Helical Inflation Correlators: Partial Mellin-Barnes and Bootstrap Equations

Abstract

Massive spinning particles acquire helicity-dependent chemical potentials during the inflation from axion-type couplings. Such spinning fields can mediate sizable inflaton correlators which we call the helical inflation correlators. Helical inflaton correlators are approximately scale invariant, dS boost breaking, parity-violating, and are promising observables of cosmological collider physics. In this work, we present complete and analytical results for 4-point helical inflation correlators with tree-level exchanges of massive spinning particles, including both the smooth background and the oscillatory signals. We compute the bulk Schwinger-Keldysh integrals in two independent ways, including the partial Mellin-Barnes representation and solving bootstrap equations. We also present new closed-form analytical results for 3-point functions with massive scalar or helical spinning exchanges. The analytical results allow us to concretely and efficiently explore the phenomenological consequences of helicity-dependent chemical potentials. In particular, we show that the chemical potential can exponentially enhance oscillatory signals of both local and nonlocal types, but only affects the background in a rather mild way. Our results extend the de Sitter bootstrap program to include nonperturbative breaking of de Sitter boosts. Our results also explicitly verify the recently proposed cutting rule for cosmological collider signals.

arXiv comment77 pages. v2: Minor corrections; New references added

References in corpus (90)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• The Effective Field Theory of Inflation
• Primordial Non-Gaussianities from Inflation Models
• Quasi-Single Field Inflation and Non-Gaussianities
• Large Nongaussianity in Axion Inflation
• Signatures of Supersymmetry from the Early Universe
• Naturally inflating on steep potentials through electromagnetic dissipation
• Large non-Gaussianities with Intermediate Shapes from Quasi-Single Field Inflation
• N-flationary magnetic fields
• Relic Abundance of Dark Photon Dark Matter
• Effective field theory approach to quasi-single field inflation and effects of heavy fields
• Non-Gaussianity as a Particle Detector
• Bootstrapping Inflationary Correlators in Mellin Space
• Gauge-preheating and the end of axion inflation
• Quasi-Single Field Inflation with Large Mass
• The Cosmological Bootstrap: Weight-Shifting Operators and Scalar Seeds
• Non-Gaussianities and chiral gravitational waves in natural steep inflation
• A Mellin Space Approach to Cosmological Correlators
• The Cosmological Optical Theorem
• Analyticity and Unitarity for Cosmological Correlators
• Schwinger-Keldysh Diagrammatics for Primordial Perturbations
• Cosmological Cutting Rules
• Inflation, Cosmic Perturbations and Non-Gaussianities
• Can slow roll inflation induce relevant helical magnetic fields?
• From AdS to dS Exchanges: Spectral Representation, Mellin Amplitudes and Crossing
• From dS to AdS and back
• Standard Model Background of the Cosmological Collider
• Prospects for Cosmological Collider Physics
• Building a Boostless Bootstrap for the Bispectrum
• Curvature Perturbation Spectrum in Two-field Inflation with a Turning Trajectory
• Linking the Singularities of Cosmological Correlators
• Primordial non-gaussianity from the bispectrum of 21-cm fluctuations in the dark ages
• Minimal Warm Inflation
• Loop Corrections to Standard Model Fields in Inflation
• Cutting Cosmological Correlators
• From Locality and Unitarity to Cosmological Correlators
• Heavy-Lifting of Gauge Theories By Cosmic Inflation
• Standard Model Mass Spectrum in Inflationary Universe
• Partially Massless Fields During Inflation
• Equilateral non-Gaussianity from heavy fields
• Fermion production during and after axion inflation
• In Search of Large Signals at the Cosmological Collider
• Probing P and CP Violations on the Cosmological Collider
• Quasi Single Field Inflation in the non-perturbative regime
• The Inflationary Wavefunction from Analyticity and Factorization
• Boostless Cosmological Collider Bootstrap
• Vacuum Instability in Chern-Simons Gravity
• Axion inflation with gauge field production and primordial black holes
• The Boostless Bootstrap: Amplitudes without Lorentz boosts
• Cosmological Collider Physics and the Curvaton
• Neutrino Signatures in Primordial Non-Gaussianities
• Searches for other vacua II: A new Higgstory at the cosmological collider
• Galaxy Bispectrum from Massive Spinning Particles
• Cosmological Bootstrap in Slow Motion
• A Cosmological Higgs Collider
• The Scalar Chemical Potential in Cosmological Collider Physics
• Seeing Higher-Dimensional Grand Unification In Primordial Non-Gaussianities
• Higher Spin Supersymmetry at the Cosmological Collider: Sculpting SUSY Rilles in the CMB
• Gauge Boson Signals at the Cosmological Collider
• Minimal signatures of the Standard Model in non-Gaussianities
• Large Spin-2 Signals at the Cosmological Collider
• Phase Information in Cosmological Collider Signals
• Non-Gaussian Enhancements of Galactic Halo Correlations in Quasi-Single Field Inflation
• Cutting Rule for Cosmological Collider Signals: A Bulk Evolution Perspective
• Probing Leptogenesis with the Cosmological Collider
• Cosmological Scattering Equations
• Bootstrapping Large Graviton non-Gaussianities
• From Amplitudes to Contact Cosmological Correlators
• Strongly Coupled Quasi-Single Field Inflation
• Precision Calculation of Inflation Correlators at One Loop
• Scale-Dependent Galaxy Bias from Massive Particles with Spin during Inflation
• Missing Scalars at the Cosmological Collider
• Cosmological Signatures of Superheavy Dark Matter
• Inflationary flavor oscillations and the cosmic spectroscopy
• Cosmological Collider Signatures of Massive Vectors from Non-Gaussian Gravitational Waves
• Classical Cosmological Collider Physics and Primordial Features
• Galaxy imaging surveys as spin-sensitive detector for cosmological colliders
• Leptogenesis from left-handed neutrino production during axion inflation
• Unique Fingerprints of Alternatives to Inflation in the Primordial Power Spectrum
• Disentangling mass spectra of multiple fields in cosmological collider
• On the inflationary massive field with a curved field manifold
• Quantum Standard Clocks in the Primordial Trispectrum
• Warm Quasi-Single Field Inflation
• Cosmological Scattering Equations at Tree-level and One-loop
• Axion Isocurvature Collider
• Analytical evaluation of cosmological correlation functions
• Heavy Particle Signatures in Cosmological Correlation Functions with Tensor Modes
• A Cosmic Microscope for the Preheating Era
• Mimicking alternatives to inflation with interacting spectator fields
• On the consistency of (partially-)massless matter couplings in de Sitter space

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• Closed-Form Formulae for Inflation Correlators
• Cosmological Correlators Through the Looking Glass: Reality, Parity, and Factorisation
• Searching for Cosmological Collider in the Planck CMB Data
• Continuous Spectrum on Cosmological Collider
• BCS in the Sky: Signatures of Inflationary Fermion Condensation
• CosmoFlow: Python Package for Cosmological Correlators
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• Analytic Formulae for Inflationary Correlators with Dynamical Mass
• Towards Systematic Evaluation of de Sitter Correlators via Generalized Integration-By-Parts Relations
• The Massive Flat Space Limit of Cosmological Correlators
• Multivariate hypergeometric solutions of cosmological (dS) correlators by $\text{d}\log$-form differential equations
• Fingerprints of a Non-Inflationary Universe from Massive Fields
• The cosmological collider in $R^2$ inflation
• Anatomy of Parity-violating Trispectra in Galaxy Surveys
• A Match Made in Heaven: Linking Observables in Inflationary Cosmology
• Perturbative unitarity bounds on field-space curvature in de Sitter spacetime: purity vs scattering amplitude
• Amplifying the Cosmological Collider with Ghost Spectators
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