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

• Published in: Physical review letters 2011-06, Vol.106 (23), p.231802-231802, Article 231802
• Main Authors: Illarionov, Alexey Yu, Kniehl, Bernd A, Kotikov, Anatoly V
• Format: Article
• Language: English
• Subjects: ALGEBRAIC CURRENTS; ASYMPTOTIC SOLUTIONS; BARYONS; BOSONS; CENTER-OF-MASS SYSTEM; CHARGED CURRENTS; CROSS SECTIONS; CURRENTS; DEEP INELASTIC SCATTERING; ELEMENTARY PARTICLES; FERMIONS; FUNCTIONS; HADRONS; INELASTIC SCATTERING; INTERACTIONS; INTERMEDIATE BOSONS; LEPTON-BARYON INTERACTIONS; LEPTON-HADRON INTERACTIONS; LEPTON-NUCLEON INTERACTIONS; LEPTONS; MASSLESS PARTICLES; MATHEMATICAL SOLUTIONS; NEUTRINOS; NUCLEAR PHYSICS AND RADIATION PHYSICS; NUCLEONS; PARTICLE INTERACTIONS; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SCATTERING; STRUCTURE FUNCTIONS; TOTAL CROSS SECTIONS
• ISSN: 0031-9007; 1079-7114
• DOI: 10.1103/physrevlett.106.231802

We present a simple formula for the total cross section σ(νN) 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)(νN)(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 front of F(2)(νN)(x,Q(2)) depends on the asymptotic low-x behavior of F(2)(νN). It contains an additional lns term if F(2)(νN) scales with a power of ln(1/x). Hence, an asymptotic low-x behavior F(2)(νN)∝ln(2)(1/x), which is frequently assumed in the literature, already leads to a violation of the Froissart bound on σ(νN).