Inflation 2025

Dec 1, 2025, 9:00 AM → Dec 5, 2025, 6:00 PM Europe/Paris

IAP

Sébastien Renaux-Petel (IAP - CNRS)

The 41st annual IAP symposyum aims at providing an overview of research on cosmological inflation. This field is in full swing, with numerous emerging research themes, on theoretical, computational and observational grounds. Two main axes can be distinguished: precision physics, aiming to probe inflation on cosmological scales (with CMB and LSS observations), searching for fine effects such as primordial features and non-Gaussianities, effectively using inflation as a giant particle collider, and more generally as a laboratory for fundamental physics. The other axis concerns more exploratory physics: through the study of the stochastic gravitational-wave background and primordial black holes, gravitational-wave astronomy allows us to probe the late stage of the inflation, the physics of which is completely unknown. 

The colloquium will bring together theoreticians, computational physicists and observers to review recent progress and open questions pertaining to the field, notably concerning the cosmological collider, cosmological bootstrap, non-perturbative formalisms, loop effects, open effective theories, constraints from the CMB and the Large-Scale Structure, field-level inference, gravitational-wave backgrounds, primordial black holes, simulations of inflation.

Invited speakers: Adam Andrews, Chiara Animali, Josu Aurrekoetxea, Mario Ballardini, Richard Bond, Matteo Braglia, Cliff Burgess, Angelo Caravano, Thomas Colas, Fabio Finelli, Jacopo Fumagalli, Juan Garcia-Bellido, Hayden Lee, Gonzalo Palma, Oliver Philcox, Shi Pi, Yuko Urakawa, Zhong-Zhi Xianyu, David Wands.

Registration: the number of on-site participants is limited to 130 due to the capacity of the amphitheatre. Participation in this event is thus moderated and instructions will be given to accepted participants for the payment of registration fees. 

Talks and posters: the deadline for submission of an abstract for a contributed talk or a poster is September 28. Contributed talks last 15 mins including questions and are only for on-site participants. There will be a session of posters presentation.

Registration fees of 300 euros cover a welcome cocktail, coffee breaks and a dinner cruise on the Seine. Registration fees for online participants amount to 50 euros.

Conference dinner: we will have a dinner cruise on the Seine on Wednesday 3rd, from 8.15pm to 11pm, aboard the Capitaine Fracasse. 

Any email about accommodation you could receive is a scam!

SOC: Silvia Galli, Guilhem Lavaux, Jérôme Martin, Lucas Pinol, Sébastien Renaux-Petel (chair), Vincent Vennin

LOC: Nathan Belrhali, Valérie Bona, Emily Diomat, Christophe Gobet, Jean Mouette, Ketia Musau, Arthur Poisson, Sébastien Renaux-Petel

IAP code of conduct

Support: this operation was supported by the « action thématique » Cosmology-Galaxies (ATCG) of the CNRS/INSU PN Astro, the Initiative physique des infinis and the Fédération Recherche Interactions Fondamentales (FRIF).

 

 

Monday, December 1

9:00 AM Welcome coffee

1 Welcome

2 Fabio Finelli, CMB constraints on inflation and perspectives for future observations

Finelli.pdf

3 Lennart Balkenhol, Implications for Inflation of the CMB-BAO tension

The scalar spectral index, ns, plays a central role in testing inflationary models, with its precise value shaping theoretical and observational priorities. Recent analyses combining the latest cosmic microwave background (CMB) and baryon acoustic oscillation (BAO) data suggest a shift toward higher ns values compared to the Planck results. This comes with implications for inflation; previously preferred models appear to be now disfavoured by the data (>2 sigma). In this talk, I explore how this shift in ns arises due to differences between CMB and BAO data and caution against interpreting joint constraints in the context of inflation, until this emerging CMB-BAO tension is resolved.

Balkenhol.pdf

4 Antonio Raffaelli, Knot reconstruction of the scalar primordial power spectrum with Planck, ACT, and SPT CMB data

We investigate a non-parametric Bayesian method for reconstructing the primordial power spectrum of scalar perturbations using temperature and polarisation data from the Planck, ACT, and SPT CMB experiments. We use the reconstructed scalar primordial power spectrum to derive several quantities related to inflationary dynamics, such as the effective scalar spectral index, slow-roll parameters for a slow and sudden variation of the background, and the speed of sound.

