# Lensing smoothing of BAO wiggles

## Abstract

We study non-perturbatively the effect of the deflection angle on the BAO wiggles of the matter power spectrum in real space. We show that from redshift z ∼2 this introduces a dispersion of roughly 1 Mpc at BAO scale, which corresponds approximately to a 1% effect. The lensing effect induced by the deflection angle, which is completely geometrical and survey independent, smears out the BAO wiggles. The effect on the power spectrum amplitude at BAO scale is about 0.1 % for z ∼2 and 0.2 % for z ∼4. We compare the smoothing effects induced by the lensing potential and non-linear structure formation, showing that the two effects become comparable at z ∼ 4, while the lensing effect dominates for sources at higher redshifts. We note that this effect is not accounted through BAO reconstruction techniques.

- Authors:

- INAF—Osservatorio Astronomico di Trieste, Via G.B. Tiepolo 11, I-34143 Trieste (Italy)

- Publication Date:

- OSTI Identifier:
- 22679986

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2017; Journal Issue: 03; Other Information: Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; AMPLITUDES; APPROXIMATIONS; COMPARATIVE EVALUATIONS; DENSITY; DISPERSIONS; FLUCTUATIONS; GRAVITATIONAL LENSES; NONLINEAR PROBLEMS; RED SHIFT; RELATIVISTIC RANGE; SPACE; SPECTRA

### Citation Formats

```
Dio, Enea Di, E-mail: enea.didio@oats.inaf.it.
```*Lensing smoothing of BAO wiggles*. United States: N. p., 2017.
Web. doi:10.1088/1475-7516/2017/03/016.

```
Dio, Enea Di, E-mail: enea.didio@oats.inaf.it.
```*Lensing smoothing of BAO wiggles*. United States. doi:10.1088/1475-7516/2017/03/016.

```
Dio, Enea Di, E-mail: enea.didio@oats.inaf.it. Wed .
"Lensing smoothing of BAO wiggles". United States.
doi:10.1088/1475-7516/2017/03/016.
```

```
@article{osti_22679986,
```

title = {Lensing smoothing of BAO wiggles},

author = {Dio, Enea Di, E-mail: enea.didio@oats.inaf.it},

abstractNote = {We study non-perturbatively the effect of the deflection angle on the BAO wiggles of the matter power spectrum in real space. We show that from redshift z ∼2 this introduces a dispersion of roughly 1 Mpc at BAO scale, which corresponds approximately to a 1% effect. The lensing effect induced by the deflection angle, which is completely geometrical and survey independent, smears out the BAO wiggles. The effect on the power spectrum amplitude at BAO scale is about 0.1 % for z ∼2 and 0.2 % for z ∼4. We compare the smoothing effects induced by the lensing potential and non-linear structure formation, showing that the two effects become comparable at z ∼ 4, while the lensing effect dominates for sources at higher redshifts. We note that this effect is not accounted through BAO reconstruction techniques.},

doi = {10.1088/1475-7516/2017/03/016},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 03,

volume = 2017,

place = {United States},

year = {Wed Mar 01 00:00:00 EST 2017},

month = {Wed Mar 01 00:00:00 EST 2017}

}