Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Possible cosmogenic neutrino constraints on Planck-scale Lorentz
  violation   We study, within an effective field theory framework, $O(E^{2}/\Mpl^{2})$
Planck-scale suppressed Lorentz invariance violation (LV) effects in the
neutrino sector, whose size we parameterize by a dimensionless parameter
$\eta_{\nu}$. We find deviations from predictions of Lorentz invariant physics
in the cosmogenic neutrino spectrum. For positive O(1) coefficients no neutrino
will survive above $10^{19} \eV$. The existence of this cutoff generates a bump
in the neutrino spectrum at energies of $10^{17} \eV$. Although at present no
constraint can be cast, as current experiments do not have enough sensitivity
to detect ultra-high-energy neutrinos, we show that experiments in construction
or being planned have the potential to cast limits as strong as $\eta_{\nu}
\lesssim 10^{-4}$ on the neutrino LV parameter, depending on how LV is
distributed among neutrino mass states. Constraints on $\eta_{\nu} < 0$ can in
principle be obtained with this strategy, but they require a more detailed
modeling of how LV affects the neutrino sector.

4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int