Six-point remainder function in multi-Regge-kinematics: an efficient approach in momentum space
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Date
2016-05
Publication Type
Journal Article
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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.
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published
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Volume
2016
Pages / Article No.
55
Publisher
Springer
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Subject
Scattering Amplitudes; Extended Supersymmetry
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03896 - Beisert, Niklas / Beisert, Niklas