Construction of infrared finite observables in N=4 super Yang-Mills theory

Journal Article · Sat May 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.105028· OSTI ID:21409784

Bork, L V ^[1]; Kazakov, D I ^[2]; Vartanov, G S ^[2]; Zhiboedov, A V ^[2]

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1. Institute for Theoretical and Experimental Physics, Moscow (Russian Federation)
2. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna (Russian Federation)

In this paper we give all the details of the calculation that we presented in our previous paper [58], where the infrared structure of the maximally helicity violating gluon amplitudes in the planar limit for N=4 super Yang-Mills theory was considered in the next-to-leading order of perturbation theory. Explicit cancellation of the infrared divergencies in properly defined inclusive cross sections is demonstrated first in a toy model example of ''conformal QED'' and then in the real N=4 supersymmetric Yang-Mills theory. We give the full-length details both for the calculation of the real emission and for the diagrams with splitting in initial and final states. The finite parts for some inclusive differential cross sections are presented in an analytical form. In general, contrary to the virtual corrections, they do not reveal any simple structure. An example of the finite part containing just the log functions is presented. The dependence of inclusive cross section on the external scale related to the definition of asymptotic states is discussed.

• OSTI ID: 21409784
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ASYMPTOTIC SOLUTIONS
BOSONS
CORRECTIONS
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
ELECTRODYNAMICS
EMISSION
FIELD THEORIES
GLUONS
HELICITY
MATHEMATICAL SOLUTIONS
PARTICLE PROPERTIES
PERTURBATION THEORY
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SUPERSYMMETRY
SYMMETRY
YANG-MILLS THEORY