Ultrahigh-energy neutrino-nucleon deep-inelastic scattering and the Froissart bound

Details Ultrahigh-energy neutrino-nucleon deep-inelastic scattering and the Froissart bound Ultrahigh-energy neutrino-nucleon deep-inelastic scattering and the Froissart bound

2011-05-13

arxiv.org/abs/1105.2829v1

Phys.Rev.Lett.106:231802,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 2 figures, to appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.106.231802

We present 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, which is proportional to the structure function F_2^{nu N}(M_V^2/s, M_V^2), where M_V is the intermediate-boson mass and s is the square of the center-of-mass energy. The coefficient in the front of F_2^{nu N}(x, Q^2) depends on the asymptotic low-x behavior of F_2^{nu N}. It contains an additional ln(s) term if F_2^{nu N} scales with a power of ln(1/x). Hence, an asymptotic low-x behavior F_2^{nu N} propto ln^2(1/x), which is frequently assumed in the literature, already leads to a violation of the Froissart bound on sigma^{nu N}.

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