Raffaelli.pdf

5 Emanuele Fondi, N-body simulations of primordial features with GENGARS

Primordial non-Gaussianity (PNG) represents a window into the nature of inflation, and large-scale structure (LSS) surveys can promisingly sharpen its constraints. To fully exploit this potential, cosmological simulations play a crucial role, allowing us to study the signatures and test the detectability of primordial features from LSS. I will present GENGARS, a framework to generate non-Gaussian initial conditions for N-body simulations from an arbitrary separable PNG shape. Building on the reduced-bispectrum-kernel formulation, we employ a Schwinger parameterization that improves efficiency by order of magnitudes, while preserving accuracy. I will outline the method and validation against 2LPT-PNG on the standard local, equilateral and orthogonal cases, emphasizing control of the induced large-scale primordial power spectrum correction, a critical requirement for accurate PNG simulations. I will then discuss how the same pipeline naturally accommodates non-standard templates, such as oscillatory PNG, and show their imprint on late-time statistics.

Fondi.pdf

6 Zucheng Gao, Parity in Composite-Field Galaxy Correlators

Detecting parity violation on cosmological scales would provide a striking clue to new physics. Large-scale structure offers the raw statistical power -- many three-dimensional modes -- to make such tests. However, for scalar observables, like galaxy clustering, the leading parity-sensitive observable is the trispectrum, whose high dimensionality makes the measurement and noise estimation challenging. We present two late-time parity-odd kurto spectra that compress the parity-odd scalar trispectrum into one-dimensional, power-spectrum-like observables. They are built by correlating (i) two appropriately weighted quadratic composite fields, or (ii) a linear and cubic composite field, constructed from dark matter (DM) or galaxy overdensity fields. We develop an FFTLog pipeline for efficient theoretical predictions of the two observables. We then validate the estimators for a specific parity-odd primordial template on perturbative DM field, and on DM and halo fields in full N-body \texttt{Quijote} simulations, with and without parity-odd initial conditions, in real and redshift space. For DM, the variance is dominated by the parity-even contribution -- i.e., the gravitationally induced parity-even trispectrum -- and is efficiently suppressed by phase-matched fiducial subtraction. For halos, discreteness-driven stochasticity dominates and is not appreciably reduced by subtraction; however, optimal weighting and halo-matter cross kurto spectra considerably mitigate this noise and enhance the signal. Using controlled down-sampling of the matter field, we empirically calibrate how the parity-even variance scales with number density and volume, and provide an illustrative forecast for the detectability of parity-odd kurto spectra in a Euclid-like spectroscopic galaxy survey.

Gao.pdf

12:00 PM Lunch

7 Zhong-Zhi Xianyu, Analytical routes to massive inflationary correlators

Xianyu.pdf

8 Hayden Lee, A Hidden Pattern in Cosmological Correlators

Lee.pdf

3:30 PM Coffee break

9 Arthur Poisson, de Sitter momentum space

Poisson.pdf

10 Nathan Belrhali, Dual space for cosmological correlators

Belrhali.pdf

11 Xi Tong, Unitary renormalisation and the quantum breaking of cosmological reality

Cosmological correlators and the associated wavefunction coefficients serve as a smoking gun towards the physics of inflation at high energy scales. In minimal setups of single-field inflation, wavefunction coefficients are purely real at tree-level due to unitarity, locality and scale invariance, leading to the so-called no-go theorems on parity violation. Such parity-violating correlators are therefore null tests of fundamental principles. Yet interestingly, there exists a twist of plot when quantum loops are involved. We show that such cosmological reality must be spontaneously broken by the renormalisation of UV divergences in de Sitter loops. More specifically, unitarity and analyticity dictate a universal imaginary part from the logarithmic running of the real part of the wavefunction coefficients. We then discuss the implications related to this universality.

