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Parity Violation from Emergent Non-Locality During Inflation
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Parity violation in the early universe holds great promise for uncovering new physics. In particular, the primordial scalar four-point correlation function is allowed to develop a parity-violating component when massive spinning particles coupled to a helical chemical potential are present during inflation. In this paper, we explore the rich physics of such a parity-violating trispectrum in the presence of a reduced speed of sound for the Goldstone boson of broken time translations. We show that this signal can be significantly large while remaining under perturbative control, offering promising observational prospects for future cosmological surveys. In the limit of a reduced sound speed, the dynamics admits an effective non-local description organized as a time-derivative expansion. This reveals that parity violation arises due to emergent non-locality in the single-field effective theory. At leading order, this effective theory yields a compact trispectrum template, written in terms of elementary functions. We then conduct a comprehensive analysis of the kinematic dependence of this parity-violating trispectrum and reveal new features. In addition to the low-speed collider resonance, we find a new class of signals lying in the internal soft-limit of the correlator. This signal is characterized by an oscillatory pattern periodic in the momentum ratio, with a frequency determined by the speed of sound and the chemical potential, making it drastically distinct from the conventional cosmological collider signal.
Forward citations
Cited by 12 Pith papers
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Testing parity with composite-field spectra of BOSS and DESI luminous red galaxies
No evidence for cosmological parity violation is found in the first kurto-spectrum analysis of BOSS DR12 and DESI DR1 luminous red galaxies.
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No evidence for parity violation in BOSS
New statistics applied to BOSS data show the reported parity violation signal is consistent with zero after accounting for eight-point correlation function mismatch between data and mocks.
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Probing Parity Violation with Weak Lensing Trispectrum
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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Non-Relativistic Cosmological Collider Signals
Non-relativistic propagation of a tilted-ghost spectator field during inflation produces boostless cosmological collider non-Gaussianity via an effective chemical-potential-like tilt parameter.
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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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A Match Made in Heaven: Linking Observables in Inflationary Cosmology
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