skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Scaling deviations for neutrino reactions in aysmptotically free field theories

Abstract

Several aspects of deep inelastic neutrino scattering are discussed in the framework of asymptotically free field theories. We first consider the frowth 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 distriubtions. The last section of the paper deals with deviations from the Callan-Gross relation.

Authors:
; ;
Publication Date:
Research Org.:
Princeton Univ., N.J. (USA). Joseph Henry Labs.
Sponsoring Org.:
US Atomic Energy Commission
OSTI Identifier:
4256152
Report Number(s):
COO-3072-32
NSA Number:
NSA-31-009794
DOE Contract Number:  
AT(11-1)-3072
Resource Type:
Technical Report
Resource Relation:
Other Information: Orig. Receipt Date: 30-JUN-75
Country of Publication:
United States
Language:
English
Subject:
*NEUTRINO REACTIONS- INELASTIC SCATTERING; *SCALE INVARIANCE- NEUTRINO REACTIONS; BOUNDARY CONDITIONS; DIFFERENTIAL CROSS SECTIONS; DISTRIBUTION; FIELD THEORIES; STRUCTURE FUNCTIONS; TOTAL CROSS SECTIONS; N64230l - Physics (High Energy) - Particle Interactions & Properties (Theoretical) - Weak

Citation Formats

Zee, A, Wilczek, F, and Treiman, S B. Scaling deviations for neutrino reactions in aysmptotically free field theories. United States: N. p., 1974. Web. doi:10.2172/4256152.
Zee, A, Wilczek, F, & Treiman, S B. Scaling deviations for neutrino reactions in aysmptotically free field theories. United States. doi:10.2172/4256152.
Zee, A, Wilczek, F, and Treiman, S B. Tue . "Scaling deviations for neutrino reactions in aysmptotically free field theories". United States. doi:10.2172/4256152. https://www.osti.gov/servlets/purl/4256152.
@article{osti_4256152,
title = {Scaling deviations for neutrino reactions in aysmptotically free field theories},
author = {Zee, A and Wilczek, F and Treiman, S B},
abstractNote = {Several aspects of deep inelastic neutrino scattering are discussed in the framework of asymptotically free field theories. We first consider the frowth 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 distriubtions. The last section of the paper deals with deviations from the Callan-Gross relation.},
doi = {10.2172/4256152},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Jan 01 00:00:00 EST 1974},
month = {Tue Jan 01 00:00:00 EST 1974}
}

Technical Report:

Save / Share: