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1 Introduction 5 2 The inflationary paradigm 15 2.1 The slow–rolling inflaton field 18 2.2 Inflation and cosmological perturbations 21 2.3 Quantum fluctuations of a generic scalar field during a de Sitter stage 24 2.4 Quantum fluctuations of a generic scalar field in a quasi–de Sitter stage 30 2.5 Correlation functions of a self interacting scalar field 32… (More)

- Nicola Bartolo, Sabino Matarrese, Antonio Riotto
- Physical review letters
- 2004

We provide the gauge-invariant expression for large-scale cosmic microwave background temperature fluctuations at second-order perturbation theory. This enables us to define unambiguously the nonlinearity parameter f(NL), which is used by experimental collaborations to pin down the level of non-Gaussianity in the temperature fluctuations. Furthermore, it… (More)

We report the results of a joint analysis of data from BICEP2/Keck Array and Planck. BICEP2 and Keck Array have observed the same approximately 400 deg^{2} patch of sky centered on RA 0 h, Dec. -57.5°. The combined maps reach a depth of 57 nK deg in Stokes Q and U in a band centered at 150 GHz. Planck has observed the full sky in polarization at seven… (More)

- J. Aumont, C. Baccigalupi, +8 authors H. K. Eriksen
- 2015

The European Space Agency's Planck satellite, dedicated to studying the early Universe and its subsequent evolution, Planck Collaboration released the second set of cosmology products based on data from the entire Planck mission, including both temperature and polarization, along with a set of scientific and technical papers and a web-based explanatory… (More)

- P. A. R. Ade, N. Aghanim, +170 authors D. Munshi
- 2015

We report the results of a joint analysis of data from BICEP2/Keck Array and Planck. BICEP2 and Keck Array have observed the same approximately 400 deg 2 patch of sky centered on RA 0h, Dec. −57.5 •. The combined maps reach a depth of 57 nK deg in Stokes Q and U in a band centered at 150 GHz. Planck has observed the full sky in polarization at seven… (More)

We calculate the bispectrum of the Cosmic Microwave Background (CMB) temperature anisotropies induced by the second-order fluctuations in the Boltzmann equation. In this paper, which is one of a series of papers on the numerical calculation of the bispectrum from the second-order fluctuations, we consider the terms that are products of the first-order… (More)

- N. Bartolo, S. Matarrese, A. Riotto
- 2008

Correlated adiabatic and isocurvature perturbation modes are produced during inflation through an oscillation mechanism when extra scalar degrees of freedom-other than the inflaton field are present. We show that this correlation generically leads to sizeable non-Gaussian features both in the adiabatic and isocurvature perturbations. The non-Gaussianity is… (More)

- N. Bartolo, S. Matarrese, A. Riotto
- 2003

We study the evolution of cosmological perturbations on large scales, up to second order, for a perfect fluid with generic equation of state. Taking advantage of super-horizon conservation laws, it is possible to follow the evolution of the non-Gaussianity of perturbations through the different stages after inflation. We find that a large non-linearity is… (More)

- Nicola Bartolo, Emanuela Dimastrogiovanni, Sabino Matarrese, Antonio Riotto
- 2009

We consider a primordial SU (2) vector multiplet during inflation in models where quantum fluctuations of vector fields are involved in producing the curvature perturbation. Recently, a lot of attention has been paid to models populated by vector fields, given the interesting possibility of generating some level of statistical anisotropy in the cosmological… (More)

- N. Bartolo, S. Matarrese, A. Riotto
- 2001

We study adiabatic and isocurvature perturbations produced during a period of cosmological inflation. We compute the power spectra and cross spectra of the curvature and isocurvature modes, as well as the tensor perturbation spectrum in terms of the slow-roll parameters. We provide two consistency relations for the amplitudes and spectral indices of the… (More)