Tong.pdf

12 Xiangwei Wang, Interact or Twist, Cosmological Correlators from Field Redefinitions Revisited

In cosmology, correlation functions on a late-time boundary can arise from both field redefinitions and bulk interactions, which are usually believed to generate distinct results. In this letter, we propose a counterexample showcasing that correlators from local field redefinitions can be identical to the ones from bulk interactions. In particular, we consider a two-field model in de Sitter space, where the field space gets twisted by field redefinitions to yield a nontrivial reheating surface. We then exploit conformal symmetry to compute the three-point function, and show that the result takes the form of contact correlators with a total-energy singularity. Our finding suggests that in the effective field theory, a class of lower-dimensional operators, which were overlooked previously, may lead to nontrivial signals in cosmological correlators. As an illustration, we apply our result to cosmic inflation and derive a possibly leading signature of the Higgs in the primordial bispectrum.

Wang.pdf

7:00 PM Welcome cocktail

Tuesday, December 2

13 Thomas Colas, The Open Effective Field Theory of Inflation

Effective field theories in particle physics are usually designed for experiments where the initial state — the vacuum before a scattering event — is as clean and isolated as possible. Yet many physical systems, from condensed matter to cosmology, evolve in noisy and dissipative environments. Over the past decade, this recognition has driven progress at the interface between high-energy physics and condensed-matter. Motivated by these insights, I will present a framework for gravitational dynamics that combines General Relativity with the Schwinger–Keldysh formalism. I will show how symmetries, locality, and unitarity constrain dissipation and noise, and illustrate the approach by deriving the most general conservative and dissipative dynamics of scalar and tensor perturbations during single-clock inflation. I will conclude by discussing future prospects for dissipative dark sectors in the late universe.

Colas.pdf

14 Cliff Burgess, Acceleration Then and Now

Burgess.pdf

10:30 AM Coffee break

15 Fumiya Sano, Decoherence of primordial perturbations in the view of a local observer

We study quantum decoherence of curvature perturbations at superhorizon scales caused by the gravitational nonlinearities. We show that cubic gravitational couplings, constrained by the spatial diffeomorphism invariance, lead to infrared (IR) and ultraviolet (UV) divergences in the decoherence rate at one loop. These divergences arise from fluctuations of deep IR modes which look like a background mode for a local observer and violent zero-point fluctuations in the deep UV, respectively. We argue that these divergences are unobservable, as they vanish when considering proper observables. We consider correlators defined using the geodesic distance for IR divergences and time-averaged correlators for UV divergences. To account for these observer's perspectives, we propose to consider an effective quantum state, defined in terms of actual observables, as a more appropriate probe of the quantum coherence of the system measured by an observer. We then evaluate the finite decoherence rate induced by superhorizon environment during inflation and at late universe. This talk is based on the paper arXiv:2504.10472.

Sano.pdf

16 Francescopaolo Lopez, Quantum signatures and decoherence during inflation from deep subhorizon perturbations

In order to shed light on the quantum to classical transition of the primordial perturbations in single field inflation, we investigate the decoherence and associated quantum corrections to the correlation functions of large-scale (superhorizon) scalar curvature perturbations. The latter are considered as an open quantum system which undergoes decoherence induced by a time-dependent environment of deep subhorizon tensorial modes (i.e. primordial gravitational waves) through the trilinear interactions predicted by General Relativity. We first prove that a time dependent subhorizon environment of gravitational waves can be relevant for decoherence during inflation, by considering derivativeless interactions, which, in our case, give the most important results. Our results show that important non-Markovian effects pop up, instead, when dealing with derivative interactions. When considering the interplay between derivativeless and derivative interactions, decoherence is slowed down. This underlines the importance of accounting for all the interactions in open quantum-system calculations in an inflationary setting. We finally compute the quantum corrections to cosmological correlation functions. We observe a resummation of the quantum corrections, which is a general property of quantum master equations.

Lopez.pdf

17 Lennard Dufner, An Open System Approach to Gravitational Waves

Several major open problems in cosmology involve spacetime-filling media with unknown microphysics, and can only be probed through their gravitational effects. This observation motivates a systematic open-system approach, in which gravity evolves in the presence of a generic, unobservable environment. In this talk, I will present a general framework for open gravitational dynamics, based on the Schwinger-Keldysh path integral formalism. Applied to inflation, the framework recovers the Open Effective Field Theory of Inflation in the decoupling limit and naturally extends it to include gravitational interactions. These yield both conservative and dissipative corrections to graviton propagation. Remarkably, the leading gravitational birefringence is dissipative, while conservative birefringence only appears at higher derivative order — contrary to the electromagnetic case.

