Analytic approach to baryon acoustic oscillations

@article{Montanari2011AnalyticAT,
  title={Analytic approach to baryon acoustic oscillations},
  author={Francesco Montanari and Ruth Durrer},
  journal={Physical Review D},
  year={2011},
  volume={84},
  pages={023522}
}
The fitting formula for the location of the first acoustic peak in the matter power spectrum is revised. We discuss the physics that leads to baryon acoustic oscillations: the recombination history, the tight coupling approximation and the velocity overshoot effect. A new fitting formula is proposed, which is in accordance within 5% with numerical results for a suitable range of cosmological parameters, whereas previous results yield deviations of up to 20%. The crucial improvement turns out to… 

Figures and Tables from this paper

Baryon Acoustic Oscillations . Equation and physical interpretation Baryon Acoustic Oscillations . Equation and physical interpretation
Baryon Acoustic Oscillations are a phenomenon occurred before matter-radiation decoupling, characterized because the baryonic matter perturbation presents oscillations, as the name suggests. These
Interacting photon–baryon fluid, warm dark matter, and the first acoustic peak
The Reduced Relativistic Gas (RRG) model was introduced by A. Sakharov in 1965 for deriving the cosmic microwave background (CMB) spectrum. It was recently reinvented by some of us to achieve an
Detecting baryon acoustic oscillations by 3d weak lensing
We investigate the possibility of detecting baryon acoustic oscillation features in the cosmic matter distribution by 3d weak lensing. Baryon oscillations are inaccessible even to weak lensing
On the 2 feature of the matter two-point function
We point out the existence of a second feature in the matter two-point function, besides the acoustic peak, due to the baryon-baryon correlation in the early universe and positioned at twice the
Analytic Spectra of CMB Anisotropies and Polarization Generated by Scalar Perturbations in Synchronous Gauge
We present a detailed analytical calculation of CMB temperature anisotropies \alpha_k and polarization \beta_k generated by scalar metric perturbations in synchronous gauge, parallel to our previous
General relativistic corrections in density-shear correlations
We investigate the corrections which relativistic light-cone computations induce on the correlation of the tangential shear with galaxy number counts, also known as galaxy-galaxy lensing. The
On the $2^\text{nd}$ feature of the matter two-point function
We point out the existence of a second feature in the matter two-point function, besides the acoustic peak, due to the baryon-baryon correlation in the early universe and positioned at twice the
What do we really know about dark energy?
  • R. Durrer
  • Physics
    Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2011
TLDR
What the authors truly know about dark energy is discussed, it is argued that the single indication for the existence of dark energy comes from distance measurements and their relation to redshift.
Nonstandard Approach to Gravity for the Dark Sector of the Universe
TLDR
Numerical solutions of a nonlinear diff?erential equation for the gravitational potential lead to predictions for the dark matter part of the rotation curves of galaxies in qualitative agreement with observational data.
Measuring the lensing potential with tomographic galaxy number counts
We investigate how the lensing potential can be measured tomographically with future galaxy surveys using their number counts. Such a measurement is an independent test of the standard $\Lambda$CDM
...
...

References

SHOWING 1-10 OF 37 REFERENCES
Baryonic features in the matter transfer function
We provide scaling relations and fitting formulae for adiabatic cold dark matter cosmologies that account for all baryon effects in the matter transfer function to better than 10% in the large-scale
Small scale cosmological perturbations: An Analytic approach
Through analytic techniques verified by numerical calculations, we establish general relations between the matter and cosmic microwave background (CMB) power spectra and their dependence on
Photons and baryons before atoms: Improving the tight-coupling approximation
Prior to recombination photons, electrons, and atomic nuclei rapidly scattered and behaved, almost, like a single tightly-coupled photon-baryon plasma. We investigate here the accuracy of the
Detection of the baryon acoustic peak in the large-scale correlation function of SDSS luminous red galaxies
We present the large-scale correlation function measured from a spectroscopic sample of 46,748 luminous red galaxies from the Sloan Digital Sky Survey. The survey region covers 0.72h −3 Gpc 3 over
How well do we understand cosmological recombination
The major theoretical limitation for extracting cosmological parameters from the cosmic microwave background (CMB) sky lies in the precision with which we can calculate the cosmological recombination
Cosmological parameters from WMAP 5-year temperature maps
I calculate a hybrid cross-power spectrum estimator from the WMAP 5-year CMB temperature maps, discuss the goodness of fit, and then constrain cosmological parameters. The spectrum and results are
Matter temperature during cosmological recombination
The temperature of the atomic matter in the Universe is held to that of the cosmic background radiation until decoupling at z ∼ 100. After this, it cools faster than the radiation [∝ (1 + z) 2 rather
A New Calculation of the Recombination Epoch
We have developed an improved recombination calculation of H, He i, and He ii in the early universe that involves a line-by-line treatment of each atomic level. We find two major differences compared
Anisotropies in the cosmic microwave background : an analytic approach
We introduce a simple yet powerful {\it analytic} method which obtains the structure of cosmic microwave background anisotropies to better than 5-10\% in temperature fluctuations on {\it all} scales.
...
...