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Full Parity-Violating Trispectrum in Axion Inflation: Reduction to Low-D Integrals
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abstract
Recent measurements of the galaxy 4-Point Correlation Function (4PCF) have seemingly detected non-zero parity-odd modes at high significance. Since gravity, the primary driver of galaxy formation and evolution is parity-even, any parity violation, if genuine, is likely to have been produced by some new parity-violating mechanism in the early Universe. Here we investigate an inflationary model with a Chern-Simons interaction between an axion and a $U(1)$ gauge field, where the axion itself is the inflaton field. Evaluating the trispectrum (Fourier-space analog of the 4PCF) of the primordial curvature perturbations is an involved calculation with very high-dimensional loop integrals. We demonstrate how to simplify these integrals and perform all angular integrations analytically by reducing the integrals to convolutions and exploiting the Convolution Theorem. This leaves us with low-dimensional radial integrals that are much more amenable to efficient numerical evaluation. This paper is the first in a series in which we will use these results to compute the full late-time 4PCF for axion inflation, thence enabling constraints from upcoming 3D spectroscopic surveys such as Dark Energy Spectroscopic Instrument (DESI), Euclid, or Roman.
Forward citations
Cited by 7 Pith papers
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Unitary and Analytic Renormalisation of Cosmological Correlators
Different dimensional regularization schemes agree with each other and with unitarity; new analytic eta regulators simplify the work and fix the imaginary part of one-loop coefficients by the logarithmic running of th...
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A parity-odd weak lensing convergence trispectrum is derived and forecast to be detectable with DES Y3/LSST Y10-like surveys under optimistic template amplitudes.
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Parity-odd Four-Point Correlation Function from DESI Data Release 1 Luminous Red Galaxy Sample
The parity-odd four-point correlation function measured in DESI DR1 LRGs is consistent with zero after correcting for survey-induced covariance mismatches.
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Measurement of Parity-Violating Modes of the Dark Energy Spectroscopic Instrument (DESI) Year 1 Luminous Red Galaxies' 4-Point Correlation Function
DESI's first parity-violation search shows a strong auto-correlation signal that disappears when the sky is split into patches, pointing to underestimated mocks' variance rather than new physics.
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Constraining primordial non-Gaussianity and parity-violation through Scalar-Induced Gravitational Waves with next-generation ground-based interferometers
ET+CE forecast: injected SIGW parameters (A_p, f_peak, f_NL, tau_NL, parity-odd tau_tilde_NL) are recovered within 1-2 sigma despite an astrophysical foreground, but the chiral V-mode is sub-threshold (SNR 0.5-1.9).
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Efficient training of photonic quantum generative models
Photonic quantum generative models can be trained classically via maximum mean discrepancy, with deployment corresponding to boson sampling.
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Beyond general relativity: gravitational waves in non-minimally coupled theories
A generalized propagation parameterization for gravitational-wave strains is extended to O(H²) and O(H′), then mapped to Kalb-Ramond, axion-dilaton–Chern-Simons–Gauss-Bonnet, and U(1) dark-photon models.
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