Dufner.pdf

18 Sebastian Cespedes, On the UV realisations of \lambda phi^4 in de Sitter

I will present an effective field theory (EFT) that captures the dominant late-time behavior of massless spectator fields in de Sitter space in the presence of heavy internal fields. As expected, when the mass of these internal fields is large, the leading term reproduces the infrared-divergent contributions to correlation functions obtained in the single-field description. Remarkably, even when the mass of the spectator field is below the Hubble scale, there still exists an EFT description organized in terms of leading local operators with subdominant nonlocal corrections. Crucially, this EFT describes a mixed rather than a pure state, and its four-point functions display logarithmically growing divergences at late times. In this regime, standard perturbation theory breaks down and must be reorganized. The resulting EFT is not obtained by integrating out heavy modes in the Wilsonian sense, but instead emerges from an explicit expansion of the time-evolution operator. The outcome is a local, Markovian, and generically non-unitary effective theory that resums the leading infrared behavior of the full theory to all orders. I will discuss its structure, diagrammatic interpretation, and implications for resumming loop corrections to inflationary correlators even when the heavy fields never go on shell.

Cespedes.pdf

12:00 PM Lunch

19 Angelo Caravano, A Tale of Cosmic Butterflies: a non-perturbative journey into the physics of inflation

Caravano.pdf

20 Dick Bond, Have quantum Transport, Will Travel: pinGponG theory in Cosmic SuperWeb Inflation propagated to entangled lensed Websky-lightcone maps

A major CITA concentration is spatially concentrated primordial nonGaussianities (pinGs) from outlier trajectories (ponGs) which can arise generically during and after inflation from field-instabilities transverse to the inflaton flow. CMB and LSS lightcone Webskys we construct with pinGs can evade the stringent 2D perturbative single-nonG-template constraints from the ~10 e-folds probed by Planck+ACT. pinGs could play a role in the low-k CMB anomalies and have correlated localized B-modes sourced by anisotropic stress. pinGs would be more easily detected in 3D Large Scale Structure Surveys and could be hugely-big in the largely obscured 50 e-foldings from CMB/LSS scales to the end-of-inflation. We explore the generic nature of pinGs using pseudo-spectral lattice simulations applied to multi-field effective-potentials cast in an in-out state formulation. Though similar in spirit to the $mass^2 >0 $ cosmic collider program, the $mass^2 <0$ in (incomplete) phase transitions gives more dramatic observable phenomena, maybe even with entropic memories of domain wall and stringy structures in Cosmic Webskys. I will also relate this pinGy work to our popular stochastic-inflation framework.

3:30 PM Coffee break

21 Tom Morrison, All things in the theory of pinG ponGs: generic primordial intermittent nonGaussianity and outlier trajectories in scalar and correlated gravitational wave signals

I will summarize key results from a series of 4 papers in collaboration
with Dick Bond and Jonathan Braden: (1) Relating stochastic inflation to
the results of state-of-the-art lattice simulations, complete with
component separation of nonGaussianity; (2) Spatial localization of
primordial intermittent nonGaussianity (pinGs) and the statistics of
rare events; (3) The role of outlier trajectories (ponGs) in the
generation of pinGs; and (4) The graviational wave response and their
nonlinear correlation to an associated scalar nonGaussian signal, unlike
the classical zero-point fluctuation r case.

22 Yoann Launay, Stochastic Inflation in Numerical Relativity

A set of 3+1 equations for stochastic inflation can be obtained in a gauge invariant manner, incorporating all scalar and tensorial perturbation degrees of freedom and without gradient expansion. We demonstrate a numerical implementation of the stochastic equations cast in the BSSN formulation of Numerical Relativity.

23 Alessio Notari, The Inflationary QCD Axion

The QCD axion is a leading Dark-Matter candidate, typically studied in two cosmological scenarios: a 'post-inflationary' regime, in which axionic cosmic strings form after inflation, and a 'pre-inflationary' regime, in which the axion field is homogenized across the observable Universe and no strings are present. Here I explore a third possibility, in which the axion acquires large fluctuations during the visible part of inflation. This generates a non-standard cosmic-string network, which opens a new window for axion Dark Matter at large axion masses—potentially up to the astrophysical bounds near 0.01 eV, even within the most minimal QCD axion model.

