Six-point remainder function in multi-Regge-kinematics: an efficient approach in momentum space
Open access
Date
2016-05Type
- Journal Article
Abstract
Starting from the known all-order expressions for the BFKL eigenvalue and impact factor, we establish a formalism allowing the direct calculation of the six-point remainder function in N = 4 super-Yang-Mills theory in momentum space to — in principle — all orders in perturbation theory. Based upon identities which relate different integrals contributing to the inverse Fourier-Mellin transform recursively, the formalism allows to easily access the full remainder function in multi-Regge kinematics up to 7 loops and up to 10 loops in the fourth logarithmic order. Using the formalism, we prove the all-loop formula for the leading logarithmic approximation proposed by Pennington and investigate the behavior of several newly calculated functions. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000117036Publication status
publishedExternal links
Journal / series
Journal of High Energy PhysicsVolume
Pages / Article No.
Publisher
SpringerSubject
Scattering Amplitudes; Extended SupersymmetryOrganisational unit
03896 - Beisert, Niklas / Beisert, Niklas
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