Using a line-of-sight transport formalism, the paper finds a 3.1 sigma tension between the KM3NeT ultra-high-energy event and IceCube non-observation under a diffuse power-law flux, with stronger tension for steady point sources.
Ultrahigh energy neutrino scattering: an update
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abstract
We update our estimates of charged and neutral current neutrino total cross sections on isoscalar nucleons at ultrahigh energies using a global (x, Q^2) fit, motivated by the Froissart bound, to the F_2 (electron-proton) structure function utilizing the most recent analysis of the complete ZEUS and H1 data sets from HERA I. Using the large Q^2, small Bjorken-x limits of the "wee" parton model, we connect the ultrahigh energy neutrino cross sections directly to the large Q^2, small-x extrapolation of our new fit, which we assume saturates the Froissart bound. We compare both to our previous work, which utilized only the smaller ZEUS data set, as well as to recent results of a calculation using the ZEUS-S based global perturbative QCD parton distributions using the combined HERA I results as input. Our new results substantiate our previous conclusions, again predicting significantly smaller cross sections than those predicted by extrapolating pQCD calculations to neutrino energies above 10^9 GeV.
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Exploring ultra-high energy neutrino experiments through the lens of the transport equation
Using a line-of-sight transport formalism, the paper finds a 3.1 sigma tension between the KM3NeT ultra-high-energy event and IceCube non-observation under a diffuse power-law flux, with stronger tension for steady point sources.