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In this work we derive the covariant and gauge invariant perturbation equations in general theories of $f(R)$ gravity in the Palatini formalism to linear order and calculate the cosmic microwave background (CMB) and matter power spectra for…

Astrophysics · Physics 2008-11-26 Baojiu Li , K. C. Chan , M. -C. Chu

A stochastic gravitational wave background (SGWB) will affect the CMB anisotropies via weak lensing. Unlike weak lensing due to large scale structure which only deflects photon trajectories, a SGWB has an additional effect of rotating the…

Cosmology and Nongalactic Astrophysics · Physics 2016-09-21 Shabbir Shaikh , Suvodip Mukherjee , Aditya Rotti , Tarun Souradeep

We consider evidence for deviations from General Relativity (GR) in the growth of large scale structure, using two parameters, $\gamma$ and $\eta$, to quantify the modification. We consider the Integrated Sachs-Wolfe effect (ISW) in the…

Cosmology and Nongalactic Astrophysics · Physics 2010-03-10 Rachel Bean

Constraints on neutrino masses are estimated based on future observations of the cosmic microwave background (CMB) including the B-mode polarization produced by CMB lensing using the Planck satellite, and baryon acoustic oscillations…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-13 Koichi Hirano

The Cosmic Microwave Background (CMB) is a fundamental observational tool in modern cosmology. The linear polarization of the CMB provides a crucial observational tool for exploring new physics, including the inflationary paradigm and…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-12 Vyoma Muralidhara

Weak lensing of galaxies by large scale structure can potentially measure cosmological quantities as accurately as the cosmic microwave background (CMB). However, the relation between observables and fundamental parameters is more complex…

Astrophysics · Physics 2009-10-31 Wayne Hu , Max Tegmark

We evaluate the contribution of cosmic microwave background (CMB) polarization spectra to cosmological parameter constraints. We produce cosmological parameters using high-quality CMB polarization data from the ground-based QUaD experiment…

The primordial B-modes component of the cosmic microwave background (CMB) polarization is a promising experimental dataset to probe the inflationary paradigm. B-modes are indeed a direct consequence of the presence of gravitational waves in…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-28 Alessandro Manzotti

We demonstrate how to obtain optimal constraints on a primordial gravitational wave component in lensed Cosmic Microwave Background (CMB) data under ideal conditions. We first derive an estimator of the tensor-to-scalar ratio, $r$, by using…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-20 Julien Carron

A conventional explanation of the dipole anisotropy of the cosmic microwave background (CMB) radiation is in terms of the Doppler effect: our galaxy is moving with respect to CMB frame with $ \sim 600 ~ km ~ s^{-1} $. However, as the deep…

Astrophysics · Physics 2007-05-23 M. Jaroszynski , B. Paczynski

Recent analyses combining cosmic microwave background (CMB) and baryon acoustic oscillation (BAO) challenge particle physics constraints on the total neutrino mass, pointing to values smaller than the lower limit from neutrino oscillation…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-05 Andrea Cozzumbo , Mattia Atzori Corona , Riccardo Murgia , Maria Archidiacono , Matteo Cadeddu

It is known that the Cosmic Microwave Background (CMB) temperature fluctuations are modified by gravitational lensing since the angular positions of photons are altered by the metric perturbations. We reconsider this effect in the context…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Ali Kaya

The cosmic microwave background (CMB) anisotropy possesses the remarkable property that its power is strongly suppressed on large angular scales. This observational fact can naturally be explained by cosmological models with a non-trivial…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Ralf Aurich , Sven Lustig

The Cosmic Microwave Background (CMB) provides a precious window on fundamental physics at very high energy scales, possibly including quantum gravity, GUTs and supersymmetry. The CMB has already enabled defect-based rivals to inflation to…

Astrophysics · Physics 2009-09-11 John Ellis

Circular polarization in the cosmic microwave background (CMB) offers a promising probe of the parity-violating physics of the early universe. In this paper, we propose a novel method to constrain the primordial circular polarization of…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-24 Ashu Kushwaha , Rajeev Kumar Jain

