Asymptotic behavior of the fixed-angle on-shell quark scattering amplitudes in non-Abelian gauge theories

Journal Article · Mon Aug 15 04:00:00 EDT 1983 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.28.860· OSTI ID:5650794

Sen, A

In this paper we find the asymptotic behavior of the fixed-angle on-shell quark-quark scattering amplitude in non-Abelian gauge theories in the limit of very large center-of-mass energy ..sqrt..s . We sum the perturbation series to all orders in the coupling constant and all powers of lns, but ignore terms which are suppressed by a power of s order by order in perturbation theory. In the s..-->..infinity limit the amplitude vanishes as exp(-..cap alpha.. lns ln lns), where ..cap alpha.. is a constant. The phase of the amplitude is shown to be free from infrared divergences. Hence the phase is a perturbatively calculable function and may provide important tests of QCD.

• Research Organization: Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510
• OSTI ID: 5650794
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 28:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ASYMPTOTIC SOLUTIONS
COUPLING CONSTANTS
FIELD THEORIES
GAUGE INVARIANCE
INFRARED DIVERGENCES
INTERACTIONS
INVARIANCE PRINCIPLES
PARTICLE INTERACTIONS
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK-QUARK INTERACTIONS
SCATTERING AMPLITUDES