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We extend the recent boost operator formalism for relativistic Compton scattering calculations to also account for polarization. This allows us to provide general, exact expressions for the polarized Sunyaev-Zeldovich (SZ) effect sourced…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-17 Erik Rosenberg , Jens Chluba

New generation ground and space-based CMB experiments have ushered in discoveries of massive galaxy clusters via the Sunyaev-Zeldovich (SZ) effect, providing a new window for studying cluster astrophysics and cosmology. Many of the newly…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Jens Chluba , Daisuke Nagai , Sergey Sazonov , Kaylea Nelson

We extend the formalism of the relativistic thermal Sunyaev-Zel'dovich effect to the system moving with a velocity beta (= v/c) with respect to the cosmic microwave background radiation. In the present formalism, the kinematic…

Astrophysics · Physics 2011-02-11 Satoshi Nozawa , Naoki Itoh , Yasuharu Kohyama

The Sunyaev-Zeldovich (SZ) effect is a window into the astrophysical processes of galaxy clusters, and relativistic corrections (the "rSZ") promise to provide a global census of the gas feedback within clusters. Upcoming wide-field…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-13 L. Kuhn , Z. Li , William R. Coulton

Future high resolution, high sensitivity Sunyaev-Zeldovich (SZ) observations of individual clusters will provide an exciting opportunity to answer specific questions about the dynamical state of the intra-cluster medium (ICM). In this paper…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Jens Chluba , Eric R. Switzer , Daisuke Nagai , Kaylea Nelson

The Sunyaev-Zel'dovich effect is a powerful tool for cosmology that can be used to measure the radial peculiar velocities of galaxy clusters, and thus to test, and constrain, theories of structure formation and evolution. This requires, in…

Astrophysics · Physics 2009-11-06 N. Aghanim , K. M. Górski , J. -L. Puget

Various aspects of relativistic calculations of the Sunyaev-Zeldovich effect are explored and clarified. We first formally show that the main previous approaches to the calculation of the relativistically generalized thermal component of…

Astrophysics · Physics 2015-06-24 Meir Shimon , Yoel Rephaeli

The Sunyaev-Zeldovich (SZ) effect has long been recognized as a powerful cosmological probe. Using the BAHAMAS and MACSIS simulations to obtain $>10,000$ simulated galaxy groups and clusters, we compute three temperature measures and…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-03 Elizabeth Lee , Jens Chluba , Scott T. Kay , David J. Barnes

Measurements of the thermal Sunyaev-Zel'dovich (tSZ) effect have long been recognized as a powerful cosmological probe. Here we assess the importance of relativistic temperature corrections to the tSZ signal on the power spectrum analysis…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-19 Mathieu Remazeilles , Boris Bolliet , Aditya Rotti , Jens Chluba

The Sunyaev-Zeldovich (SZ) effect is a powerful tool in modern cosmology. With future observations promising ever improving SZ measurements, the relativistic corrections to the SZ signals from galaxy groups and clusters are increasingly…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-12 Elizabeth Lee , Dhayaa Anbajagane , Priyanka Singh , Jens Chluba , Daisuke Nagai , Scott T. Kay , Weiguang Cui , Klaus Dolag , Gustavo Yepes

A significant cosmological radio background will inevitably lead to a radio Sunyaev-Zeldovich (SZ) effect. In the simplest limit, the combined signal from the scattered radio and cosmic microwave background exhibits a null at around $\nu…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-06 Elizabeth Lee , Jens Chluba , Gilbert P. Holder

In recent years, observations of the Sunyaev-Zeldovich (SZ) effect have had significant cosmological implications and have begun to serve as a powerful and independent probe of the warm and hot gas that pervades the Universe. As a few…

We extend the formalism of the relativistic thermal and kinematical Sunyaev-Zeldovich effects to the observer's system (the Solar System) moving with a velocity $\beta_{S}$ with respect to the cosmic microwave background radiation. We…

Astrophysics · Physics 2009-11-10 Satoshi Nozawa , Naoki Itoh , Yasuharu Kohyama

The hot gas in clusters of galaxies creates a distinctive spectral distortion in the cosmic microwave background (CMB) via the Sunyaev-Zeldovich (SZ) effect. To first order, the shape of the spectral distortion is fixed, but relativistic…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-13 Adam D. Hincks , Ricardo Génova-Santos , Gemma Luzzi , Elia Stefano Battistelli

Analytical expressions are presented for relativistic corrections to the Kompaneets equation and the Sunyaev-Zel'dovich y-distortion. The latter provides a convenient method of inferring both the temperature and Thomson optical depth of the…

Astrophysics · Physics 2007-05-23 Albert Stebbins

The transformation of radiation signals (e.g., photon occupation number and integrated intensity) between moving frames is a common task is physics, astrophysics and cosmology. Here we show that the required boost operator, relating the…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-06 Jens Chluba , Andrea Ravenni

The Sunyaev-Zel'dolvich (SZ) effect is expected to be instrumental in measuring velocities of distant clusters in near future telescope surveys. We simplify the calculation of peculiar velocities of galaxy clusters using deep learning…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-30 Yuyu Wang , Nesar Ramachandra , Edgar M. Salazar-Canizales , Hume A. Feldman , Richard Watkins , Klaus Dolag

The Sunyaev-Zeldovich (SZ) effect is a promising tool to study physical properties of the hot X-ray emitting intracluster medium (ICM) in galaxy clusters. To date, most SZ observations have been interpreted in combination with X-ray…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Andrea Morandi , Daisuke Nagai , Wei Cui

The thermal Sunyaev$-$Zel'dovich (SZ) effect offers a unique probe of the hot and diffuse universe that could help close the missing baryon problem. Traditional extractions of the SZ effect, however, exhibit systematic noise that may lead…

Instrumentation and Methods for Astrophysics · Physics 2025-09-09 Cameron T. Pratt , Zhijie Qu , Joel N. Bregman

The Sunyaev-Zeldovich (SZ) effect has proven to be an extremely powerful tool to study the physical and evolutionary properties of rich clusters of galaxies. Upcoming SZ experiments, with their much improved sensitivity and angular…

Astrophysics · Physics 2009-11-10 G. De Zotti , C. Burigana , A. Cavaliere , L. Danese , G. L. Granato , A. Lapi , P. Platania , L. Silva
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