1609.08613
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: higher correlations revealed by germ-grain Minkowski Functionals
Wiegland, Eisenstein
Probe the higher-order clustering of the galaxies in the final data release (DR12) of SDSS BOSS using the method of germ-grain Minkowski Functionals (MFs). The sample consists of 410k BOSS galaxies from the northern Galactic cap in the redshift range 0.450-0.595. Show the MFs to be sensitive to contributions up to the 6-pt correlation function for this data set. Ensure with a custom angular mask that the results are more independent of boundary effects than in previous analyses of this type. Extract the higher-order part of the MFs and quantify the difference to the case without higher-order correlations. The resulting chi2 value of over 10,000 for a modest number of degrees of freedom, O(200), indicates a 100-sigma deviation and demonstrates that there is a highly significant signal of the non-Gaussian contributions to the galaxy distribution. This statistical power can be useful in testing models with differing higher-order correlations. Comparing the galaxy data to the QPM and MutiDark-Patchy mocks, find that the latter better describes the observed structure. From an order-by-order decomposition it is expected that, for example, already a reduction of the amplitude of the MD-patchy mock power spectrum by 5% would remove the remaining tension.
1609.08632
A marked correlation function for constraining modified gravity models
White
Future large scale structure surveys will provide increasingly tight constraints on the cosmo model. These surveys will report results on the distance scale and growth rate of perturbations through measurements of BAO and RSD. It is interesting to ask: what further analyses should become routine, so as to test as-yet-unknown models of cosmic acceleration? Models which aim to explain the accelerated expansion rate of the Universe by modifications to GR often invoke screening mechanisms which can imprint a non-standard density dependence on their predictions. This suggests density-dependent clustering as a 'generic' constraint. This paper argues that a density-marked correlation function provides a density-dependent statistic which is easy to compute and report and requires minimal additional infrastructure beyond what is routinely available to such survey analysis. Give one realization of this idea and study it using low order perturbation theory. Encourage groups developing modified gravity theories to see whether such statistics provide discriminatory power for their models.
1609.00944
Lensing smoothing of BAO wiggles
Dio
Study non-perturbatively the effect of the deflection angle on the BAO wiggles of the matter power spectrum in real space. Show that from 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. 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. Note that this effect is not accounted through BAO reconstruction techniques.