Notari.pdf

24 Andrea Costantini, Primordial correlators from Multi-point propagators

Accurate predictions of correlators of the primordial curvature perturbation are
critical for connecting inflationary models to cosmological observations. Numer-
ical methods employing differential equations, such as the transport approach,
have been extensively used to compute the evolution of these correlators. In this
talk, I will present a novel numerical implementation of the transport formalism.
We use Multi-point propagators (MPPs), that link non-linearly evolved fields
to their values at some earlier time. This method recasts the direct evolution
of correlators into a system of differential equations for MPPs. We benchmark
the MPP approach against the established PyTransport code across a range
of models, and I will discuss the essential applications of the new method to
models than can lead to enhanced fluctuations on small scales.

Costantini.pdf

25 Outreach public talk, Sébastien Renaux-Petel (in French)

Wednesday, December 3

26 Yuko Urakawa, Advances in the separate universe approach: from theory to applications

Urakawa.pdf

27 Matteo Braglia, One-loop renormalized inflationary power spectra

Braglia.pdf

10:30 AM Coffee break

28 Oliver Janssen, Constraints on inflation from the gravitational path integral

We will review a proposal for which complex geometries should be included as saddle points in the semiclassical evaluation of gravitational path integrals, including a new efficient algorithm to detect violating saddles. Then we will turn to the application of constraining inflation via the Hartle-Hawking wave function.

Janssen.pdf

29 Arttu Rajantie, A Tale of Two Potentials

The effective potential of a scalar field is a powerful tool in quantum field theory. Loosely speaking, it can be interpreted as the quantum corrected classical potential of the field, and in cosmology it is widely used to describe the evolution of the inflaton and other scalars during inflation and vacuum transition probabilities, among other things. However, for light scalar fields its standard definition has an infrared problem, which means that it is dominated by very long-wavelength fluctuations.
In this talk, I discuss an alternative definition, known as the constraint effective potential, dating back to 1980s. In Minkowski spacetime, the two definitions are equivalent, but in de Sitter spacetime they are not, and crucially the constraint effective potential does not suffer from the same infrared problem. I demonstrate this with an explicit one-loop calculation of the two effective potentials for a real scalar field in de Sitter in dimensional regularisation. I compare the resulting potentials and their physical interpretations, and in particular, I argue that the constraint effective potential is the correct one to use in certain common cosmological applications, for example stochastic inflation.
This work was carried out in collaboration with Lucas Vicente Garcia-Consuegra.

Rajantie.pdf

30 Sriramkumar Lakshmanan, Departures from slow roll inflation and magnetogenesis

The primordial magnetic fields are generated during inflation by breaking the conformal invariance of the electromagnetic action through a coupling to the inflaton. Often, a parity violating term is also added to the action to generate helical magnetic fields. In this talk, I will first show that departures from slow roll inflation (as it occurs in scenarios involving a phase of ultra slow roll), which generate strong features in the scalar power spectrum, inevitably lead to sharp features in the power spectra of the electromagnetic fields and also suppress their strengths on large scales. Thereafter, I will illustrate that such challenges can be circumvented in two-field models of inflation to arrive at spectra of magnetic fields of the required strength and shape. Lastly, I will describe the evaluation of the three-point cross-correlation between the curvature perturbations and magnetic fields in slow roll and ultra slow roll inflation, and discuss the validity of the consistency relation in the squeezed limit.

Lakshmanan.pdf

31 Oksana Iarygina, Axion inflation with non-Abelian gauge fields

Currently, the search for primordial gravitational waves is largely focused on detecting the parity-odd polarization pattern in the Cosmic Microwave Background - the B-modes. Accurately interpreting B-mode measurements depends heavily on understanding their production mechanisms. A particularly compelling scenario involves gravitational wave generation through the interaction of axion with gauge fields during inflation. I will present recent advances in axion inflation with non-Abelian gauge fields, focusing on the signatures in the primordial gravitational wave background and their correlation with primordial magnetic fields. I will conclude with a discussion of how the Schwinger effect at the end of inflation can nearly exclude axion magnetogenesis as a viable scenario.

