56c56 < \title{Search for ultra-high-energy cosmic neutrinos with the IceCube neutrino observatory} --- > \title{Search for Ultra-high energy cosmic neutrinos with the IceCube neutrino observatory} 77c77 < A search for extremely-high-energy (EHE) neutrinos with energies greater than $10^6$~GeV --- > A search for extremely-high energy (EHE) neutrinos with energies greater than $10^6$~GeV 79c79 < between May 2010 and May 2012. Two neutrino-induced cascade events are --- > between May 2010 and May 2012. Two neutrino induced cascade events are 85c85 < An upper limit on the neutrino flux in the energy range above $10^6$~GeV is obtained from the observations. --- > An upperlimit on the neutrino flux in the energy above $10^6$~GeV is obtained from the observations. 87c87 < ultra-high-energy cosmic-ray sources such as AGNs associated with radio-loud jets. --- > ultra-high energy cosmic-ray sources such as AGNs associated with radio-loud jets. 101c101 < The origin of the ultra-high-energy cosmic-rays (UHECRs) has been a long-standing --- > The origin of the ultra-high energy cosmic-rays (UHECRs) has been a long-standing 111c111 < propagation of ultra-high-energy cosmic-rays (UHECRs) with energies reaching up --- > propagation of ultra-high energy cosmic-rays (UHECRs) with energies reaching up 117c117 < A measurement of the cosmogenic neutrinos probes the yet-unknown UHECR origin --- > A measurement of the cosmogenic neutrinos probes yet-unknown UHECR origin 121,123c121,123 < The main energy-emission range of the GZK cosmogenic neutrinos < is predicted to be around EeV ($10^{18}$~eV)~\cite{yoshida93,ESS}. < The cosmogenic production has been considered as a main source to emit extremely-high-energy (EHE) --- > The main energy emission range of the GZK cosmogenic neutrinos > are predicted to be around EeV ($10^{18}$~eV)~\cite{yoshida93,ESS}. > The cosmogenic production has been considered as a main source to emit extremely-high energy (EHE) 131,132c131,132 < as well as the omni-directional neutrino-detection capability < have extended the sensitivity into energy regimes even beyond EeV --- > as well as the omni-directional neutrino detection capability > have extended the sensitivity into energy regime even beyond EeV 188c188 < satellite when the NPE of the event is larger than 1000. A total of 4.5$\times 10^7$ and 6.3$\times 10^7$ --- > satellite when NPE of the event is larger than 1000. A total of 4.5$\times 10^7$ and 6.3$\times 10^7$ 192c192 < For a blind analysis we used approximately 10\% of the total experimental sample --- > For a blind analysis we used approximately 10\% of total experimental sample 201,203c201,203 < The dominant class by event number is that containing muon bundles, made up of a large < number of muons produced by high energy cosmic-ray interactions in the atmosphere. < The other class is that containing atmospheric neutrinos. The muon bundle was simulated with the CORSIKA --- > Dominated in the event number are muon bundles made up of a large > number of muons produced by high energy cosmic-ray interactions in the atmosphere, and > the other are atmospheric neutrinos. The muon bundle was simulated with the CORSIKA 205c205 < with the pure-iron primary-cosmic-ray composition. --- > with the pure-iron primary cosmic-ray composition. 222c222 < In this analysis-level sample, a total of $5.0\times 10^5$ and $6.3\times 10^5$ --- > In this analysis level sample, a total of $5.0\times 10^5$ and $6.3\times 10^5$ 239c239 < event rates at the final selection level are given as asymmetric errors. --- > event rates at the final selection level are given as asymmetric error. 263c263 < \caption{Event number distributions in the plane of NPE and energies of neutrino-induced muons (left) --- > \caption{Event number distributions in the plane of NPE and energies of neutrino-induced muon (left) 265,266c265,266 < The particle-energy distribution is assumed to follow $E^{-1}$ in these plots for illustrative purposes. < The muon and neutrino energies are given when a particle intersects a radius of 880~m from the IceCube center. --- > The particle energy distribution is assumed to follow $E^{-1}$ in these plots for illustrative purposes. > The muon and neutrino energies are given when particle intersects a radius of 880~m from the IceCube center. 