Maximally supersymmetric planar Yang-Mills amplitudes at five loops

Journal Article · Sat Dec 15 04:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.125020· OSTI ID:21024085

Bern, Z; Carrasco, J J. M.; Johansson, H; Kosower, D A ^[1]

---

1. Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547 (United States)

We present an Ansatz for the planar five-loop four-point amplitude in maximally supersymmetric Yang-Mills theory in terms of loop integrals. This Ansatz exploits the recently observed correspondence between integrals with simple conformal properties and those found in the four-point amplitudes of the theory through four loops. We explain how to identify all such integrals systematically. We make use of generalized unitarity in both four and D dimensions to determine the coefficients of each of these integrals in the amplitude. Maximal cuts, in which we cut all propagators of a given integral, are an especially effective means for determining these coefficients. The set of integrals and coefficients determined here will be useful for computing the five-loop cusp anomalous dimension of the theory which is of interest for nontrivial checks of the AdS/CFT duality conjecture. It will also be useful for checking a conjecture that the amplitudes have an iterative structure allowing for their all-loop resummation, whose link to a recent string-side computation by Alday and Maldacena opens a new venue for quantitative AdS/CFT comparisons.

• OSTI ID: 21024085
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANOMALOUS DIMENSION
COMPARATIVE EVALUATIONS
CONFORMAL INVARIANCE
DUALITY
FEYNMAN DIAGRAM
ITERATIVE METHODS
PROPAGATOR
QUANTUM FIELD THEORY
STRING MODELS
SUPERSYMMETRY
UNITARITY
YANG-MILLS THEORY