Nonsinglet pentagons and NMHV amplitudes

Nuclear Physics B. 2015;896(C):493-554 DOI 10.1016/j.nuclphysb.2015.05.002


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Journal Title: Nuclear Physics B

ISSN: 0550-3213 (Print); 1873-1562 (Online)

Publisher: Elsevier

LCC Subject Category: Science: Physics: Nuclear and particle physics. Atomic energy. Radioactivity

Country of publisher: Netherlands

Language of fulltext: English

Full-text formats available: PDF, HTML



A.V. Belitsky


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Time From Submission to Publication: 12 weeks


Abstract | Full Text

Scattering amplitudes in maximally supersymmetric gauge theory receive a dual description in terms of the expectation value of the super Wilson loop stretched on a null polygonal contour. This makes the analysis amenable to nonperturbative techniques. Presently, we elaborate on a refined form of the operator product expansion in terms of pentagon transitions to compute twist-two contributions to NMHV amplitudes. To start with, we provide a novel derivation of scattering matrices starting from Baxter equations for flux-tube excitations propagating on magnon background. We propose bootstrap equations obeyed by pentagon form factors with nonsinglet quantum numbers with respect to the R-symmetry group and provide solutions to them to all orders in 't Hooft coupling. These are then successfully confronted against available perturbative calculations for NMHV amplitudes to four-loop order.