Pentagon OPE resummation in N=4 SYM: hexagons with one effective particle contribution

Abstract

We present the technique for resummation of flux tube excitations series arising in pentagon operator expansion program for polygonal Wilson loops in N=4 SYM. Here we restrict ourselves with contributions of one-particle effective states and consider as a particular example NMHV 6 particle amplitude at one-loop. The presented technique is also applicable at higher loops for one effective particle contributions and has the potential for generalization for contributions with more effective particles.

25 pages; v2: minor changes, typos corrected

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• The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
• Hexagon Bootstrap in the Double Scaling Limit