Iarygina.pdf

12:00 PM Lunch

32 Mario Ballardini, Euclid: constraints on initial conditions and implications for primordial features

Ballardini.pdf

33 Adam Andrews, Bayesian Field-Level Inference of Local Primordial non-Gaussianity in Galaxy Redshift Surveys

3:30 PM Coffee break

34 Poster presentations

Bechaz.pdf

Benaco.pdf

Chakraborty.pdf

Cruces.pdf

Florio.pdf

Garces.pdf

Horii.pdf

H-V-Ragavendra.pdf

Lucio-dos-Santos.pdf

Luo.pdf

Martinez-Somonte.pdf

Miranda.pdf

Musco.pdf

Paul.pdf

Rogelj.pdf

S-R-Haridev.pdf

Terente.pdf

Vaisanen.pdf

Vareilles.pdf

Wang.pdf

Zenteno.pdf

Zhang.pdf

Zhao.pdf

8:00 PM Conference dinner

Thursday, December 4

35 Juan Garcia-Bellido, Primordial Black Holes as a signature of Inflation

36 Chiara Animali, Stochastic trees for stochastic inflation and primordial black hole formation

During inflation, quantum vacuum fluctuations are stretched beyond the Hubble radius, modifying the large-scale dynamics of the Universe. While their backreaction is negligible in the perturbative regime, it can become important in scenarios leading to primordial black hole (PBH) formation, where large density fluctuations are generated. The combination of stochastic inflation and the 𝛿N formalism provides an efficient framework to track these large fluctuations non-perturbatively. After reviewing the emergence of heavy non-Gaussian tails in the curvature perturbation distribution, I will show how large fluctuations are spatially correlated by computing real-space correlation functions within the stochastic-𝛿N approach. This can be used to characterise the spatial distribution of PBHs, revealing a universal clustering profile at their formation.
I will then introduce a novel framework that implements stochastic inflation on stochastic trees, modelling inflationary expansion as a branching process. Notably, stochastic trees do not operate on a fixed background, instead new spacetime units dynamically emerge as the trees unfold, naturally incorporating metric fluctuations. The tree structure naturally encodes the statistics of curvature perturbations and other cosmological fields, providing a direct tool to study PBH formation. Within this picture, PBHs emerge at unbalanced nodes of the tree, and their mass function can be derived while automatically accounting for the “cloud-in-cloud” effect. Finally, I will discuss ongoing work on extracting compaction-function criteria for PBH formation and probing type I and type II perturbations directly from the stochastic tree population.

Animali.pdf

10:30 AM Coffee break

37 Ilia Musco, Primordial Black Hole formation from a massless scalar field

We have investigated primordial black holes formation within a model of the early Universe dominated by a massless scalar field, developing a numerical spherically symmetric code dedicated to this problem. Imposing initial conditions on super horizon scales using the gradient expansion approach, we show that a massless scalar filed is equivalent to a perfect fluid, where the pressure is equal to the total energy density, only in the regime of cosmological expansion, while during the gravitational collapse space-like gradients arises and the comoving slicing is failing. For this reason, moving to a constant mean curvature slicing, we follow entirely the numerical evolution of cosmological perturbations, also during the gravitational collapse, computing the threshold for primordial black hole formation, and the corresponding mass distribution described by critical collapse.

Musco.pdf

38 Eemeli Tomberg, Curvature profiles from stochastic inflation

Stochastic inflation is a method for computing super-Hubble perturbations beyond the small-perturbation limit. I show how to obtain the radial profile of the curvature perturbations in a random patch of space using this method. The profiles turn out to be spiky, far from the smooth mean profiles often considered in the literature. Based on extensive numerical simulations, I discuss the profiles' structure and its implications for the formation of primordial black holes.

Tomberg.pdf

39 Ricardo Zambujal Ferreira, Stupendously Large Primordial Black Holes and Domain Walls

The inflationary diffusion of scalar fields with discrete symmetries can generate a gas of closed domain walls after inflation, which later collapse into primordial black holes (PBHs) upon horizon re-entry. This mechanism predicts a distinctive, nearly flat PBH mass distribution, avoiding some issues of critical collapse. We show that QCD axion models with decay constants near the inflationary Hubble scale (f_a \sim 10^8 GeV) can produce PBHs making up ∼1% of dark matter, consistent with CMB isocurvature bounds.

