Calculation of High Energy Neutrino-Nucleon Cross Sections and Uncertainties Using the MSTW Parton Distribution Functions and Implications for Future Experiments

Abstract

We present a new calculation of the cross sections for charged current (CC) and neutral current (NC) $\nu N$ and $\bar{\nu }N$ interactions in the neutrino energy range $10^4<E_{\nu }<10^{12}$ GeV using the most recent MSTW parton distribution functions (PDFs), MSTW 2008. We also present the associated uncertainties propagated from the PDFs, as well as parametrizations of the cross section central values, their uncertainty bounds, and the inelasticity distributions for ease of use in Monte Carlo simulations. For the latter we only provide parametrizations for energies above $10^7$ GeV. Finally, we assess the feasibility of future neutrino experiments to constrain the $\nu N$ cross section in the ultra-high energy (UHE) regime using a technique that is independent of the flux spectrum of incident neutrinos. A significant deviation from the predicted Standard Model cross sections could be an indication of new physics, such as extra space-time dimensions, and we present expected constraints on such models as a function of the number of events observed in a future subterranean neutrino detector.

20 pages, 13 figures, 5 tables, published in Phys.Rev.D. This version fixes a typo in Equation 16 of the publication. Also since version v1, the following changes are in v2 and also in the published version: tables with cs values, parametrization of the y distribution at low-y improved, the discussions on likelihood and also earth absorption are expanded, added a needed minus sign in Eq. 17 of v1

References in corpus (13)

• Parton distributions for the LHC
• Implications of CTEQ global analysis for collider observables
• Heavy-quark mass dependence in global PDF analyses and 3- and 4-flavour parton distributions
• Search for Microscopic Black Hole Signatures at the Large Hadron Collider
• Radiography of the Earth's Core and Mantle with Atmospheric Neutrinos
• An analytic solution to LO coupled DGLAP evolution equations: a new pQCD tool
• Ultrahigh energy neutrino scattering: an update
• Disentangling neutrino-nucleon cross section and high energy neutrino flux with a km^3 neutrino telescope
• Cross section dependence of event rates at neutrino telescopes
• A comparative study of the neutrino-nucleon cross section at ultra high energies
• Ultra-high energy neutrino scattering
• Upward shower rates at neutrino telescopes directly determine the neutrino flux
• Constraints on Neutrino-Nucleon Interactions at energies of 1 EeV with the IceCube Neutrino Observatory

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