Scaling deviations for neutrino reactions in asymptotically free field theories

A. Zee, F. Wilczek, S. B. Treiman

Research output: Contribution to journalArticlepeer-review

106 Scopus citations


Several aspects of deep-inelastic neutrino scattering are discussed in the framework of asymptotically free field theories. We first consider the growth behavior of the total cross sections at large energies. Because of the deviations from strict scaling which are characteristic of such theories, the growth need not be linear. However, upper and lower bounds are established which rather closely bracket a linear growth. We next consider in more detail the expected pattern of scaling deviation for the structure functions and, correspondingly, for the differential cross sections. The analysis here is based on certain speculative assumptions. The focus is on qualitative effects of scaling breakdown as they may show up in the x and y distributions. The last section of the paper deals with deviations from the Callan-Gross relation.

Original languageEnglish (US)
Pages (from-to)2881-2891
Number of pages11
JournalPhysical Review D
Issue number9
StatePublished - 1974
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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