Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measuring neutrino masses with large-scale structure: Euclid forecast
  with controlled theoretical error   We present a Markov-Chain Monte-Carlo (MCMC) forecast for the precision of
neutrino mass and cosmological parameter measurements with a Euclid-like galaxy
clustering survey. We use a complete perturbation theory model for the galaxy
one-loop power spectrum and tree-level bispectrum, which includes bias,
redshift space distortions, IR resummation for baryon acoustic oscillations and
UV counterterms. The latter encapsulate various effects of short-scale dynamics
which cannot be modeled within perturbation theory. Our MCMC procedure
consistently computes the non-linear power spectra and bispectra as we scan
over different cosmologies. The second ingredient of our approach is the
theoretical error covariance which captures uncertainties due to higher-order
non-linear corrections omitted in our model. Having specified characteristics
of a Euclid-like spectroscopic survey, we generate and fit mock galaxy power
spectrum and bispectrum likelihoods. Our results suggest that even under very
agnostic assumptions about non-linearities and short-scale physics a future
Euclid-like survey will be able to measure the sum of neutrino masses with a
standard deviation of 28 meV. When combined with the Planck cosmic microwave
background likelihood, this uncertainty decreases to 13 meV.
Over-optimistically reducing the theoretical error on the bispectrum down to
the two-loop level marginally tightens this bound to 11 meV. Moreover, we show
that the future large-scale structure (LSS) spectroscopic data will greatly
improve constraints on the other cosmological parameters, e.g. reaching a
percent (per mille) error on the Hubble constant with LSS alone (LSS + Planck).

15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn