Speaker
Anatoly Kotikov
Description
A simple formula for the total cross section \sigma_{\nu N} of neutral- and charged-current deep-inelastic scattering of ultrahigh-energy neutrinos on isoscalar nuclear targets is presented. The cross section \sigma_{\nu N} is proportional to the structure function F_2^{\nu N}(M^2_V/s,m_V^2) (M_V is the intermediate-boson mass and s is the square of the center-of-mass energy) with an additional coefficient, which depends on the asymptotic low-x behavior of F_2: it contains an additional \ln s term if F_2 scales with a power of \ln(1/x). Hence, an asymptotic low-x behavior F_2 \sim \ln^2(1/x), which is frequently assumed in the literature, already leads to a violation of the Froissart bound on \sigma_{\nu N}.
