The TT, TB, EB and BB correlations in anisotropic inflation

Abstract

The ongoing and future experiments will measure the B-mode from different sky coverage and frequency bands, with the potential to reveal non-trivial features in polarization map. In this work we study the TT, TB, EB and BB correlations associated with the B-mode polarization of CMB map in models of charged anisotropic inflation. The model contains a chaotic-type large field complex inflaton which is charged under the $U(1)$ gauge field. We calculate the statistical anisotropies generated in the power spectra of the curvature perturbation, the tensor perturbation and their cross-correlation. It is shown that the asymmetry in tensor power spectrum is a very sensitive probe of the gauge coupling. While the level of statistical anisotropy in temperature power spectrum can be small and satisfy the observational bounds, the interactions from the gauge coupling can induce large directional dependence in tensor modes. This will leave interesting anisotropic fingerprints in various correlations involving the B-mode polarization such as the TB cross-correlation which may be detected in upcoming Planck polarization data. In addition, the TT correlation receives an anisotropic contribution from the tensor sector which naturally decays after $l\gtrsim 100$. We expect that the mechanism of using tensor sector to induce asymmetry at low $l$ to be generic which can also be applied to address other low $l$ CMB anomalies.

27 pages, 10 figures; v2: references added; minor improvements in discussion; v3: version published on JCAP

References in corpus (20)

• Primordial Non-Gaussianities from Inflation Models
• Inflationary Universe with Anisotropic Hair
• Toward an Understanding of Foreground Emission in the BICEP2 Region
• Theory of cosmological perturbations in an anisotropic universe
• ACTPol: A polarization-sensitive receiver for the Atacama Cosmology Telescope
• The Nature of Primordial Fluctuations from Anisotropic Inflation
• Scalar-Scalar, Scalar-Tensor, and Tensor-Tensor Correlators from Anisotropic Inflation
• Predictions from an anisotropic inflationary era
• Anisotropic Power-law Inflation
• SPTpol: an instrument for CMB polarization measurements with the South Pole Telescope
• Imprints of anisotropic inflation on the cosmic microwave background
• Anisotropic Inflation from Charged Scalar Fields
• The Cosmology Large Angular Scale Surveyor (CLASS): 40 GHz optical design
• On the non-Gaussian correlation of the primordial curvature perturbation with vector fields
• Suppressing the impact of a high tensor-to-scalar ratio on the temperature anisotropies
• Primordial Fluctuations from Inflation with a Triad of Background Gauge Fields
• The different varieties of the Suyama-Yamaguchi consistency relation and its violation as a signal of statistical inhomogeneity
• Linking the BICEP2 result and the hemispherical power asymmetry through spatial variation of $r$
• Scalar-Tensor Anti-Cross-Correlation does not Help to Reconcile the Tension between BICEP2 and Planck
• Tensor-induced B modes with no temperature fluctuations

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• Clustering Fossils in Solid Inflation
• Schwinger Mechanism During Inflation
• Statistical Anisotropies in Gravitational Waves in Solid Inflation
• Stochastic Effects in Anisotropic Inflation
• Anisotropic power-law inflation in a two-scalar-field model with a mixed kinetic term
• Uniqueness of the Fock quantization of scalar fields in a Bianchi I cosmology with unitary dynamics
• Hemispherical asymmetry from an isotropy violating stochastic gravitational wave background
• Geometric structure of multi-form-field isotropic inflation and primordial fluctuations
• de Sitter symmetries and inflationary scalar-vector models