Total cross-sections in perturbation theory in the high-energy limit

1964 ◽  
Vol 34 (1) ◽  
pp. 221-235
Author(s):  
P. Cazzola
Keyword(s):  
Perturbation Theory ◽  
Cross Sections ◽  
High Energy ◽  
Energy Limit ◽  
Total Cross Sections ◽  
High Energy Limit

scholarly journals SMALL-X QCD EFFECTS IN PARTICLE COLLISIONS AT HIGH ENERGIES

2002 ◽  
Vol 17 (23) ◽  
pp. 3185-3203
Author(s):  
TANCREDI CARLI
Keyword(s):  
Perturbative Qcd ◽  
Cross Sections ◽  
High Energy ◽  
Particle Collisions ◽  
Energy Limit ◽  
High Energy Limit ◽  
High Energies ◽  
Small X ◽  
Theoretical Developments

Recent theoretical developments to calculate cross sections of hadronic objects in the high energy limit are summarised and experimental attempts to establish the need for new QCD effects connected with a resummation of small hadron momentum fractions x are reviewed. The relation between small-x parton dynamics and the phenomenon of diffraction is briefly out-lined. In addition, a search for a novel, non-perturbative QCD effect, the production of QCD instanton induced events, is presented.

scholarly journals Investigating the Soft Processes within the QCD Color Dipole Picture

2019 ◽  
Vol 64 (8) ◽  
pp. 705 ◽  
Author(s):  
M. V. T. Machado
Keyword(s):  
Cross Sections ◽  
High Energy ◽  
Energy Limit ◽  
Proton Proton ◽  
Proton Collisions ◽  
High Energy Limit ◽  
Color Dipole ◽  
Soft Interactions ◽  
Soft Processes ◽  
Dipole Picture

We consider the QCD parton saturation models to describe the soft interactions at the high-energy limit. The total and elastic cross-sections, as well as the elastic slope parameter, are obtained for proton-proton and pion-proton collisions and compared to recent experimental results.

NEXT-TO-LEADING LOGARITHM QCD CORRECTIONS FOR $q\bar q \to ZZ$, W+W−, W±Z SUBPROCESSES

1988 ◽  
Vol 03 (09) ◽  
pp. 2181-2194 ◽  
Author(s):  
V. BARGER ◽  
J.L. LOPEZ ◽  
W. PUTIKKA
Keyword(s):  
Cross Sections ◽  
High Energy ◽  
Energy Limit ◽  
High Energy Limit ◽  
Exact Calculations ◽  
Leading Logarithm ◽  
Made In

We show that O(αs) QCD corrections for the [Formula: see text], W+W−, and W±Z subprocess cross sections are approximately given by a factor [Formula: see text] times the lowest order cross sections, as previously found for the Drell-Yan [Formula: see text] subprocess. The calculations are made in the limit of soft virtual or real gluons. The result is confirmed for the high energy limit of [Formula: see text] by analogy with exact calculations of [Formula: see text] and Zγ cross sections.

scholarly journals High-Energy Limit of Scattering Cross Sections

1960 ◽  
Vol 4 (2) ◽  
pp. 89-91 ◽  
Author(s):  
D. Amati ◽  
M. Fierz ◽  
V. Glaser
Keyword(s):  
Cross Sections ◽  
High Energy ◽  
Energy Limit ◽  
High Energy Limit ◽  
Scattering Cross ◽  
Scattering Cross Sections

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

HIGH ENERGY LIMIT IN QCD

2011 ◽  
Vol 26 (09) ◽  
pp. 603-623
Author(s):  
ANNA M. STASTO
Keyword(s):  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Heavy Ion Collisions ◽  
Heavy Ion ◽  
High Energy ◽  
Energy Limit ◽  
High Energy Limit ◽  
Ion Collisions ◽  
Small X

We briefly review some selected topics in the small x physics. In particular, we discuss the progress in the problem related to the resummation at small x and the parton saturation phenomena. Finally we discuss some phenomenological applications to deep inelastic scattering, hadron and heavy ion collisions.

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