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Inspired by the calculational steps originally performed by Kawai, Lewellenand Tye, we decompose scattering amplitudes with single-valued coefficientsobtained in the multi-Regge-limit of N=4 super-Yang-Mills theory into productsof scattering amplitudes with multi-valued coefficients. We consider thesimplest non-trivial situation: the six-point remainder function complementingthe Bern-Dixon-Smirnov ansatz for multi-loop amplitudes. Utilizing inverseMellin transformations, all single-valued amplitude components can indeed bedecomposed into multi-valued amplitude components. Although the finalexpression is very similar in structure to the Kawai-Lewellen-Tye construction,moving away from the highly symmetric string scenario comes with severalimponderabilities, some of which become more pronounced when considering morethan six external legs in the remainder function.

A KLT-like construction for multi-Regge amplitudes