Abstract
We address the near-collinear expansion of multiparticle NMHV amplitudes, namely, the heptagon and octagons in the dual language of null polygonal super Wilson loops. In particular, we verify multiparticle factorization of charged pentagon transitions in terms of pentagons for single flux-tube excitations within the framework of refined operator product expansion. We find a perfect agreement with available tree and one-loop data.
Highlights
The theory of the color flux-tube in planar maximally supersymmetric gauge theory is deeply rooted in the integrability of the model [1]
In Appendix B, we summarize all ingredients of the pentagon approach, i.e., all pentagon transitions, single and twoparticle measures, in the latter case involving one small fermion, as well as flux-tube dispersion relations limiting ourselves to one-loop order
An immediate inspection demonstrates that to one-loop accuracy, the small-large antifermion pair alone accommodates the entire contribution in the operator product expansion such that to this accuracy W[2,1](−2,0) reads
Summary
The theory of the color flux-tube in planar maximally supersymmetric gauge theory is deeply rooted in the integrability of the model [1]. The dispersion relation E = E(p) for the latter is conveniently parametrized by the excitation’s rapidity u, such that E = E(u) and p = p(u) The latter are known to all orders in ’t Hooft coupling for any excitations propagating on the flux tube [12]. There is one intermediate pentagon in this case, we will address successively single-particle, two-to-one and two-to-two transitions in turn This case alone already encompasses all major flux-tube excitations. In Appendix B, we summarize all ingredients of the pentagon approach, i.e., all pentagon transitions, single and twoparticle measures, in the latter case involving one small fermion, as well as flux-tube dispersion relations limiting ourselves to one-loop order
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