Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constraining neutrino mass with weak lensing Minkowski Functionals   The presence of massive neutrinos affects structure formation, leaving
imprints on large-scale structure observables such as the weak lensing field.
The common lensing analyses with two-point statistics are insensitive to the
large amount of non-Gaussian information in the density field. We investigate
non-Gaussian tools, in particular the Minkowski Functionals
(MFs)---morphological descriptors including area, perimeter, and genus---in an
attempt to recover the higher-order information. We use convergence maps from
the Cosmological Massive Neutrino Simulations (\texttt{MassiveNus}) and assume
galaxy noise, density, and redshift distribution for an LSST-like survey. We
show that MFs are sensitive to the neutrino mass sum, and the sensitivity is
redshift dependent and is non-Gaussian. We find that redshift tomography
significantly improves the constraints on neutrino mass for MFs, compared to
the improvements for the power spectrum. We attribute this to the stronger
redshift dependence of neutrino effects on small scales. We then build an
emulator to model the power spectrum and MFs, and study the constraints on
$[M_{\nu}$, $\Omega_{m}$, $A_{s}]$ from the power spectrum, MFs, and their
combination. We show that MFs significantly outperform the power spectrum in
constraining neutrino mass, by more than a factor of four. However, a thorough
study of the impact from systematics such as baryon physics and galaxy shape
and redshift biases will be important to realize the full potential of MFs.

11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th