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A Cosmological Bootstrap for Resonant Non-Gaussianity
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Recent progress has revealed a number of constraints that cosmological correlators and the closely related field-theoretic wavefunction must obey as a consequence of unitarity, locality, causality and the choice of initial state. When combined with symmetries, namely homogeneity, isotropy and scale invariance, these constraints enable one to compute large classes of simple observables, an approach known as (boostless) cosmological bootstrap. Here we show that it is possible to relax the restriction of scale invariance, if one retains a discrete scaling subgroup. We find an infinite class of solutions to the weaker bootstrap constraints and show that they reproduce and extend resonant non-Gaussianity, which arises in well-motivated models such as axion monodromy inflation. We find no evidence of the new non-Gaussian shapes in the Planck data. Intriguingly, our results can be re-interpreted as a deformation of the scale-invariant case to include a complex order of the total energy pole, or more evocatively interactions with a complex number of derivatives. We also discuss for the first time IR-divergent resonant contributions and highlight an inconsequential inconsistency in the previous literature.
Forward citations
Cited by 4 Pith papers
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On Cosmological Correlators at One Loop
The one-loop triangle in-in correlator of massless scalars in flat space is evaluated in closed form in terms of dilogarithms, with Landau analysis revealing its physical singularities and a partial-energy factorisati...
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Dissecting the Scalar Cosmological Collider with the Cosmic Microwave Background
A joint Bayesian fit of the multi-field inflationary Lagrangian to Planck bispectrum data finds no cosmological collider signal (max Δχ²=5.3) and shows weak-mixing template searches are invalid except at the smallest masses.
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Bootstrapping the Cosmological Collider with Resonant Features
Oscillatory couplings with frequency above the heavy field mass remove the Boltzmann suppression of cosmological collider signals and produce new scale-dependent bispectrum shapes, with axion monodromy as a concrete r...
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Amplifying the Cosmological Collider with Ghost Spectators
Ghost-condensate spectator fields exchanged during inflation cut the Boltzmann suppression of cosmological collider signals to e^{-πμ/2}, amplifying heavy-particle bispectrum and trispectrum imprints.
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