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

TL;DR

This paper develops a resummation technique for flux tube excitation series in polygonal Wilson loops within N=4 SYM, focusing on one-particle effective states and demonstrating its application to one-loop NMHV 6-particle amplitudes.

Contribution

It introduces a novel resummation method for flux tube series that can be extended to higher loops and more complex effective particle contributions.

Findings

Resummation technique successfully applied to one-loop NMHV 6-particle amplitude

Method shows potential for higher-loop and multi-particle generalizations

Enhances understanding of flux tube excitations in N=4 SYM

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.