269,270c269,270 < \includegraphics[width=1.50in]{figure/NPEVsEnergyMuE1.pdf} < \includegraphics[width=1.50in]{figure/NPEVsEnergyCascadeE1.pdf} --- > \includegraphics[width=1.50in]{figure/NPEVsEnergyMuE1.eps} > \includegraphics[width=1.50in]{figure/NPEVsEnergyCascadeE1.eps} 276,278c276,278 < \includegraphics[width=1.85in]{figure/AnalysisLevelIC86NPE.pdf} < \includegraphics[width=1.85in]{figure/AnalysisLevelIC86CosTheta.pdf} < \caption{Event-number distributions are shown as functions of NPE --- > \includegraphics[width=1.85in]{figure/AnalysisLevelIC86NPE.eps} > \includegraphics[width=1.85in]{figure/AnalysisLevelIC86CosTheta.eps} > \caption{Event number distributions are shown as functions of NPE 283c283 < for the livetime of the test samples of the experimental data (20.8 days). --- > for livetime of the test samples of the experimental data (20.8 days). 286,287c286,287 < Each component of the background (single and coincident atmospheric muons, conventional < and prompt atmospheric neutrinos) is also shown separately.} --- > Each component of the background, single and coincident atmospheric muon, conventional > and prompt atmospheric neutrinos are also shown separately.} 292,293c292,293 < As the energy spectrum of background atmospheric muons and neutrinos falls steeply with energy, < cosmogenic neutrino fluxes dominate over background in the high-energy region. --- > As the energy spectrum of background atmospheric muon and neutrinos falls steeply with energy, > cosmogenic neutrino fluxes dominate over background in the high energy region. 301c301 < Figure~\ref{fig:energyNPE} presents the simulated analysis-level distribution of NPE recorded by IC86 as a --- > Figure~\ref{fig:energyNPE} presents the simulated analysis level distribution of NPE recorded by IC86 as 309c309 < Figure~\ref{fig:analysislevel} displays the NPE and reconstructed zenith-angle distributions --- > Figure~\ref{fig:analysislevel} displays the NPE and reconstructed zenith angle distributions 316c316 < IC79 and IC86, the resultant anglar resolution is approximately $\sim 1$ degree --- > IC79, and IC86, the resultant anglar resolution is approximately $\sim 1$ degree 318c318 < which is sufficient to remove atmospheric muon-bundle background events in the current analysis. --- > which is sufficient to remove atmospheric muon bundle background events in the current analysis. 328,331c328,331 < \includegraphics[width=1.7in]{figure/AnalysisLevel2D_IC86Data.pdf} < \includegraphics[width=1.7in]{figure/AnalysisLevel2D_IC86AtmMuSingleCoinc.pdf} < \includegraphics[width=1.7in]{figure/AnalysisLevel2D_IC86AtmNu.pdf} < \includegraphics[width=1.7in]{figure/AnalysisLevel2D_IC86AllSignal.pdf} --- > \includegraphics[width=1.7in]{figure/AnalysisLevel2D_IC86Data.eps} > \includegraphics[width=1.7in]{figure/AnalysisLevel2D_IC86AtmMuSingleCoinc.eps} > \includegraphics[width=1.7in]{figure/AnalysisLevel2D_IC86AtmNu.eps} > \includegraphics[width=1.7in]{figure/AnalysisLevel2D_IC86AllSignal.eps} 333c333 < \caption{Event-number distributions on the plane of NPE and reconstructed zenith angle --- > \caption{Event number distributions on the plane of NPE and reconstructed zenith angle 341c341 < distributions include atmospheric muons from the CORSIKA package with SIBYLL high-energy --- > distributions include atmospheric muons from the CORSIKA package with SIBYLL high energy 351,353c351,353 < \includegraphics[height=2.1in, width=2.1in]{figure/EffectiveAreaEachFlavor_IC79.pdf} < \includegraphics[height=2.1in, width=2.1in]{figure/EffectiveAreaEachFlavor_IC86.pdf} < \includegraphics[height=2.1in, width=2.1in]{figure/EffectiveArea3FlavorSum_3years.pdf} --- > \includegraphics[height=2.1in, width=2.1in]{figure/EffectiveAreaEachFlavor_IC79.canvas.eps} > \includegraphics[height=2.1in, width=2.1in]{figure/EffectiveAreaEachFlavor_IC86.canvas.eps} > \includegraphics[height=2.1in, width=2.1in]{figure/EffectiveArea3FlavorSum_3years.canvas.eps} 377c377 < In Fig.~\ref{fig:final}, the event-number distributions of the Monte Carlo simulations and --- > In Fig.~\ref{fig:final}, the event number distributions of the Monte Carlo simulations and 380c380 < The signal distributions add all three flavors of neutrinos. --- > The signal distributions adds all three flavors of neutrinos. 390c390 < can be separated with a zenith-angle-independent NPE threshold value. --- > can be separated with a zenith angle independent NPE threshold value. 403c403 < The effective neutrino-detection areas of the analysis --- > The effective neutrino detection areas of the analysis 418c418 < The right panel in Fig.