorizon tensor perturbations from anisotropic non-Gaussianity
• Violation of statistical isotropy and homogeneity in the 21-cm power spectrum
• Primordial non-Gaussianity with $\mu$-type and $y$-type spectral distortions: exploiting Cosmic Microwave Background polarization and dealing with secondary sources
• Correlating CMB Spectral Distortions with Temperature: what do we learn on Inflation?
• Angular dependence of primordial trispectra and CMB spectral distortions
• Primordial tensor bispectra in $\mu$-CMB cross-correlations
• Leverage on small-scale primordial non-Gaussianity through cross-correlations between CMB $E$-mode and $\mu$-distortion anisotropies
• Testing the scale-dependent hemispherical asymmetry with the 21-cm power spectrum from the epoch of reionization
• Statistical anisotropy in CMB spectral distortions
• Testing kinetically coupled inflation models with CMB distortions
• CMB spectroscopy at third-order in cosmological perturbations