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Analytical evolution of nucleon structure functions with power corrections at twist-4 and predictions for ultrahigh energy neutrino-nucleon cross section

R. Fiore1,*, L. L. Jenkovszky2,†, A. V. Kotikov3,‡, F. Paccanoni4,§, A. Papa1,∥, and E. Predazzi5,¶

  • 1Dipartimento di Fisica, Università della Calabria, Istituto Nazionale di Fisica Nucleare, Gruppo collegato di Cosenza, I-87036 Arcavacata di Rende, Cosenza, Italy
  • 2Bogolyubov Institute for Theoretical Physics, Academy of Sciences of Ukraine, UA-03143 Kiev, Ukraine
  • 3Bogolyubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, RU-141980 Dubna, Russia
  • 4Dipartimento di Fisica, Università di Padova, Istituto Nazionale di Fisica Nucleare, Sezione di Padova, via F. Marzolo 8, I-35131 Padova, Italy
  • 5Dipartimento di Fisica Teorica, Università di Torino, Istituto Nazionale di Fisica Nucleare, Sezione di Torino, via P. Giuria 1, I-10125 Torino, Italy

  • *Electronic address: fiore@cs.infn.it
  • †Electronic address: jenk@bitp.kiev.ua
  • ‡Electronic address: kotikov@thsun1.jinr.ru
  • §Electronic address: paccanoni@pd.infn.it
  • ∥Electronic address: papa@cs.infn.it
  • Electronic address: predazzi@to.infn.it
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Phys. Rev. D 71, 033002 – Published 14 February, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.033002

Abstract

In this paper we present an analytic result for the evolution in Q2 of the structure functions for the neutrino-nucleon interaction, valid at twist-2 in the region of small values of the Bjorken x variable and for soft nonperturbative input. In the special case of flat initial conditions, we include in the calculation also the contribution of the twist-4 gluon recombination corrections, whose effect in the evolution is explicitly determined. Finally, we estimate the resulting charged-current neutrino-nucleon total cross section and discuss its behavior at ultrahigh energies.

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Phys. Rev. D 71, 033002– Published 14 February, 2005
  • Received 2 December 2004

© 2005 American Physical Society

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