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 \( \mathcal{N} \) = 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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Broedel, J., Sprenger, M. Six-point remainder function in multi-Regge-kinematics: an efficient approach in momentum space. J. High Energ. Phys. 2016, 55 (2016). https://doi.org/10.1007/JHEP05(2016)055
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DOI: https://doi.org/10.1007/JHEP05(2016)055