~\ref{fig:effarea} shows the three-neutrino-flavor sum of --- > The right panel in Fig.~\ref{fig:effarea} shows the three neutrino flavor sum of 444c444 < $1.75\times10^{-3}$, equivalent to a 2.9$\sigma$ deviation, --- > $1.75\times10^{-3}$ equivalent to a 2.9$\sigma$ deviation, 454,455c454,455 < \includegraphics[width=1.55in, height=1.55in]{figure/Aug_EventView.pdf} < \includegraphics[width=1.55in, height=1.55in]{figure/EventViewJan2012_3.pdf} --- > \includegraphics[width=1.55in, height=1.55in]{figure/Aug_EventView.eps} > \includegraphics[width=1.55in, height=1.55in]{figure/EventViewJan2012_3.eps} 494c494 < \includegraphics[height=3.0in]{figure/FinalLevelIC86IC79NPE.pdf} --- > \includegraphics[height=3.0in]{figure/FinalLevelIC86IC79NPE.eps} 519c519 < We examine models predicting ultra-high-energy neutrino productions --- > We examine models predicting ultra-high energy neutrino productions 528,529c528,529 < that a neutrino generation mechanism other than the GZK interactions < is responsible for the PeV neutrino sky including the observed two neutrino events. --- > that neutrino generation mechanism other than the GZK interactions > is responsible for PeV neutrino sky including the observed two neutrino events. 546,547c546,547 < the present constraints from the limit on the ultra-high-energy neutrino flux are compatible < with those from the photon-flux measurement by Fermi in the 10 GeV region~\cite{fermilimit}. --- > the present constraints from the limit on the ultra-high energy neutrino flux are compatible > with those from the photon flux measurement by Fermi in 10 GeV region~\cite{fermilimit}. 598c598 < \includegraphics[width=0.45\textwidth]{./figure/EvolutionContourIC40-79-86_1yr.pdf} --- > \includegraphics[width=0.45\textwidth]{./figure/EvolutionContourIC40-79-86_1yr.eps} 610c610 < \includegraphics[width=0.45\textwidth]{./figure/UpdatedUpperlimt_withoutGR_withSys_v2.pdf} --- > \includegraphics[width=0.45\textwidth]{./figure/UpdatedUpperlimt_withoutGR_withSys_v2.eps} 644c644 < widely assumed in the models mentioned here while a predominance of heavier nuclei --- > widely assumed in the models mentioned here while predominance of heavier nuclei 668,669c668,669 < We analyzed the 2010--12 data sample collected by the 79 and 86-string IceCube < detector to search for extremely-high-energy neutrinos with energies exceeding $10^6$~GeV\null. --- > We analyzed the 2010-12 data sample collected by the 79 and 86-string IceCube > detector to search for extremely-high energy neutrinos with energies exceeding $10^6$~GeV\null. 671,673c671,673 < The energy profiles of the two events indicate that these events are cascades of which the energy deposited was $\sim$1~PeV. < An upper limit on the neutrino rate in the energy region above 100 PeV < puts constraints on the distribution of UHECR emitters in redshift space. --- > The energy profiles of the two events indicates that these events are cascades of which the energy deposited $\sim$1~PeV. > An upperlimit on the neutrino rate in the energy region above 100 PeV > puts constraints on distribution of UHECR emitters in redshift space. 675,678c675,678 < the parameter region where some leading UHECR-source candidates are expected to be distributed. < The bound---significantly upgraded from our previous publication~\cite{icecubeEHE2011}---was < brought about by both the enlarged instrumentation volume and < the refined Monte Carlo simulations with improved agreements with the experimental data. --- > the parameter region where some UHECR source leading candidates are expected to be distributed. > The bound significantly upgraded from our previous publication~\cite{icecubeEHE2011} > was brought by both the enlarged instrumentation volume and > the refined Monte Carlo simulations with improved agreements to the experimental data. 686,688c686,688 < driving the IceCube program to search for extremely-high-energy cosmic neutrinos. < I also deeply acknowledge the entire IceCube collaboration for their enthusiastic support < in the data analysis, simulations, as well as the stable operations of the detector. --- > driving the IceCube program to search for extremely-high energy cosmic neutrinos. > I also deeply acknowledge the entire IceCube collaboration for their enthusiastic supports > on the data analysis, simulations, as well as the stable operations of the detector.