Bispectrum at 1-loop in the Effective Field Theory of Inflation

Abstract

In this paper we compute 1-loop corrections to the bispectrum in the decoupling limit of the Effective Field Theory of Inflation (EFToI). We regulate the divergences by employing dimensional regularization and work in $d=3+\delta$ dimensions. We find that the final results feature analytic structures of the form $\log \left(k_i/k_T\right)$ and $\log \left(H/\mu \right)$, where $H$ is the Hubble parameter and $\mu$ is the renormalisation scale. An interesting outcome of our calculations is that unlike the 1-loop correction to the power-spectrum computed in arXiv:0912.2734 the unrenormalised answers always produce unphysical logarithms of co-moving momenta. These unphysical logarithms are cancelled only after renormalisation. We expect this to be a generic feature for loop computations unless there is some cancellation as in the previously computed 1-loop result for the power-spectrum.

arXiv comment28 pages

References in corpus (24)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• The Effective Field Theory of Inflation
• Quantum Contributions to Cosmological Correlations
• Effective Field Theory for Inflation
• On Loops in Inflation
• The Cosmological Bootstrap: Weight-Shifting Operators and Scalar Seeds
• Effective Field Theory of Cosmological Perturbations
• Schwinger-Keldysh Diagrammatics for Primordial Perturbations
• Cosmological Cutting Rules
• Signs of Analyticity in Single-Field Inflation
• One-loop corrections to a scalar field during inflation
• The "in-in" Formalism and Cosmological Perturbations
• Building a Boostless Bootstrap for the Bispectrum
• From Locality and Unitarity to Cosmological Correlators
• On Loops in Inflation III: Time Independence of zeta in Single Clock Inflation
• On Loops in Inflation II: IR Effects in Single Clock Inflation
• The Boostless Bootstrap: Amplitudes without Lorentz boosts
• Quantum Cosmological Correlations in an Inflating Universe: Can fermion and gauge fields loops give a scale free spectrum?
• A Cosmological Bootstrap for Resonant Non-Gaussianity
• Lectures on Inflation
• Probing the initial state of inflation: analytical structure of cosmological correlators
• Loop Corrections to Cosmological Perturbations in Multi-field Inflationary Models
• Mixed Graviton and Scalar Bispectra in the EFT of Inflation: Soft Limits and Boostless Bootstrap
• Quantum corrections during inflation and conservation of adiabatic perturbations

Cited by in corpus (1)

• The Massive Flat Space Limit of Cosmological Correlators