Ultrahigh-energy neutrino-nucleon deep-inelastic scattering and the Froissart bound
| Autor: | Illarionov, Alexey Yu., Kniehl, Bernd A., Kotikov, Anatoly V. |
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| Rok vydání: | 2011 |
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| Zdroj: | Phys.Rev.Lett.106:231802,2011 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.106.231802 |
| Popis: | 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}. Comment: 5 pages, 2 figures, to appear in Physical Review Letters |
| Databáze: | arXiv |
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