On the amount of peculiar velocity field information in supernovae from LSST and beyond. (arXiv:1905.00746v1 [astro-ph.CO])
<a href="http://arxiv.org/find/astro-ph/1/au:+Garcia_K/0/1/0/all/0/1">Karolina Garcia</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Quartin_M/0/1/0/all/0/1">Miguel Quartin</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Siffert_B/0/1/0/all/0/1">Beatriz B. Siffert</a>

Peculiar velocities introduce correlations between supernova magnitudes,
which implies that the supernova Hubble diagram residual contains valuable
information on both the present matter power spectrum and its growth rate. In
this paper, by a combination of brute-force exact computations of likelihoods
and Fisher matrix analysis, we parameterize how this estimation depends on
different survey parameters such as its covered area, depth, and duration. This
allows one to understand how survey strategies impact these measurements. For
instance, we show that although this information is peaked in the range $z in
[0, 0.15]$, there is also plenty of information in $z in [0.15, 0.4]$, and for
very high supernova number densities there is even more information in the
latter range. We show that LSST could measure $sigma_8$ with a precision of
13% (7.6%) with 5 (10) years of observations. This precision could increase
further if low-redshift supernova completeness is improved. We also forecast
results considering the extra parameter $gamma$, and show that this creates a
non-linear degeneracy with $sigma_8$ that makes the Fisher matrix analysis
unsuitable. Finally, we discuss the possibility of achieving competitive
results with the current Zwicky Transient Facility.

Peculiar velocities introduce correlations between supernova magnitudes,
which implies that the supernova Hubble diagram residual contains valuable
information on both the present matter power spectrum and its growth rate. In
this paper, by a combination of brute-force exact computations of likelihoods
and Fisher matrix analysis, we parameterize how this estimation depends on
different survey parameters such as its covered area, depth, and duration. This
allows one to understand how survey strategies impact these measurements. For
instance, we show that although this information is peaked in the range $z in
[0, 0.15]$, there is also plenty of information in $z in [0.15, 0.4]$, and for
very high supernova number densities there is even more information in the
latter range. We show that LSST could measure $sigma_8$ with a precision of
13% (7.6%) with 5 (10) years of observations. This precision could increase
further if low-redshift supernova completeness is improved. We also forecast
results considering the extra parameter $gamma$, and show that this creates a
non-linear degeneracy with $sigma_8$ that makes the Fisher matrix analysis
unsuitable. Finally, we discuss the possibility of achieving competitive
results with the current Zwicky Transient Facility.

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