Two-Loop N=4 Supersymmetric Amplitudes and QCD

Abstract

Two-loop four-gluon N=4 susy amplitudes are evaluated via cutting techniques as a testing ground for QCD. A conjecture for four-point amplitudes to all loop orders is described. We also present a new conjecture for the leading-color part of the two-loop five-gluon amplitudes.

Figures (4)

• Figure 1: The two-particle $s$-channel cut has two contributions: one with the four-point one-loop amplitude '1' to the left and the tree amplitude 'T' to the right (a) and the other being the reverse (b).
• Figure 2: The result for the leading color two-loop amplitude, corresponding to Eq. (\ref{['LeadingColorResult']}). The diagrams correspond to scalar $\phi^3$ integrals.
• Figure 3: Starting from an $n$-loop integral function we may add an extra line to obtain results for $(n+1)$-loop amplitudes. The two-lines on the left represent two lines buried in some $n$-loop integral.
• Figure 4: A conjecture for the leading color parts of the two-loop five-gluon amplitude. The arrow marks the line carrying loop momentum $q$.