Calculating the squeezed bispectrum in stochastic inflation by Monte Carlo simulation

arXiv:2609.02076 · astro-ph.CO, gr-qc, hep-ph, hep-th · Submitted 2026-09-02 · Read on arXiv

astro-ph.CO, gr-qc, hep-ph, hep-th

Submitted: 2026-09-02

Updated: 2026-09-02

Comments: 21 pages, 6 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Bispectrum — 55× in this paper · explained in 3 episodes
• Stochastic Dynamics — 4× in this paper · explained in 2 episodes
• Decoupling — 3× in this paper · explained in 2 episodes
• Homogeneity — 3× in this paper · explained in 2 episodes
• Non-Gaussianity — 3× in this paper · explained in 2 episodes
• Clustering — 2× in this paper · explained in 2 episodes
• Core — 2× in this paper · explained in 2 episodes
• Abundance — 1× in this paper · explained in 1 episode
• Accuracy — 1× in this paper · explained in 1 episode
• Ando and Vennin — 1× in this paper
• Consistency — 1× in this paper · explained in 3 episodes
• Primordial non-Gaussianity — 1× in this paper · explained in 2 episodes

Sources

• Review on stochastic approach to inflation
• A new algorithm for calculating the curvature perturbations in stochastic inflation
• Non-perturbative approach for curvature perturbations in stochastic-$\delta N$ formalism
• Correlation Functions in Stochastic Inflation
• Power spectrum in stochastic inflation
• Clustering of primordial black holes from quantum diffusion during inflation
• Can massive primordial black holes be produced in mild waterfall hybrid inflation?
• Multiple Fields in Stochastic Inflation
• Critical Number of Fields in Stochastic Inflation
• Quantum diffusion during inflation and primordial black holes
• Quantum diffusion beyond slow-roll: implications for primordial black-hole production
• Tunneling in Stochastic Inflation
• Stochastic Ultra Slow Roll Inflation
• Boundary Crossing in Stochastic Inflation with Critical Number of Fields
• Stochastic inflation with an extremely large number of $e$-folds
• $\Delta\mathcal{N}$ and the stochastic conveyor belt of Ultra Slow-Roll
• The exponential tail of inflationary fluctuations: consequences for primordial black holes
• Stochastic non-attractor inflation
• Numerically modeling stochastic inflation in slow-roll and beyond
• Non-Gaussian tail of the curvature perturbation in stochastic ultra-slow-roll inflation: implications for primordial black hole production

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