Ferreira.pdf

40 Shiqian Hu, Primordial black holes and False Vacuum Decay

The Hawking evaporation of primordial black holes (PBHs) induces local reheating of the Universe, generating transient hot spots that persist over their evaporation timescale. Within this framework, we develop a method to compute the decay rate of metastable vacua in cosmological settings, circumventing conceptual issues associated with the Hartle–Hawking and Unruh vacua. Applying our approach to the electroweak vacuum instability, we derive constraints on the PBH abundance from the condition that if the electroweak vacuum is metastable, then a large population of evaporating PBHs is ruled out.

12:00 PM Lunch

41 Oliver Philcox, Colliders in the Sky: Constraining Primordial Non-Gaussianity with CMB and LSS Observations

Philcox.pdf

42 Josu Aurrekoetxea, Numerical relativity in the early universe

Aurrekoetxea.pdf

3:30 PM Conference photo and coffee break

43 Kai Hei Trevor Cheung, Massive spinning fields during inflation

We compare two setups incorporating new massive spinning degrees of freedom during inflation within the framework of the effective field theory of inflation (EFToI). Even though they differ on which symmetries are linearly realised, since they couple to the inflaton, it is possible they yield same signatures on cosmological correlators. We will see that their signatures are the same at bispectrum, but not higher-point correlators. There will also be a portion dedicated to the Feynman rules when calculating the correlators in these setups involving non-dynamical modes.

Cheung.pdf

44 Denis Werth, Positive Geometry in Cosmological Correlators

Werth.pdf

45 Chen Yang, Strongly Coupled Sectors in Inflation

Understanding the microscopic origin of primordial fluctuations remains a central challenge in inflationary cosmology. In this talk, I will explore a scenario where curvature perturbations interact with a strongly coupled, gapless sector known as unparticles. This setup allows for analytic control of cosmological correlators and reveals novel bispectrum shapes with distinctive phenomenological signatures. If time permits, I will also comment on possible model realizations and gapped scenarios.

Yang.pdf

46 Yuhang Zhu, The Integro-differential Bootstrap for Cosmological Correlators

Zhu.pdf

Friday, December 5

47 David Wands, Large/rare fluctuations from stochastic inflation

Wands.pdf

48 Gonzalo Palma, On the infrared behavior of QFTs in de Sitter: loops, logarithms and the stochastic formalism

Palma.pdf

10:30 AM Coffee break

49 Spyros Sypsas, Revisiting stochastic inflation with perturbation theory

Using perturbation theory, we compute the one-point probability density function for primordial fluctuations valid to first order in the potential. We examine under which conditions our solution respects the Fokker-Planck equation encountered within the stochastic approach. We identify discrepancies and elucidate their origins, allowing us to shed light on the status of the stochastic formalism.

Sypsas.pdf

50 Nadine Nussbaumer, Light scalars in de Sitter: the stochastic story

Light, polynomially self-interacting scalars in de Sitter notoriously generate infrared (IR) divergences: on superhorizon scales, their fluctuations grow so large that perturbation theory breaks down. We address this problem using non-perturbative techniques from stochastic inflation, by encoding the superhorizon dynamics in a probability distribution involving composite operators of the light scalar. We find that these composites behave as late-time conformal primaries, with their position-space four-point function collapsing to a strikingly simple power law. We conjecture a new physical picture: light interacting scalars in de Sitter effectively hadronize on superhorizon scales, producing a tower of composite states. We then explore whether this emergent spectrum can be captured within a weakly coupled effective field theory, which would amount to recasting the stochastic scalar IR-dynamics in terms of new, effective degrees of freedom.

Nussbaumer.pdf

51 Jaime Calderon Figueroa, Stochastic instantons and the tail of the inflationary density perturbation

In the stochastic $\delta N$ formalism, the statistics of the primordial density perturbations can be mapped to the first-passage distribution of a stochastic process. In this talk, I will present a general framework to evaluate the rare-event tail of this distribution, based on an instanton approximation to a path integral representation of the transition probability. I will show how this stochastic description can be derived from a more fundamental formulation via the Schwinger-Keldysh path integral, where integrating out short-wavelength modes yields an influence functional that encodes the noise statistics underlying the stochastic approach. Finally, I will apply this method to a number of cases, highlighting its connections with, and advantages over, the existing methodologies.

