Detector Requirements for Model-Independent Measurements of Ultrahigh Energy Neutrino Cross Sections

Abstract

The ultrahigh energy range of neutrino physics (above $\sim 10^7\mathrm{GeV}$), as yet devoid of detections, is an open landscape with challenges to be met and discoveries to be made. Neutrino-nucleon cross sections in that range - with center-of-momentum energies $\sqrt{s}\gtrsim 4\mathrm{TeV}$ - are powerful probes of unexplored phenomena. We present a simple and accurate model-independent framework to evaluate how well these cross sections can be measured for an unknown flux and generic detectors. We also demonstrate how to characterize and compare detector sensitivity. We show that cross sections can be measured to ${\simeq }_{-30}^{+65}$% precision over $\sqrt{s}\simeq$ 4-140 TeV ($E_{\nu }=10^7$-$10^{10}$ GeV) with modest energy and angular resolution and $\simeq 10$ events per energy decade. Many allowed novel-physics models (extra dimensions, leptoquarks, etc.) produce much larger effects. In the distant future, with $\simeq 100$ events at the highest energies, the precision would be $\simeq 15\%$, probing even QCD saturation effects.

8 pages + Appendices. v2: minor changes, matches published version. v3: error in one of the target cross sections corrected. Results and conclusions unaffected

References in corpus (27)

• Observation and Characterization of a Cosmic Muon Neutrino Flux from the Northern Hemisphere using six years of IceCube data
• Cosmogenic Neutrinos: parameter space and detectabilty from PeV to ZeV
• The Pacific Ocean Neutrino Experiment
• The Antarctic Impulsive Transient Antenna Ultra-high Energy Neutrino Detector Design, Performance, and Sensitivity for 2006-2007 Balloon Flight
• Design and Sensitivity of the Radio Neutrino Observatory in Greenland (RNO-G)
• A new view on Auger data and cosmogenic neutrinos in light of different nuclear disintegration and air-shower models
• Constraints on the ultra-high energy cosmic neutrino flux from the fourth flight of ANITA
• The Payload for Ultrahigh Energy Observations (PUEO): A White Paper
• Cosmogenic neutrinos as a probe of the transition from Galactic to extragalactic cosmic rays
• Neutrino-nucleus cross sections for W-boson and trident production
• Measurement of the high-energy all-flavor neutrino-nucleon cross section with IceCube
• W-boson and trident production in TeV--PeV neutrino observatories
• The ultra-high-energy neutrino-nucleon cross section: measurement forecasts for an era of cosmic EeV-neutrino discovery
• Identifying Ultrahigh-Energy Cosmic-Ray Accelerators with Future Ultrahigh-Energy Neutrino Detectors
• Observing EeV neutrinos through the Earth: GZK and the anomalous ANITA events
• Disentangling neutrino-nucleon cross section and high energy neutrino flux with a km^3 neutrino telescope
• Probing New Physics at Future Tau Neutrino Telescopes
• New physics with ultra-high-energy neutrinos
• Cross section dependence of event rates at neutrino telescopes
• A low-threshold ultrahigh-energy neutrino search with the Askaryan Radio Array
• Probing the angular and polarization reconstruction of the ARIANNA detector at the South Pole
• Modeling in-ice radio propagation with parabolic equation methods
• Dimuons in Neutrino Telescopes: New Predictions and First Search in IceCube
• TauRunner: A Public Python Program to Propagate Neutral and Charged Leptons
• Impact of biaxial birefringence in polar ice at radio frequencies on signal polarizations in ultra-high energy neutrino detection
• Upward shower rates at neutrino telescopes directly determine the neutrino flux
• Tau Appearance from High-Energy Neutrino Interactions

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• Radio Detection of High Energy Neutrinos in Ice
• Near-future discovery of point sources of ultra-high-energy neutrinos
• The flavor composition of ultra-high-energy cosmic neutrinos: measurement forecasts for in-ice radio-based EeV neutrino telescopes
• Implications of the QCD dynamics and a Super-Glashow astrophysical neutrino flux on the description of ultrahigh energy neutrino data
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• Double and multiple bangs at tau neutrino telescopes: A novel probe of sphalerons with cosmogenic neutrinos
• Final state radiation from high and ultrahigh energy neutrino interactions
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• IceCube and the origin of ANITA-IV events
• Multimessenger Potential of the Radio Neutrino Observatory in Greenland
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