Abstract
In this paper we present the all-loop conjecture for integrands of Wilson line form factors, also known as reggeon amplitudes, in \( \mathcal{N}=4 \) SYM. In particular we present a new gluing operation in momentum twistor space used to obtain reggeon tree-level amplitudes and loop integrands starting from corresponding expressions for on-shell amplitudes. The introduced gluing procedure is used to derive the BCFW recursions both for tree-level reggeon amplitudes and their loop integrands. In addition we provide predictions for the reggeon loop integrands written in the basis of local integrals. As a check of the correctness of the gluing operation at loop level we derive the expression for LO BFKL kernel in \( \mathcal{N}=4 \) SYM.
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Bolshov, A.E., Bork, L.V. & Onishchenko, A.I. The all-loop conjecture for integrands of reggeon amplitudes in \( \mathcal{N}=4 \) SYM. J. High Energ. Phys. 2018, 129 (2018). https://doi.org/10.1007/JHEP06(2018)129
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DOI: https://doi.org/10.1007/JHEP06(2018)129