Probing parity-odd bispectra with anisotropies of GW $V$ modes

Abstract

It is well known that non-trivial squeezed tensor bispectra can lead to anisotropies in the inflationary stochastic gravitational wave (GW) background, providing us with an alternative and complementary window to primordial non-Gaussianities (NGs) with respect to the CMB. Previous works have highlighted the detection prospects of parity-even tensor NGs via the GW $I$-mode anisotropies. In this work we extend this by analysing for the first time the additional information carried by GW $V$-mode anisotropies due to squeezed NGs. We show that GW $V$ modes allow us to probe parity-odd squeezed $⟨\mathrm{tts}⟩$ and $⟨\mathrm{ttt}⟩$ bispectra. These bispectra break parity at the non-linear level and can be introduced by allowing alternative symmetry breaking patterns during inflation, like those comprised in solid inflation. Considering a BBO-like experiment, we find that a non-zero detection of squeezed $⟨\mathrm{tts}⟩$ parity-odd bispectra in the $V$ modes dipole is possible without requiring any short-scale enhancement of the GW power spectrum amplitude over the constraints set by the CMB. We also briefly discuss the role of $V$-CMB cross-correlations. Our work can be extended in several directions and motivates a systematic search for polarized GW anisotropies in the next generations of GW experiments.

50 pages, 4 figures. v3: references added, improved explanations and definitions. Results unchanged. Matched published version

References in corpus (57)

• Upper Limits on the Isotropic Gravitational-Wave Background from Advanced LIGO's and Advanced Virgo's Third Observing Run
• Chiral Primordial Gravitational Waves from a Lifshitz Point
• Improved Calculation of the Primordial Gravitational Wave Spectrum in the Standard Model
• Enhanced Non-Gaussianity from Excited Initial States
• CMB-S4: Forecasting Constraints on Primordial Gravitational Waves
• Improved limits on the tensor-to-scalar ratio using BICEP and Planck
• Gravitational waves at interferometer scales and primordial black holes in axion inflation
• Primordial Gravitational Waves from Axion-Gauge Fields Dynamics
• The LISA-Taiji network
• Improved reconstruction of a stochastic gravitational wave background with LISA
• Sensitivity to a Frequency-Dependent Circular Polarization in an Isotropic Stochastic Gravitational Wave Background
• Oscillations in the stochastic gravitational wave background from sharp features and particle production during inflation
• Probing Parity-Violation with the Four-Point Correlation Function of BOSS Galaxies
• Probing Anisotropies of the Stochastic Gravitational Wave Background with LISA
• Parity breaking signatures from a Chern-Simons coupling during inflation: the case of non-Gaussian gravitational waves
• Prospects for direct detection of circular polarization of gravitational-wave background
• An analytic approach to non-slow-roll inflation
• Inflationary tensor fossils in large-scale structure
• Quest for circular polarization of gravitational wave background and orbits of laser interferometers in space
• Spectral separation of the stochastic gravitational-wave background for LISA: observing both cosmological and astrophysical backgrounds
• The Imprint of Relativistic Particles on the Anisotropies of the Stochastic Gravitational-Wave Background
• Measuring the primordial gravitational-wave background in the presence of astrophysical foregrounds
• Measuring Parity Violation in the Stochastic Gravitational Wave Background with the LISA-Taiji network
• Polarized primordial gravitational waves in the ghost-free parity-violating gravity
• CLASS_GWB: robust modeling of the astrophysical gravitational wave background anisotropies
• Bootstrapping Large Graviton non-Gaussianities
• The $N_{\ell }$ of gravitational wave background experiments
• Simultaneous estimation of astrophysical and cosmological stochastic gravitational-wave backgrounds with terrestrial detectors
• Searching for cosmological gravitational-wave backgrounds with third-generation detectors in the presence of an astrophysical foreground
• Spectral separation of the stochastic gravitational-wave background for LISA in the context of a modulated Galactic foreground
• Analytic formulae of the CMB bispectra generated from non-Gaussianity in the tensor and vector perturbations
• Observed parity-odd CMB temperature bispectrum
• Cross-correlating Astrophysical and Cosmological Gravitational Wave Backgrounds with the Cosmic Microwave Background
• Parity violation in the CMB trispectrum from the scalar sector
• On the scalar consistency relation away from slow roll
• Planck and BICEP/Keck Array 2018 constraints on primordial gravitational waves and perspectives for future B-mode polarization measurements
• Tensor non-Gaussianity in chiral scalar-tensor theories of gravity
• Alternative LISA-TAIJI networks
• Testing the Early Universe with Anisotropies of the Gravitational Wave Background
• Intensity and anisotropies of the stochastic Gravitational Wave background from merging compact binaries in galaxies
• Measuring Parity Asymmetry of Gravitational Wave Backgrounds with a Heliocentric Detector Network in the mHz Band
• Examining the consistency relations describing the three-point functions involving tensors
• Cross-correlations as a Diagnostic Tool for Primordial Gravitational Waves
• On Graviton non-Gaussianities in the Effective Field Theory of Inflation
• The Dipole of the Astrophysical Gravitational-Wave Background
• Solid Consistency
• Solid Soft Theorems
• Small-scale Tests of Inflation
• Revisiting non-Gaussianity in non-attractor inflation models in the light of the cosmological soft theorem
• Boosting GWs in Supersolid Inflation
• CMB bounds on tensor-scalar-scalar inflationary correlations
• Primordial Stochastic Gravitational Wave Background Anisotropies: in-in Formalization and Applications
• Measuring the primordial gravitational wave background in the presence of other stochastic signals
• Primordial Non-Gaussianity in Supersolid Inflation
• Primordial tensor bispectra in $\mu$-CMB cross-correlations
• Zoology of Graviton non-Gaussianities
• Correlation between opposite-helicity gravitons: Imprints on gravity-wave and microwave backgrounds

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• Parity violation in the scalar trispectrum: no-go theorems and yes-go examples
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• Polarized primordial gravitational waves in spatial covariant gravities
• Polarized gravitational waves in the parity violating scalar-nonmetricity theory
• Boltzmann equations for astrophysical Stochastic Gravitational Wave Backgrounds scattering off of massive objects
• Antipodal Angular Correlations of Inflationary Stochastic Gravitational Wave Background