Abstract
We present state-of-the-art predictions for the ultra-high energy (UHE) neutrino-nucleus cross-sections in charged- and neutral-current scattering. The calculation is performed in the framework of collinear factorisation at NNLO, extended to include the resummation of small-x BFKL effects. Further improvements are made by accounting for the free-nucleon PDF constraints provided by D-meson data from LHCb and assessing the impact of nuclear corrections and heavy-quark mass effects, which are treated at NLO. The calculations presented here should play an important role in the interpretation of future data from neutrino telescopes such as IceCube and KM3NeT, and highlight the opportunities that astroparticle experiments offer to study the strong interactions.
Highlights
With matter, makes the detection of ultra-high energy (UHE) neutrinos extremely challenging
We have extended the calculation of deep-inelastic structure functions to next-to-next-to-leading order (NNLO) matched with small-x resummation corrections at next-to-leading logarithmic (NLLx) accuracy
We find that small-x resummation corrections stabilise the perturbative convergence of the UHE neutrino cross-sections
Summary
We present an overview of the theoretical settings used throughout this work to compute the UHE neutrino-nucleus cross-sections. We first review the basic ingredients required to evaluate predictions for neutrino-induced DIS cross-sections, focussing on the kinematic region relevant to UHE neutrino-nucleus scattering. We provide details on the theoretical accuracy and implementation of our calculation. We discuss the role played by heavy-quark mass effects and the treatment of nuclear corrections
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