Hunting for Statistical Anisotropy in Tensor Modes with B-mode Observations

Abstract

We investigate a possibility of constraining statistical anisotropies of the primordial tensor perturbations by using future observations for the Cosmic Microwave Background (CMB) B-mode polarization. By parameterizing a statistically-anisotropic tensor power spectrum as $P_h(\mathbf{k})=P_h(k){\sum }_n{g}_n{\cos }^n{\theta }_{\mathbf{k}}$, where ${\theta }_{\mathbf{k}}$ is an angle of the direction of $\hat{k}=\mathbf{k}/k$ from a preferred direction, we find that it would be possible for future B-mode observations such as CMB-S4 to detect the tensor statistical anisotropy at the level of $g_n\sim \mathcal{O}(0.1)$.

7 pages

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Cited by in corpus (7)

• Mixed Non-Gaussianity from Axion-Gauge Field Dynamics
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• Footprint of Two-Form Field: Statistical Anisotropy in Primordial Gravitational Waves
• Generation of Primordial Black Holes and Gravitational Waves from Dilaton-Gauge Field Dynamics
• Testing gravity theories with cosmic microwave background in the degenerate higher-order scalar-tensor theory
• Gravitational wave trispectrum in the axion-SU(2) model
• Statistically-Anisotropic Tensor Bispectrum from Inflation