Calderon-Figueroa.pdf

52 Riccardo Impavido, Inflationary Fossils Beyond Perturbation Theory

In this work we provide the missing link between two approaches aimed at characterizing the effect of long perturbation modes in Inflation. We consider the Inflationary Fossils' approach (arXiv:1203.0302 and related works) that characterizes the power-spectrum of the inflaton field in presence of other long and non dynamical fossil fields, and a technique, appeared in arXiv:2103.09244, that computes, beyond perturbation theory, the power-spectrum of a scalar field in presence of a large fluctuation of a second field. We clarify a few points on the applicability of the non-perturbative technique. We prove in five distinct cases that the non-perturbative approach, once expanded to first order in the coupling, matches the perturbative result following the Fossils' approach. We believe that this non-perturbative technique extends to all orders the Fossils' approach, resumming infinitely many diagrams of standard in-in perturbation theory.

Impavido.pdf

12:00 PM Lunch

53 Jacopo Fumagalli, Inflation at small scales: from theoretical progress to GW observatories

Fumagalli.pdf

54 Shi Pi, Nonlinearity of the curvature perturbation on superhorizon scales

Pi.pdf

3:30 PM Coffee break

55 Mariam Tarek Mohamed Abdelaziz, The Effects of Primordial Gravitational Waves on the Large-Scale Structure

Primordial Gravitational Waves (PGWs) are a key prediction of inflation, with ongoing efforts to detect them through CMB polarization patterns and direct interferometric searches. In this talk, I will present a novel approach to probing PGWs through their impact on Large-Scale Structure (LSS). While PGWs are often assumed to have a negligible effect on structure formation, our study shows that they can source second-order scalar perturbations. These "tensor-induced scalar modes" emerge upon horizon entry, modifying the matter density contrast and leaving distinct imprints on the matter power spectrum. This mechanism also introduces an intrinsic source of non-Gaussianity in the density field, providing a unique observational signature. I will discuss how different PGW power spectra shape this imprint and evaluate its detectability in future galaxy surveys like Euclid and SKA.

Abdelaziz.pdf

56 Mohammad Ali Gorji, Oscillations and parity violation in gravitational wave background from extra tensor modes

Spectator fields which provide additional tensor degrees of freedom, on top of the standard metric tensor perturbations, can produce significant amounts of gravitational waves (GWs). Employing the effective field theory approach for spin-2 fields, we find a universal prediction that linear mixing between the metric and extra tensor modes inevitably induces oscillatory features in the GW spectrum. Moreover, parity-violating operators in the spin-2 sector can imprint chiral signatures on the resulting GW background. These results provide a model-independent characterization of the key signatures and observational implications of such scenarios which can be detected with future GW detectors.

Gorji.pdf

57 Hugo Holland, The separate universe approach and gauge fixing procedures for multifield inflation models.

The separate universe approach (SUA) is a powerful tool offering us a simple way to compute cosmic inhomogeneities at large scales including their non-linear evolution. It consists in describing the universe as a collection of independent patches which are taken to be homogeneous and isotropic. The assumptions one has to do to apply the SUA and its simplifications need to be checked, notably in multifield models of inflation. In this talk I will present the validity conditions of the SUA in non-linear sigma models by matching it to a complete cosmological perturbation theory computation taken to large scales. In particular I will dive into the subtleties of gauge fixing procedures and how they compare in both schemes.

Holland.pdf

58 Jan Tränkle, Constraining the inflaton potential with gravitational waves from oscillons

Observations of the cosmic microwave background (CMB) lend strong evidence for the paradigm of cosmic inflation, but the specific form of the inflaton potential remains unknown. Under certain conditions, the oscillating inflaton condensate filling the Universe after inflation can fragment and form interesting non-linear structures known as oscillons. These long-lived soliton-like field configurations can dominate the Universe for several e-folds of expansion, leading to an early matter-dominated phase preceding the standard radiation era.
In this talk, I will show how the rapid decay of the oscillons leads to an enhanced production of induced gravitational waves (GWs), whose energy density can saturate the observational bound on the effective number of relativistic species. We leverage this bound to constrain the inflaton mass, cubic, and quartic self-coupling in generic models that admit oscillon formation, providing novel and complementary constraints in regions of parameter space that are inaccessible with CMB observations alone.

Traenkle.pdf