Iterative structure within the five-particle two-loop amplitude

Feb, 2006
22 pages
Published in:
  • Phys.Rev.D 74 (2006) 045020
e-Print:

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Abstract:
We find an unexpected iterative structure within the two-loop five-gluon amplitude in N = 4 supersymmetric Yang-Mills theory. Specifically, we show that a subset of diagrams contributing to the full amplitude, including a two-loop pentagon-box integral with nontrivial dependence on five kinematical variables, satisfies an iterative relation in terms of one-loop scalar box diagrams. The implications of this result for the possible iterative structure of the full two-loop amplitude are discussed.
  • 11.30.Pb
  • 11.15.Bt
  • gauge field theory: Yang-Mills
  • supersymmetry
  • n-point function: 5
  • perturbation theory: higher-order
  • higher-order: 2
  • analytic properties