Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Effective Field Theory of Large-Scale Structure in the presence of
  Massive Neutrinos   We develop a formalism to analytically describe the clustering of matter in
the mildly non-linear regime in the presence of massive neutrinos. Neutrinos,
whose free streaming wavenumber ($k_{\rm fs}$) is typically longer than the
non-linear scale ($k_{\rm NL}$) are described by a Boltzmann equation coupled
to the effective fluid-like equations that describe dark matter. We solve the
equations expanding in the neutrino density fraction $(f_\nu)$ and in $k/
k_{\rm NL}$, and add suitable counterterms to renormalize the theory. This
allows us to describe the contribution of short distances to long-distance
observables. Equivalently, we construct an effective Boltzmann equation where
we add additional terms whose coefficients renormalize the contribution from
short-distance physics. We argue that neutrinos with $k_{\rm fs}\gtrsim k_{\rm
NL}$ require an additional counterterm similar to the speed of sound ($c_s$)
for dark matter. We compute the one-loop total-matter power spectrum, and find
that it is roughly equal to $16f_\nu$ times the dark matter one for $k$'s
larger that the typical $k_{\rm fs}$. It is about half of that for smaller
$k$'s. The leading contribution results from the back-reaction of the neutrinos
on the dynamics of the dark matter. The counterterms contribute in a
hierarchical way: the leading ones can either be computed in terms of $c_s$, or
can be accounted for by shifting $c_s$ by an amount proportional to $f_\nu$.

28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
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The categories of this paper are: eess
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an