Resumming the POPE at one loop

The pentagon operator product expansion represents polygonal wilson loops in planar $$ mathcal{n}=4 $$ super yang-mills in terms of a series of flux tube excitations for finite coupling. we demonstrate how to re-sum this series at the one loop level for the hexagonal wilson loop dual to the six-point mhv amplitude. by summing over a series of effective excitations we find expressions which integrate to logarithms and polylogarithms, reproducing the known one-loop result.