In this work, we construct foreground-marginalised versions of the SPT-3G D1 and SPTpol cosmic microwave background (CMB) B-mode polarisation likelihoods. The compression is performed using the CMB-lite framework and we use the resulting…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-18 L. Balkenhol , A. Coerver , C. L. Reichardt , J. A. Zebrowski

Since the B-mode polarization of the cosmic microwave background (CMB) was detected by the BICEP2 experiment and an unexpectedly large tensor-to-scalar ratio, $r=0.20^{+0.07}_{-0.05}$, was found, the base standard cosmology should at least…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-22 Jing-Fei Zhang , Yun-He Li , Xin Zhang

We present a constraint on the tensor-to-scalar ratio, $r$, derived from measurements of cosmic microwave background (CMB) polarization $B$-modes with "delensing," whereby the uncertainty on $r$ contributed by the sample variance of the…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-02 BICEP/Keck , SPTpol Collaborations , : , P. A. R. Ade , Z. Ahmed , M. Amiri , A. J. Anderson , J. E. Austermann , J. S. Avva , D. Barkats , R. Basu Thakur , J. A. Beall , A. N. Bender , B. A. Benson , F. Bianchini , C. A. Bischoff , L. E. Bleem , J. J. Bock , H. Boenish , E. Bullock , V. Buza , J. E. Carlstrom , C. L. Chang , J. R. Cheshire , H. C. Chiang , T-L. Chou , R. Citron , J. Connors , C. Corbett Moran , J. Cornelison , T. M. Crawford , A. T. Crites , M. Crumrine , A. Cukierman , T. de Haan , M. Dierickx , M. A. Dobbs , L. Duband , W. Everett , S. Fatigoni , J. P. Filippini , S. Fliescher , J. Gallicchio , E. M. George , T. St. Germaine , N. Goeckner-Wald , D. C. Goldfinger , J. Grayson , N. Gupta , G. Hall , M. Halpern , N. W. Halverson , S. Harrison , S. Henderson , J. W. Henning , S. R. Hildebrandt , G. C. Hilton , G. P. Holder , W. L. Holzapfel , J. D. Hrubes , N. Huang , J. Hubmayr , H. Hui , K. D. Irwin , J. Kang , K. S. Karkare , E. Karpel , S. Kefeli , S. A. Kernasovskiy , L. Knox , J. M. Kovac , C. L. Kuo , K. Lau , A. T. Lee , E. M. Leitch , D. Li , A. Lowitz , A. Manzotti , J. J. McMahon , K. G. Megerian , S. S. Meyer , M. Millea , L. M. Mocanu , L. Moncelsi , J. Montgomery , A. Nadolski , T. Namikawa , T. Natoli , C. B. Netterfield , H. T. Nguyen , J. P. Nibarger , G. Noble , V. Novosad , R. O'Brient , R. W. Ogburn , Y. Omori , S. Padin , S. Palladino , S. Patil , T. Prouve , C. Pryke , B. Racine , C. L. Reichardt , C. D. Reintsema , S. Richter , J. E. Ruhl , B. R. Saliwanchik , K. K. Schaffer , A. Schillaci , B. L. Schmitt , R. Schwarz , C. D. Sheehy , C. Sievers , G. Smecher , A. Soliman , A. A. Stark , B. Steinbach , R. V. Sudiwala , G. P. Teply , K. L. Thompson , J. E. Tolan , C. Tucker , A. D. Turner , C. Umiltà , T. Veach , J. D. Vieira , A. G. Vieregg , A. Wandui , G. Wang , A. C. Weber , N. Whitehorn , D. V. Wiebe , J. Willmert , C. L. Wong , W. L. K. Wu , H. Yang , V. Yefremenko , K. W. Yoon , E. Young , C. Yu , L. Zeng , C. Zhang

We perform a joint likelihood analysis of the power spectra of the 2dF Galaxy Redshift Survey (2dFGRS) and the cosmic microwave background (CMB) anisotropies under the assumptions that the initial fluctuations were adiabatic, Gaussian and…

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