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Spectral distortion of the cosmic microwave background provides a unique opportunity to probe primordial perturbations on very small scales by performing large-scale measurements. We discuss in a systematic and pedagogic way all the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Enrico Pajer , Matias Zaldarriaga

Spectral distortions of the cosmic microwave background (CMB) provide a unique tool for learning about the early phases of cosmic history, reaching deep into the primordial Universe. At redshifts $z<10^6$, thermalization processes become…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-04 Jens Chluba , Andrea Ravenni , Sandeep Kumar Acharya

Energy release in the early Universe leads to spectral distortions of the cosmic microwave background (CMB) which in the future might allow probing different physical processes in the pre-recombination (z>~10^3) epoch. Depending on the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Jens Chluba

The energy spectrum of the cosmic microwave background (CMB) provides a powerful tool for constraining standard and non-standard physics in the primordial Universe. Previous studies mainly highlight spectral distortions (mu-, y- and r-type)…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-04 Jens Chluba

Early energy injection leaves an imprint on the observed blackbody spectrum of the CMB, allowing us to study the thermal history of the Universe. For small energy release, the distortion can be efficiently computed using the quasi-exact…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-23 Sara Evangelista , Jens Chluba , Francesco Pace

Accurate computations of spectral distortions of the cosmic microwave background (CMB) are required for constraining energy release scenarios at redshifts $z\gtrsim 10^3$. The existing literature focuses on distortions that are small…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-17 Sandeep Kumar Acharya , Jens Chluba

Thermal inflation is a second epoch of exponential expansion at typical energy scales $V^{1/4} \sim 10^{6 \sim 8} \mathrm{GeV}$. If the usual primordial inflation is followed by thermal inflation, the primordial power spectrum is only…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-09 Kihyun Cho , Sungwook E. Hong , Ewan D. Stewart , Heeseung Zoe

The dissipation of small-scale perturbations in the early universe produces a distortion in the blackbody spectrum of cosmic microwave background photons. In this work, we propose to use these distortions as a probe of the microphysics of…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-13 James A. D. Diacoumis , Yvonne Y. Y. Wong

We calculate numerical solutions and analytic approximations for the intermediate-type spectral distortions. Detection of a \mu-type distortion (saturated comptonization) in the CMB will constrain the time of energy injection to be at a…

Cosmology and Nongalactic Astrophysics · Physics 2012-09-14 Rishi Khatri , Rashid A. Sunyaev

This paper presents a novel approach to constrain the $\mu$- and y- distortions in the Cosmic Microwave Background (CMB) using the COBE/FIRAS data. The analysis draws from the concept of blackbody radiation inversion (BRI), a mathematical…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-06 Somita Dhal , Koustav Konar , R. K. Paul

Spectral distortions of the cosmic microwave background (CMB) have been recognized as an important future probe of the early Universe. Existing theoretical studies primarily focused on describing the evolution and creation of average…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-19 Jens Chluba , Thomas Kite , Andrea Ravenni

Spectral distortions of the cosmic microwave background (CMB) may become a powerful probe of primordial perturbations at small scales. Existing studies of spectral distortions focus almost exclusively on primordial scalar metric…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Jens Chluba , Liang Dai , Daniel Grin , Mustafa A. Amin , Marc Kamionkowski

Thermal distribution functions can only be of the Fermi-Dirac or Bose-Einstein types, whereas distorted spectra encompass any possible deviations from these shapes. It is fruitful to devise parametrizations of these distortions with only a…

High Energy Physics - Phenomenology · Physics 2026-03-27 Gabriela Barenboim , Julien Froustey , Cyril Pitrou , Héctor Sanchis

The damping of primordial perturbations at small scales gives rise to distortions of the cosmic microwave background (CMB). Here, the dependence of the distortion on the different types of cosmological initial conditions is explored,…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-18 Jens Chluba , Daniel Grin

The spectral distortion of the cosmic background radiation produced by the inverse Compton scattering on hot electrons in clusters of galaxies (thermal Sunyaev-Zeldovich effect) is calculated for arbitrary optical depth and electron…

Astrophysics · Physics 2009-10-31 A. D. Dolgov , S. H. Hansen , S. Pastor , D. V. Semikoz

The sky-averaged Compton-$y$ distortion in the cosmic microwave background (CMB) energy spectrum, $\langle y \rangle$, provides information about energy injection in the Universe occurring at $z \lesssim 5\times10^{4}$. It is primarily…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-07 Alina Sabyr , Giulio Fabbian , J. Colin Hill , Federico Bianchini

Departures of the Cosmic Microwave Background (CMB) frequency spectrum from a blackbody - commonly referred to as spectral distortions - encode information about the thermal history of the early Universe (redshift z < few x 10^6). While the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Jens Chluba , Donghui Jeong

We derive general expressions of the $C^{\mu X}_l$, the cross correlation function between the cosmic microwave background spectral $\mu$ distortion and the linear perturbations in the cosmic microwave background such as the temperature…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-30 Atsuhisa Ota

The energy spectrum of the cosmic microwave background (CMB) allows constraining episodes of energy release in the early Universe. In this paper we revisit and refine the computations of the cosmological thermalization problem. For this…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 J. Chluba , R. A. Sunyaev

Measurements of cosmic microwave background spectral distortions have profound implications for our understanding of physical processes taking place over a vast window in cosmological history. Foreground contamination is unavoidable in such…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-03 Maximilian H. Abitbol , Jens Chluba , J. Colin Hill , Bradley R. Johnson
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