Off-shell form factor in N =4 sYM at three loops

Авторы: Belitsky A.V., Bork L.V., Smirnov V.A.
Журнал: Journal of High Energy Physics
Номер: 11
Год издания: 2023
Издательство: IOP Publishing
Местоположение издательства: [Bristol, UK], England
Номер статьи: 111(2023)
DOI: 10.1007/JHEP11(2023)111
Аннотация: In this paper we provide a detailed account of our calculation, briefly reportedin arXiv:2209.09263, of a two-particle form factor of the lowest components of the stress-tensor multiplet in N = 4 sYM theory on its Coulomb branch, which is interpreted asan off-shell kinematical regime. We demonstrate that up to three-loop order, both itsinfrared-divergent as well as finite parts do exponentiate in the Sudakov regime, with thecoefficient accompanying the double logarithm being determined by the octagon anomalousdimension Γoct. We also observe that up to this order in ’t Hooft coupling the logarithm ofthe Sudakov form factor is identical to twice the logarithm of the null octagon, which wasintroduced within the context of integrability-based computation of four point correlatorswith infinitely large R-charges. The null octagon is known in a closed form for all values ofthe ’t Hooft coupling constant and kinematical parameters. We conjecture that the relationbetween the former and the off-shell Sudakov form factor holds to all loop orders
Добавил в систему: Смирнов Владимир Александрович

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