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We develop a method for calculating the correlation structure of the Cosmic Microwave Background (CMB) using Feynman diagrams, when the CMB has been modified by gravitational lensing, Faraday rotation, patchy reionization, or other…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Elizabeth E. Jenkins , Aneesh V. Manohar , Wouter J. Waalewijn , Amit P. S. Yadav

We present ABCMB, a differentiable Einstein-Boltzmann solver for the cosmic microwave background (CMB). ABCMB is a complete code capturing important effects to linear order in $\Lambda{\rm CDM}$ cosmology. It computes the CMB power spectrum…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-18 Zilu Zhou , Cara Giovanetti , Hongwan Liu

We propose a new method for a numerical computation of the angular bispectrum of the CMB anisotropies arising from active models such as cosmic topological defects, using a modified Boltzmann code based on CMBFAST. The method does not use…

Astrophysics · Physics 2009-11-06 Alejandro Gangui , Levon Pogosian , Serge Winitzki

We review in a pedagogical way the present status of the impact of non-Gaussianity (NG) on the Cosmic Microwave Background (CMB) anisotropies. We first show how to set the initial conditions at second-order for the (gauge invariant) CMB…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 N. Bartolo , S. Matarrese , A. Riotto

Fundamental information about the Universe is encoded in anisotropies of the Cosmic Microwave Background (CMB) radiation. To make full use of this information, an experiment must image the entire sky with the angular resolution,…

Current and future Cosmic Microwave Background (CMB) experiments aim to achieve high-precision reconstruction of the CMB polarization signal, with the most ambitious objective being the detection of primordial $B$ modes sourced by cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-28 Alessandro Carones

With the new generation of instruments for Cosmic Microwave Background (CMB) observations aiming at an accuracy level of a few percent in the measurement of the angular power spectrum of the anisotropies, the study of the contributions due…

Astrophysics · Physics 2007-05-23 N. Aghanim , S. Prunet , 0. Forni , F. R. Bouchet

These lecture notes present the computation of the full system of Boltzmann equations describing the evolution of the photon, baryon and cold dark matter fluids up to second order in perturbation theory, as recently studied in (Bartolo,…

Astrophysics · Physics 2007-05-23 Nicola Bartolo , Sabino Matarrese , Antonio Riotto

Correlations between cosmic microwave background (CMB) temperature, polarization and spectral distortion anisotropies can be used as a probe of primordial non-Gaussianity. Here, we perform a reconstruction of $\mu$-distortion anisotropies…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-02 M. Remazeilles , J. Chluba

We present a new, semi-analytic framework for estimating the level of residuals present in CMB maps derived from multi-frequency Cosmic Microwave Background (CMB) data and forecasting their impact on cosmological parameters. The data are…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-02 Radek Stompor , Josquin Errard , Davide Poletti

Cosmic microwave background (CMB) anisotropies and density fluctuations are calculated for flat cold dark matter (CDM) models with a wide range of parameters, i.e., $\Omega_0, h$ and $\Omega_B$ for both standard recombination and various…

Astrophysics · Physics 2009-10-22 Naoshi Sugiyama

We present a novel method for Cosmic Microwave Background (CMB) foreground removal based on deep learning techniques. This method employs a Transformer model, referred to as \texttt{TCMB}, which is specifically designed to effectively…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-09 Ye-Peng Yan , Si-Yu Li , Yang Liu , Jun-Qing Xia , Hong Li

We compute the spectral distortions of the Cosmic Microwave Background (CMB) created by an exotic process that extracts or injects photons of a particular frequency into the CMB. Such signatures are a natural prediction of a class of…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-22 Anoma Ganguly , Rishi Khatri , Tuhin S. Roy

We present here a detailed, self--contained treatment of the mathematical formalism for describing the theory of polarized anisotropy in the cosmic microwave background. This didactic review is aimed at researchers who are new to the field.…

Astrophysics · Physics 2009-11-10 Yen-Ting Lin , Benjamin D. Wandelt

We perform a complete study of the gravitational lensing effect beyond the Born approximation on the Cosmic Microwave Background (CMB) anisotropies using a multiple-lens raytracing technique through cosmological N-body simulations of the…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-06 Giulio Fabbian , Matteo Calabrese , Carmelita Carbone

Cosmological Boltzmann codes are often used by researchers for calculating the CMB angular power spectra from different theoretical models, for cosmological parameter estimation, etc. Therefore, the accuracy of a Boltzmann code is of utmost…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-09 Santanu Das , Anh Phan

Gravitational interaction of cosmic microwave background (CMB) photons with matter perturbations present along the line-of-sight to the surface of last scattering modifies the shape of the CMB anisotropy power spectrum. Here I focus on…

Astrophysics · Physics 2011-07-28 Radek Stompor

Anisotropies in the Cosmic Microwave Background (CMB) can be induced during the later stages of cosmic evolution, and in particular during and after the Epoch of Reionisation. Inhomogeneities in the ionised fraction, but also in the baryon…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-15 Christian Fidler , Christophe Ringeval

Future high-sensitivity measurements of the cosmic microwave background (CMB) anisotropies and energy spectrum will be limited by our understanding and modeling of foregrounds. Not only does more information need to be gathered and…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-20 Jens Chluba , J. Colin Hill , Maximilian H. Abitbol

We calculate predictions from wide class of `active' models of cosmic structure formation which allows us to scan the space of possible defect models. We calculate the linear cold dark matter power spectrum and Cosmic Microwave Background…

Astrophysics · Physics 2010-04-08 A. Albrecht , R. A. Battye , J. Robinson