High energy behaviour of total cross sections in weak interactions

1994 ◽  
Vol 61 (1) ◽  
pp. 125-137
Author(s):  
M. Pindor ◽  
R. Rączka ◽  
C. Wetterich
Keyword(s):  
Cross Sections ◽  
Weak Interactions ◽  
High Energy ◽  
Total Cross Sections ◽  
Energy Behaviour

LOW Q2, HIGH ν NEUTRINO PHYSICS (CVC, PCAC, HADRON DOMINANCE)

1993 ◽  
Vol 08 (09) ◽  
pp. 1513-1602 ◽  
Author(s):  
B.Z. KOPELIOVICH ◽  
P. MARAGE
Keyword(s):  
Neutrino Physics ◽  
Cross Sections ◽  
Weak Interactions ◽  
Meson Production ◽  
Vector Current ◽  
High Energy ◽  
Axial Current ◽  
Longitudinal Component ◽  
Dominance Model ◽  
Total Cross Sections

A critical review is given of the main theoretical bases and of the experimental results of neutrino physics at low four-momentum transfer (Q2≤1 GeV 2) and high energy transfer (ν≥a few GeV). The theoretical predictions for the vector current are first presented, using the CVC hypothesis and the hadron dominance model of Piketty and Stodolsky. The predictions for the axial current at very small Q2 values are discussed on the basis of the PCAC hypothesis (Adler’s theorem), and extended for Q2≲1 GeV 2 in the lines of hadron dominance; the structure of the longitudinal component of the axial current is particularly discussed. Experimental data on neutrino and antineutrino interactions on nucleons are reviewed, in particular the total cross sections, which provide good tests of the PCAC hypothesis and of the model of Piketty and Stodolsky; also reviewed are the data on diffractive production of π, ρ and a1 mesons. The observation of shadowing, from the comparison of the total cross sections of neutrinos and antineutrinos on neon and deuterium nuclei, is discussed in detail with emphasis on the predictions of the PCAC hypothesis, in the framework of the Glauber-Gribov model. Finally a review is given of the results on coherent neutrino and antineutrino interactions on atomic nuclei: • π meson production, by charged and neutral currents in several experiments, providing a detailed test of the PCAC hypothesis; • ρ meson production, providing a test of the CVC hypothesis in weak interactions; • a1 meson or nonresonant ρπ system production, allowing the study of the weak axial current structure.

scholarly journals Total cross sections of eγ → $$ eX\overline{X} $$ processes with X = μ, γ, e via multiloop methods

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Roman N. Lee ◽  
Alexey A. Lyubyakin ◽  
Vyacheslav A. Stotsky
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Elliptic Integral ◽  
High Energy ◽  
Calculation Methods ◽  
Complete Elliptic Integral ◽  
Total Cross Sections ◽  
Multiloop Calculation ◽  
The Cross ◽  
Analytical Expressions

Abstract Using modern multiloop calculation methods, we derive the analytical expressions for the total cross sections of the processes e−γ →$$ {e}^{-}X\overline{X} $$ e − X X ¯ with X = μ, γ or e at arbitrary energies. For the first two processes our results are expressed via classical polylogarithms. The cross section of e−γ → e−e−e+ is represented as a one-fold integral of complete elliptic integral K and logarithms. Using our results, we calculate the threshold and high-energy asymptotics and compare them with available results.

Total Cross Sections of Liquefied Gases for High-Energy Neutrons

1954 ◽  
Vol 96 (1) ◽  
pp. 115-120 ◽  
Author(s):  
Peter Hillman ◽  
R. H. Stahl ◽  
N. F. Ramsey
Keyword(s):  
Cross Sections ◽  
High Energy ◽  
Total Cross Sections

scholarly journals High energy hadronic total cross sections

1997 ◽  
Vol 56 (5) ◽  
pp. 2596-2601 ◽  
Author(s):  
James A. Feigenbaum ◽  
Peter G. O. Freund ◽  
Mircea Pigli
Keyword(s):  
Cross Sections ◽  
High Energy ◽  
Total Cross Sections
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