Neutrino cross-section in ultrahigh energy regime using double asymptotic limit of QCD

Abstract

Studies on neutrino–nucleon (\({\nu }N\)) cross-sections have regained interest due to increasing importance of precision measurements, as they are needed as an ingredient in all neutrino experiments. In this work, we use the QCD-inspired double asymptotic limit fit of electron–proton structure function \(F_{2}^{ep}\) to low-\( x \) HERA data, to calculate \(\nu \) N cross-section for charged current (CC) and neutral current (NC) neutrino interactions in ultrahigh energy (UHE) neutrino energy (\(E_{\nu }\)) regime (\(10^{9}\, \mathrm {GeV} \le E_{\nu } \le 10^{12}\, \mathrm {GeV} \)). The form \(F_{2}^{ep} \sim x^{-\lambda (Q^{2})}\), used in our analysis, can be conjectured like a dynamic pomeron (DP)-type behaviour. We also find an analytic form of the total cross-sections, \(\sigma _{\mathrm {CC}}^{\nu N}\) and \(\sigma _{\mathrm {NC}}^{\nu N}\), which appear to be of Reggeon exchange type. We also do a comparative analysis of our results with those available in literature. Future measurements will support / confront our predictions.