Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-05-14
Phys.Rev.D76:125020,2007
Physics
High Energy Physics
High Energy Physics - Theory
52 pages, 20 figures, revtex
Scientific paper
10.1103/PhysRevD.76.125020
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 non-trivial 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.
Bern Zvi
Carrasco John Joseph M.
Johansson Håkan
Kosower David A.
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