The all-loop conjecture for integrands of reggeon amplitudes in N=4 SYM

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In this paper we present the all-loop conjecture for integrands of Wilson line form factors, also known as reggeon amplitudes, in 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 BCFW recursions both for tree-level reggeon amplitudes and their loop integrands.
• In addition we provide predictions for reggeon loop integrands written in the basis of local integrals.