Neutrino reaction in renormalizable field theories. [Total cross sections, average momentum transfer]

Journal Article · Sun May 01 00:00:00 EDT 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.15.2697· OSTI ID:7109683

Shifman, M A

The high-energy behavior of different quantities which are directly in neutrino reactions (such as the total cross section, average momentum transfer, etc.) is considered. Stong interactions are assumed to be based on renormalizable field theories. Extending the method used by Zee, Wilczek, and Treiman, it is shown that as a consequence of energy-tensor conservation the asymptotics of the total neutrino cross secton is linear in the case of asymptotically free theory as well as in the case of field theory with fixed point. Definite predictions are also made concerning the asymptotics of < Q/sup 2/ >, < v >. The results obtained lead to the conclusion that within asymptotically free theories the behavior of intergral quantities measured in neutrino reactions follows asymptotically that of the corresponding moments from the structure functions.

• Research Organization: Institute of Theoretical and Experimental Physics, Moscow 117259, U. S. S. R.
• OSTI ID: 7109683
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 15:9; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645203 -- High Energy Physics-- Particle Interactions &amp; Properties-Theoretical-- Weak Interactions &amp; Properties
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
CROSS SECTIONS
ENERGY CONSERVATION
FIELD THEORIES
LEPTON REACTIONS
NEUTRINO REACTIONS
NUCLEAR REACTIONS
PERTURBATION THEORY
RENORMALIZATION
TOTAL CROSS SECTIONS