Closed-Form Formulae for Inflation Correlators

Abstract

We derive exact and closed-form expressions for a large class of two-point and three-point inflation correlators with the tree-level exchange of a single massive particle. The intermediate massive particle is allowed to have arbitrary mass, spin, chemical potential, and arbitrary nonderivative or derivative couplings to external inflaton modes. We also allow the coupling coefficients to have arbitrary complex power dependences on the conformal time. Our results feature closed-form expressions involving only familiar special functions and without any infinite sums. This is achieved by an improved bootstrap method with a suitable change of variables. Our results cover a wide range of cosmological collider models and can be directly used for future phenomenological studies. Our results can also be used as basic building blocks for constructing more complicated inflation correlators.

41 pages

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• The Massive Flat Space Limit of Cosmological Correlators
• Multivariate hypergeometric solutions of cosmological (dS) correlators by $\text{d}\log$-form differential equations
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• Anatomy of Parity-violating Trispectra in Galaxy Surveys
• The cosmological collider in $R^2$ inflation
• Perturbative unitarity bounds on field-space curvature in de Sitter spacetime: purity vs scattering amplitude
• The UV Sensitivity of Axion Monodromy Inflation
• Amplifying the Cosmological Collider with Ghost Spectators
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