Extended Fast Action Minimisation method: application to SDSS-DR12 Combined Sample. (arXiv:2010.10456v1 [astro-ph.CO])

<a href="http://arxiv.org/find/astro-ph/1/au:+Sarpa_E/0/1/0/all/0/1">E. Sarpa</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Veropalumbo_A/0/1/0/all/0/1">A. Veropalumbo</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Schimd_C/0/1/0/all/0/1">C. Schimd</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Branchini_E/0/1/0/all/0/1">E. Branchini</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Matarrese_S/0/1/0/all/0/1">S. Matarrese</a>

We present the first application of the extended Fast Action Minimization

method (eFAM) to a real dataset, the SDSS-DR12 Combined Sample, to reconstruct

galaxies orbits back-in-time, their two-point correlation function (2PCF) in

real-space, and enhance the baryon acoustic oscillation (BAO) peak. For this

purpose, we introduce a new implementation of eFAM that accounts for selection

effects, survey footprint, and galaxy bias. We use the reconstructed BAO peak

to measure the angular diameter distance, D_A(z)r^{fid}_s/r_s, and the Hubble

parameter, H(z)r_s/r^{fid}_s, normalized to the sound horizon scale for a

fiducial cosmology r^{fid}_s, at the mean redshift of the sample z=0.38,

obtaining D_A(z=0.38)r^{fid}_s/r_s=1090 +/- 29 (Mpc)^{-1}, and

H(z=0.38)r_s}/r^{fid}_s=83 +/- 3 (km s^{-1}Mpc^{-1}), in agreement with

previous measurements on the same dataset. The validation tests, performed

using 400 publicly available SDSS-DR12 mock catalogues, reveal that eFAM

performs well in reconstructing the 2PCF down to separations of 25h^{-1}Mpc$,

i.e. well into the non-linear regime. Besides, eFAM successfully removes the

anisotropies due to redshift-space distortion at all redshifts including that

of the survey, allowing us to decrease the number of free parameters in the

model and fit the full-shape of the back-in-time reconstructed 2PCF well beyond

the BAO peak. Recovering the real-space 2PCF, eFAM improves the precision on

the estimates of the fitting parameters. When compared with the

no-reconstruction case, eFAM reduces the uncertainty of the Alcock-Paczynski

distortion parameters of about 40% and that on the non-linear damping scale of

about 70%. These results show that eFAM can be successfully applied to existing

redshift galaxy catalogues and should be considered as a reconstruction tool

for next-generation surveys alternative to popular methods based on the

Zel’dovich approximation.

We present the first application of the extended Fast Action Minimization

method (eFAM) to a real dataset, the SDSS-DR12 Combined Sample, to reconstruct

galaxies orbits back-in-time, their two-point correlation function (2PCF) in

real-space, and enhance the baryon acoustic oscillation (BAO) peak. For this

purpose, we introduce a new implementation of eFAM that accounts for selection

effects, survey footprint, and galaxy bias. We use the reconstructed BAO peak

to measure the angular diameter distance, D_A(z)r^{fid}_s/r_s, and the Hubble

parameter, H(z)r_s/r^{fid}_s, normalized to the sound horizon scale for a

fiducial cosmology r^{fid}_s, at the mean redshift of the sample z=0.38,

obtaining D_A(z=0.38)r^{fid}_s/r_s=1090 +/- 29 (Mpc)^{-1}, and

H(z=0.38)r_s}/r^{fid}_s=83 +/- 3 (km s^{-1}Mpc^{-1}), in agreement with

previous measurements on the same dataset. The validation tests, performed

using 400 publicly available SDSS-DR12 mock catalogues, reveal that eFAM

performs well in reconstructing the 2PCF down to separations of 25h^{-1}Mpc$,

i.e. well into the non-linear regime. Besides, eFAM successfully removes the

anisotropies due to redshift-space distortion at all redshifts including that

of the survey, allowing us to decrease the number of free parameters in the

model and fit the full-shape of the back-in-time reconstructed 2PCF well beyond

the BAO peak. Recovering the real-space 2PCF, eFAM improves the precision on

the estimates of the fitting parameters. When compared with the

no-reconstruction case, eFAM reduces the uncertainty of the Alcock-Paczynski

distortion parameters of about 40% and that on the non-linear damping scale of

about 70%. These results show that eFAM can be successfully applied to existing

redshift galaxy catalogues and should be considered as a reconstruction tool

for next-generation surveys alternative to popular methods based on the

Zel’dovich approximation.

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